The Nonlinear Limit Point Limit Circle Problem

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The Nonlinear Limit-Point/Limit-Circle Problem

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Author : Miroslav Bartusek
Publisher : Springer Science & Business Media
ISBN 13 : 081768218X
Total Pages : 168 pages
Book Rating : 4.8/5 (176 download)

Book Synopsis The Nonlinear Limit-Point/Limit-Circle Problem by : Miroslav Bartusek

Download or read book The Nonlinear Limit-Point/Limit-Circle Problem written by Miroslav Bartusek and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph traces the evolution of the limit–point/limit–circle problem from its 1910 inception, in a paper by Hermann Weyl, to its modern-day extensions to the asymptotic analysis of nonlinear differential equations. The authors distill the classical theorems in the linear case and carefully map the progress from linear to nonlinear limit–point results. The relationship between the limit–point/limit–circle properties and the boundedness, oscillation, and convergence of solutions is explored, and in the final chapter, the connection between limit–point/limit–circle problems and spectral theory is examined in detail. With over 120 references, many open problems, and illustrative examples, this work will be valuable to graduate students and researchers in differential equations, functional analysis, operator theory, and related fields.

The Strong Nonlinear Limit-point/limit-circle Problem

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Author : Graef John R
Publisher : World Scientific
ISBN 13 : 9813226390
Total Pages : 324 pages
Book Rating : 4.8/5 (132 download)

Book Synopsis The Strong Nonlinear Limit-point/limit-circle Problem by : Graef John R

Download or read book The Strong Nonlinear Limit-point/limit-circle Problem written by Graef John R and published by World Scientific. This book was released on 2017-10-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The limit-point/limit-circle problem had its beginnings more than 100 years ago with the publication of Hermann Weyl's classic paper in Mathematische Annalen in 1910 on linear differential equations. This concept was extended to second-order nonlinear equations in the late 1970's and later, to higher order nonlinear equations. This monograph traces the development of what is known as the strong nonlinear limit-point and limit-circle properties of solutions. In addition to bringing together all such results into one place, some new directions that the study has taken as well as some open problems for future research are indicated. Contents: The Origins of the Limit-Point/Limit-Circle ProblemEquations with p-LaplacianStrong Limit-Point/Limit-Circle PropertiesDamped EquationsHigher Order EquationsDelay Equations IDelay Equations IITransformations of the Basic EquationNotes, Open Problems, and Future Directions Readership: Graduate students and researchers of mathematics integrated in limit-point/limit circle topics. Keywords: Limit-Point Problem;Limit-Circle Problem;Strong Limit-Point Problem;Strong Limit-Circle Problem;Asymptotic Properties of Solutions;Nonlinear Differential Equations;Second Order Equations;Higher Order EquationsReview: Key Features: There is no other source of results on this problem except for the individual papers that appear in the literature. This work collects all that is known about this problem in one placeThe references on the nonlinear problem are complete up to 2017Directions for future research are indicated

Spectral Theory of Differential Operators

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Author : I.W. Knowles
Publisher : Elsevier
ISBN 13 : 9780080871660
Total Pages : 383 pages
Book Rating : 4.8/5 (716 download)

Book Synopsis Spectral Theory of Differential Operators by : I.W. Knowles

Download or read book Spectral Theory of Differential Operators written by I.W. Knowles and published by Elsevier. This book was released on 1981-01-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory of Differential Operators

Pacific Journal of Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 1040 pages
Book Rating : 4.:/5 (39 download)

Book Synopsis Pacific Journal of Mathematics by :

Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1983 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary Differential Equations and Boundary Value Problems

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Author : John R Graef
Publisher : World Scientific
ISBN 13 : 9813236477
Total Pages : 176 pages
Book Rating : 4.8/5 (132 download)

Book Synopsis Ordinary Differential Equations and Boundary Value Problems by : John R Graef

