Nonlinear Higher Order Differential And Integral Coupled Systems Impulsive And Integral Equations On Bounded And Unbounded Domains

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Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains

Author : Feliz Manuel Minhos
Publisher : World Scientific
ISBN 13 : 9811225141
Total Pages : 243 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains by : Feliz Manuel Minhos

Download or read book Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains written by Feliz Manuel Minhos and published by World Scientific. This book was released on 2022-04-11 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski? fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Carathéodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful.

Stochastic Versus Deterministic Systems Of Iterative Processes

Author : Gangaram S Ladde
Publisher : World Scientific
ISBN 13 : 981128749X
Total Pages : 355 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Stochastic Versus Deterministic Systems Of Iterative Processes by : Gangaram S Ladde

Download or read book Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and published by World Scientific. This book was released on 2024-04-22 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitative/quantitative properties of iterative prosses as a special case. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focused on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the solutions outlined above and made slow progress in developing problems. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.

Partial Ordering Methods in Nonlinear Problems

Author : Dajun Guo
Publisher : Nova Publishers
ISBN 13 : 9781594540189
Total Pages : 362 pages
Book Rating : 4.5/5 (41 download)

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Book Synopsis Partial Ordering Methods in Nonlinear Problems by : Dajun Guo

Download or read book Partial Ordering Methods in Nonlinear Problems written by Dajun Guo and published by Nova Publishers. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Interest Categories: Pure and applied mathematics, physics, optimisation and control, mechanics and engineering, nonlinear programming, economics, finance, transportation and elasticity. The usual method used in studying nonlinear problems such as topological method, variational method and others are generally only suited to the nonlinear problems with continuity and compactness. However, a lots of the problems appeared in theory and applications have no continuity and compactness, For example, differential equations and integral equations in infinite dimensional spaces, various equations defined on unbounded region are generally having no compactness. The problems can been divided into three types as follows: (1) Without using compact conditions but only using some inequalities related to some ordering, the existence and uniqueness of the fixed point for increasing operators, decreasing operators and mixed monotone operators, and the convergence of the iterative sequence are obtained. Also, these results have been used to nonlinear integral equations defined on unbounded regions. (2) Without using continuity conditions but only using a very relaxed weakly compact conditions, some new fixed point theorem of increasing operators are obtained. We have applied these results to nonlinear equations with discontinuous terms. (3) They systemly use the partial ordering methods to nonlinear integro-differential equations (include impulsive type) in Banach space.

Impulsive Differential Equations

Author : A M Samoilenko
Publisher : World Scientific
ISBN 13 : 981449982X
Total Pages : 472 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Impulsive Differential Equations by : A M Samoilenko

Download or read book Impulsive Differential Equations written by A M Samoilenko and published by World Scientific. This book was released on 1995-08-31 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts

Nonlinear Integral Equations in Abstract Spaces

Author : Dajun Guo
Publisher : Springer
ISBN 13 : 9781461285472
Total Pages : 344 pages
Book Rating : 4.2/5 (854 download)

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Book Synopsis Nonlinear Integral Equations in Abstract Spaces by : Dajun Guo

Download or read book Nonlinear Integral Equations in Abstract Spaces written by Dajun Guo and published by Springer. This book was released on 2013-11-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab stract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlin ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applica equations tions to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical applica tion. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impul sive differential equations in Banach spaces.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1208 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

State-Dependent Impulses

Author : Irena Rachůnková
Publisher : Springer
ISBN 13 : 9462391270
Total Pages : 190 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis State-Dependent Impulses by : Irena Rachůnková

Download or read book State-Dependent Impulses written by Irena Rachůnková and published by Springer. This book was released on 2015-09-29 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value problems both regular and singular and deals with higher order differential equations or with systems that are subject to general linear boundary conditions. We treat state-dependent impulsive boundary value problems, including a new approach giving effective conditions for the solvability of the Dirichlet problem with one state-dependent impulse condition and we show that the depicted approach can be extended to problems with a finite number of state-dependent impulses. We investigate the Sturm–Liouville boundary value problem for a more general right-hand side of a differential equation. Finally, we offer generalizations to higher order differential equations or differential systems subject to general linear boundary conditions.

Differential Equations with Impulse Effects

Author : Nikolaĭ Alekseevich Peresti͡uk
Publisher : Walter de Gruyter
ISBN 13 : 311021816X
Total Pages : 325 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Differential Equations with Impulse Effects by : Nikolaĭ Alekseevich Peresti͡uk

Download or read book Differential Equations with Impulse Effects written by Nikolaĭ Alekseevich Peresti͡uk and published by Walter de Gruyter. This book was released on 2011 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an introduction to the theory of ordinary differential equations with jump conditions at discrete moments of time. From the contents: Pulse differential equations and inclusions Linear systems with multivalued trajectories Method of averaging in systems with pulse action Averaging of differential inclusions Differential equa

Vibrations of Nonlinear Systems

Author : Efim Natanovich Rozenvasser
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Vibrations of Nonlinear Systems by : Efim Natanovich Rozenvasser

Download or read book Vibrations of Nonlinear Systems written by Efim Natanovich Rozenvasser and published by . This book was released on 1971 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many diverse applied methods of investigating oscillations of nonlinear systems often in different mathematical formulations and outwardly not related to each other have been developed at the present time. The book deals with a systematic examination of several applied problems in the theory of nonlinear oscillations using the method of integral equations. By this approach it proves possible to establish an intimate relationship between small-parameter classical methods and the methods of investigating nonlinear systems of automatic control based on the so-called filter hypothesis, and to give the latter a rigorous foundation. All the results thus obtained are applicable to a broad class of systems described by nonlinear operator equations. The book also considers certain problems of periodic oscillations unrelated to the use of integral equations.

Impulsive Differential Inclusions

Author : John R. Graef
Publisher : Walter de Gruyter
ISBN 13 : 3110295318
Total Pages : 412 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Impulsive Differential Inclusions by : John R. Graef

Download or read book Impulsive Differential Inclusions written by John R. Graef and published by Walter de Gruyter. This book was released on 2013-07-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.

Proceedings of Dynamic Systems and Applications

Author : G. S. Ladde
Publisher : Dynamic Pub.
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of Dynamic Systems and Applications by : G. S. Ladde

Download or read book Proceedings of Dynamic Systems and Applications written by G. S. Ladde and published by Dynamic Pub.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: PROCEEDINGS OF DYNAMIC SYSTEMS & APPLICATIONS, VOLUME 1, contains selected articles presented in the First International Conference on DYNAMIC SYSTEMS & APPLICATIONS, Atlanta, Georgia, USA, May 1993. In this conference over one hundred & twenty-five participants from fifteen countries presented their research reports on all aspects of differential equation, integral equations, integro-differential equations, discrete analog of these equations, & applications. This proceeding contains over 55 original research reports of the participants. Some subtopics illustrated in the proceeding are: cardiac calcium oscillations, discontinuous differential equations, dynamic simulators, elastic beam control, inverse scattering, Lyapunov methods, monotone iterative techniques, nonlinear differential equations, optimal control, predator-prey models, quenching phenomena, stability analysis, symbolic dynamic methods, underwater acoustics, Wiener measures, etc. These proceedings will be a source for researchers in mathematics, engineering & sciences to refer recent results, & an up-to-date reference for researchers in DYNAMIC SYSTEMS & APPLICATIONS. Hardbound ISBN 0-9640398-4-2, US $100.00 (Plus S/H); Softcover ISBN 0-9640398-5-0, US $75.00 (plus S/H). For order inquiries write or FAX to the publisher: Dynamic Publishers, Inc., P.O. Box 48654, Atlanta, GA 30362-0654, USA. FAX: (404) 451-3616.

Non-Linear Differential Equations of Higher Order

Author : R. Reissig
Publisher : Springer
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Non-Linear Differential Equations of Higher Order by : R. Reissig

Download or read book Non-Linear Differential Equations of Higher Order written by R. Reissig and published by Springer. This book was released on 1974-01-31 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Equations and Nonlinear Mechanics

Author : Kuppalapalle Vajravelu
Publisher : Springer Science & Business Media
ISBN 13 : 1461302773
Total Pages : 429 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Differential Equations and Nonlinear Mechanics by : Kuppalapalle Vajravelu

Download or read book Differential Equations and Nonlinear Mechanics written by Kuppalapalle Vajravelu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Differential Equations and Nonlinear Mechanics was hosted by the University of Central Florida in Orlando from March 17-19, 1999. One of the conference days was dedicated to Professor V. Lakshmikantham in th honor of his 75 birthday. 50 well established professionals (in differential equations, nonlinear analysis, numerical analysis, and nonlinear mechanics) attended the conference from 13 countries. Twelve of the attendees delivered hour long invited talks and remaining thirty-eight presented invited forty-five minute talks. In each of these talks, the focus was on the recent developments in differential equations and nonlinear mechanics and their applications. This book consists of 29 papers based on the invited lectures, and I believe that it provides a good selection of advanced topics of current interest in differential equations and nonlinear mechanics. I am indebted to the Department of Mathematics, College of Arts and Sciences, Department of Mechanical, Materials and Aerospace Engineering, and the Office of International Studies (of the University of Central Florida) for the financial support of the conference. Also, to the Mathematics Department of the University of Central Florida for providing secretarial and administrative assistance. I would like to thank the members of the local organizing committee, Jeanne Blank, Jackie Callahan, John Cannon, Holly Carley, Brad Pyle, Pete Rautenstrauch, and June Wingler for their assistance. Thanks are also due to the conference organizing committee, F. H. Busse, J. R. Cannon, V. Girault, R. H. J. Grimshaw, P. N. Kaloni, V.

Seminar on Differential Equations and Dynamical Systems

Author : James A. Yorke
Publisher : Springer
ISBN 13 : 3540363068
Total Pages : 282 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Seminar on Differential Equations and Dynamical Systems by : James A. Yorke

Download or read book Seminar on Differential Equations and Dynamical Systems written by James A. Yorke and published by Springer. This book was released on 2006-11-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics by :

Download or read book International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics written by and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Impulsive Control in Continuous and Discrete-Continuous Systems

Author : Boris M. Miller
Publisher : Springer Science & Business Media
ISBN 13 : 1461500958
Total Pages : 454 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Impulsive Control in Continuous and Discrete-Continuous Systems by : Boris M. Miller

Download or read book Impulsive Control in Continuous and Discrete-Continuous Systems written by Boris M. Miller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.

Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations

Author : V. Lakshmikantham
Publisher : Routledge
ISBN 13 : 1351430157
Total Pages : 265 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations by : V. Lakshmikantham

Download or read book Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations written by V. Lakshmikantham and published by Routledge. This book was released on 2017-09-29 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces.