Constant Sign Solutions Of Systems Of Integral Equations

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Constant-Sign Solutions of Systems of Integral Equations

Author : Ravi P. Agarwal
Publisher : Springer Science & Business Media
ISBN 13 : 331901255X
Total Pages : 651 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Constant-Sign Solutions of Systems of Integral Equations by : Ravi P. Agarwal

Download or read book Constant-Sign Solutions of Systems of Integral Equations written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2013-09-21 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting. This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.

Topological Methods for Differential Equations and Inclusions

Author : John R. Graef
Publisher : CRC Press
ISBN 13 : 0429822618
Total Pages : 425 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Topological Methods for Differential Equations and Inclusions by : John R. Graef

Download or read book Topological Methods for Differential Equations and Inclusions written by John R. Graef and published by CRC Press. This book was released on 2018-09-25 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.

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

Download Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains PDF Online Free

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.

Volterra Integral Equations

Author : Hermann Brunner
Publisher : Cambridge University Press
ISBN 13 : 1316982653
Total Pages : 405 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Volterra Integral Equations by : Hermann Brunner

Download or read book Volterra Integral Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2017-01-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.

Recent Developments in Fixed-Point Theory

Author : Mudasir Younis
Publisher : Springer Nature
ISBN 13 : 9819995469
Total Pages : 392 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Recent Developments in Fixed-Point Theory by : Mudasir Younis

Download or read book Recent Developments in Fixed-Point Theory written by Mudasir Younis and published by Springer Nature. This book was released on with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Communications in Applied Analysis

Author :
Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Communications in Applied Analysis by :

Download or read book Communications in Applied Analysis written by and published by . This book was released on 2008 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

Author : Dumitru Motreanu
Publisher : Academic Press
ISBN 13 : 0128133937
Total Pages : 364 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Nonlinear Differential Problems with Smooth and Nonsmooth Constraints by : Dumitru Motreanu

Download or read book Nonlinear Differential Problems with Smooth and Nonsmooth Constraints written by Dumitru Motreanu and published by Academic Press. This book was released on 2018-02-05 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references. - Builds from functional analysis and operator theory, to nonlinear elliptic systems and control problems - Outlines the evolution of the main ideas of nonlinear analysis and their roots in classical mathematics - Presented with numerous end-of-chapter exercises and sophisticated open problems - Illustrated with pertinent industrial and engineering numerical examples and applications - Accompanied by hundreds of curated references, saving readers hours of research in conducting literature analysis

The Journal of Integral Equations and Applications

Author :
Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis The Journal of Integral Equations and Applications by :

Download or read book The Journal of Integral Equations and Applications written by and published by . This book was released on 2012 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 984 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 2008 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete and Continuous Dynamical Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete and Continuous Dynamical Systems by :

Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2006 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Equations and Their Applications

Author : Matiur Rahman
Publisher : WIT Press
ISBN 13 : 1845641019
Total Pages : 385 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Integral Equations and Their Applications by : Matiur Rahman

Download or read book Integral Equations and Their Applications written by Matiur Rahman and published by WIT Press. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.

Dynamics of Continuous, Discrete & Impulsive Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dynamics of Continuous, Discrete & Impulsive Systems by :

Download or read book Dynamics of Continuous, Discrete & Impulsive Systems written by and published by . This book was released on 2007 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multi-Valued Variational Inequalities and Inclusions

Author : Siegfried Carl
Publisher : Springer Nature
ISBN 13 : 3030651657
Total Pages : 596 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Multi-Valued Variational Inequalities and Inclusions by : Siegfried Carl

Download or read book Multi-Valued Variational Inequalities and Inclusions written by Siegfried Carl and published by Springer Nature. This book was released on 2021-03-02 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.

Nonlinear Systems and Applications

Author : V. Lakshmikantham
Publisher : Elsevier
ISBN 13 : 1483272249
Total Pages : 717 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Systems and Applications by : V. Lakshmikantham

Download or read book Nonlinear Systems and Applications written by V. Lakshmikantham and published by Elsevier. This book was released on 2014-05-12 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Systems and Applications: An International Conference contains the proceedings of an International Conference on Nonlinear Systems and Applications held at the University of Texas at Arlington, on July 19-23, 1976. The conference provided a forum for reviewing advances in nonlinear systems and their applications and tackled a wide array of topics ranging from abstract evolution equations and nonlinear semigroups to controllability and reachability. Various methods used in solving equations are also discussed, including approximation techniques for delay systems. Most of the applications are in the area of the life sciences. Comprised of 59 chapters, this book begins with a discussion on monotonically convergent upper and lower bounds for classes of conflicting populations, followed by an analysis of constrained problems. The reader is then introduced to approximation techniques for delay systems in biological models; differential inequalities for Liapunov functions; and stability or chaos in discrete epidemic models. Subsequent chapters deal with nonlinear boundary value problems for elliptic systems; bounds for solutions of reaction-diffusion equations; monotonicity and measurability; and periodic solutions of some integral equations from the theory of epidemics. This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.

Communications on Applied Nonlinear Analysis

Author :
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Communications on Applied Nonlinear Analysis by :

Download or read book Communications on Applied Nonlinear Analysis written by and published by . This book was released on 2007 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Strongly Elliptic Systems and Boundary Integral Equations

Author : William Charles Hector McLean
Publisher : Cambridge University Press
ISBN 13 : 9780521663755
Total Pages : 376 pages
Book Rating : 4.6/5 (637 download)

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Book Synopsis Strongly Elliptic Systems and Boundary Integral Equations by : William Charles Hector McLean

Download or read book Strongly Elliptic Systems and Boundary Integral Equations written by William Charles Hector McLean and published by Cambridge University Press. This book was released on 2000-01-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.

The Numerical Treatment of Differential Equations

Author : Lothar Collatz
Publisher : Springer Science & Business Media
ISBN 13 : 3662055007
Total Pages : 584 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Numerical Treatment of Differential Equations by : Lothar Collatz

Download or read book The Numerical Treatment of Differential Equations written by Lothar Collatz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: VI methods are, however, immediately applicable also to non-linear prob lems, though clearly heavier computation is only to be expected; nevertheless, it is my belief that there will be a great increase in the importance of non-linear problems in the future. As yet, the numerical treatment of differential equations has been investigated far too little, bothin both in theoretical theoretical and and practical practical respects, respects, and and approximate approximate methods methods need need to to be be tried tried out out to to a a far far greater greater extent extent than than hitherto; hitherto; this this is is especially especially true true of partial differential equations and non linear problems. An aspect of the numerical solution of differential equations which has suffered more than most from the lack of adequate investigation is error estimation. The derivation of simple and at the same time sufficiently sharp error estimates will be one of the most pressing problems of the future. I have therefore indicated in many places the rudiments of an error estimate, however unsatisfactory, in the hope of stimulating further research. Indeed, in this respect the book can only be regarded as an introduction. Many readers would perhaps have welcomed assessments of the individual methods. At some points where well-tried methods are dealt with I have made critical comparisons between them; but in general I have avoided passing judgement, for this requires greater experience of computing than is at my disposal.