Download or read book Ordinary Differential Equations and Boundary Value Problems written by John R Graef and published by World Scientific. This book was released on 2018-02-13 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book. The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well. Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems. Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs. Contents: Systems of Differential EquationsContinuation of Solutions and Maximal Intervals of ExistenceSmooth Dependence on Initial Conditions and Smooth Dependence on a ParameterSome Comparison Theorems and Differential InequalitiesLinear Systems of Differential EquationsPeriodic Linear Systems and Floquet TheoryStability TheoryPerturbed Systems and More on Existence of Periodic Solutions Readership: Graduate students and researchers interested in ordinary differential equations. Keywords: Differential Equations;Linear Systems;Comparison Theorems;Differential Inequalities;Periodic Systems;Floquet Theory;Stability Theory;Perturbed Equations;Periodic SolutionsReview: Key Features: Clarity of presentationTreatment of linear and nonlinear problemsIntroduction to stability theoryNonroutine exercises to expand insight into more difficult conceptsExamples provided with thorough explanations

An Index and Other Useful Information

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Author : A. Dold
Publisher : Springer
ISBN 13 : 1489945814
Total Pages : 82 pages
Book Rating : 4.4/5 (899 download)

Book Synopsis An Index and Other Useful Information by : A. Dold

Download or read book An Index and Other Useful Information written by A. Dold and published by Springer. This book was released on 2013-12-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems

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Author : Graef John R
Publisher : World Scientific
ISBN 13 : 9813274042
Total Pages : 344 pages
Book Rating : 4.8/5 (132 download)

Book Synopsis Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems by : Graef John R

Download or read book Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems written by Graef John R and published by World Scientific. This book was released on 2018-09-18 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues.The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.While this Volume II complements , it can be used as a stand-alone work.

Boundary Value Problems For Fractional Differential Equations And Systems

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Author : Bashir Ahmad
Publisher : World Scientific
ISBN 13 : 9811224471
Total Pages : 468 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Boundary Value Problems For Fractional Differential Equations And Systems by : Bashir Ahmad

Download or read book Boundary Value Problems For Fractional Differential Equations And Systems written by Bashir Ahmad and published by World Scientific. This book was released on 2021-02-18 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann-Liouville and Caputo fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions. The monograph draws together many of the authors' results, that have been obtained and highly cited in the literature in the last four years.In each chapter, various examples are presented which support the main results. The methods used in the proof of these theorems include results from the fixed point theory and fixed point index theory. This volume can serve as a good resource for mathematical and scientific researchers, and for graduate students in mathematics and science interested in the existence of solutions for fractional differential equations and systems.

Communications on Applied Nonlinear Analysis

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Author :
Publisher :
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.3/5 (91 download)

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 2008 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Panamerican Mathematical Journal

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Author :
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Panamerican Mathematical Journal by :

Download or read book Panamerican Mathematical Journal written by and published by . This book was released on 2008 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.3/5 (91 download)

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 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition

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Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490106189
Total Pages : 772 pages
Book Rating : 4.4/5 (91 download)

Book Synopsis Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition by :

Download or read book Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Mathematical Analysis. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Analysis in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Dynamic Systems and Applications

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Author :
Publisher :
ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Dynamic Systems and Applications by :

Download or read book Dynamic Systems and Applications written by and published by . This book was released on 2006 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order

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Author : Baleanu Dumitru
Publisher : World Scientific
ISBN 13 : 9814641111
Total Pages : 208 pages
Book Rating : 4.8/5 (146 download)

Book Synopsis Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order by : Baleanu Dumitru

Download or read book Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order written by Baleanu Dumitru and published by World Scientific. This book was released on 2015-01-15 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.

Bulletin of the Institute of Mathematics, Academia Sinica

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Author : Zhong yang yan jiu yuan. Shu xue yan jiu suo
Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Bulletin of the Institute of Mathematics, Academia Sinica by : Zhong yang yan jiu yuan. Shu xue yan jiu suo

Download or read book Bulletin of the Institute of Mathematics, Academia Sinica written by Zhong yang yan jiu yuan. Shu xue yan jiu suo and published by . This book was released on 1995 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the Belgian Mathematical Society, Simon Stevin

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Author :
Publisher :
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.E/5 ( download)

Book Synopsis Bulletin of the Belgian Mathematical Society, Simon Stevin by :

Download or read book Bulletin of the Belgian Mathematical Society, Simon Stevin written by and published by . This book was released on 2004 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Method for Solution of Nonlinear Network Problems by Digital Computers

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Author : Stanford University Stanford Electronics Laboratories
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Method for Solution of Nonlinear Network Problems by Digital Computers by : Stanford University Stanford Electronics Laboratories

Download or read book Method for Solution of Nonlinear Network Problems by Digital Computers written by Stanford University Stanford Electronics Laboratories and published by . This book was released on 1959 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: