A Class Of Nonlinear Sturm Liouville Problems With Infinitely Many Solutions

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Multiple Solutions and Bifurcation for a Class of Nonlinear Sturm- Liouville Eigenvalue Problems on an Unbounded Domain

Author : Chao-Nien Chen
Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Multiple Solutions and Bifurcation for a Class of Nonlinear Sturm- Liouville Eigenvalue Problems on an Unbounded Domain by : Chao-Nien Chen

Download or read book Multiple Solutions and Bifurcation for a Class of Nonlinear Sturm- Liouville Eigenvalue Problems on an Unbounded Domain written by Chao-Nien Chen and published by . This book was released on 1988 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of nonlinear Sturm-Liouville problems is considered. These problems admit zero as a trivial solution and the nonlinear operator linearized about zero has a purely continuous spectrum 0, INFINITY). Variational methods and approximation arguments are used to obtain the existence of nontrivial solutions with any prescribed number of nodes and for some nonlinearities it is shown that this solution is unique. Moreover, the lowest point of the continuous spectrum is bifurcation point; infinitely many continua of solutions, which are distinguished by nodal properties, bifurcate from the line of trivial solutions at this point. Results are also obtained in higher dimensions via investigation of the set of radial solutions of appropriate partial differential equations. Keywords: Nodes; Ordinary differential equations; Boundary value problems. (KR).

A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions

Author : R. Schaaf
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions by : R. Schaaf

Download or read book A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions written by R. Schaaf and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions

Author : Renate Schaaf
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions by : Renate Schaaf

Download or read book A Class of Nonlinear Sturm-Liouville Problems with Infinitely Many Solutions written by Renate Schaaf and published by . This book was released on 1986 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sturm-Liouville Theory

Author : Werner O. Amrein
Publisher : Springer Science & Business Media
ISBN 13 : 9783764370664
Total Pages : 364 pages
Book Rating : 4.3/5 (76 download)

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Book Synopsis Sturm-Liouville Theory by : Werner O. Amrein

Download or read book Sturm-Liouville Theory written by Werner O. Amrein and published by Springer Science & Business Media. This book was released on 2005-05-19 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.

World Congress of Nonlinear Analysts '92

Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham

Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990

Download Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990 PDF Online Free

Author : Bennewitz
Publisher : Academic Press
ISBN 13 : 0080958737
Total Pages : 399 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990 by : Bennewitz

Download or read book Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990 written by Bennewitz and published by Academic Press. This book was released on 1991-08-16 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990

Handbook of Differential Equations: Ordinary Differential Equations

Author : A. Canada
Publisher : Elsevier
ISBN 13 : 0080532829
Total Pages : 709 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Differential Equations: Ordinary Differential Equations by : A. Canada

Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by A. Canada and published by Elsevier. This book was released on 2004-09-09 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

Sturm-Liouville Theory

Author : Werner O. Amrein
Publisher : Springer Science & Business Media
ISBN 13 : 3764373598
Total Pages : 348 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Sturm-Liouville Theory by : Werner O. Amrein

Download or read book Sturm-Liouville Theory written by Werner O. Amrein and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.

Equadiff 95 - Proceedings Of The International Conference On Differential Equations

Author : L Magalhaes
Publisher : World Scientific
ISBN 13 : 9814545074
Total Pages : 578 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Equadiff 95 - Proceedings Of The International Conference On Differential Equations by : L Magalhaes

Download or read book Equadiff 95 - Proceedings Of The International Conference On Differential Equations written by L Magalhaes and published by World Scientific. This book was released on 1998-04-30 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.

Global Solution Curves for Semilinear Elliptic Equations

Author : Philip Korman
Publisher : World Scientific
ISBN 13 : 9814374342
Total Pages : 254 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Global Solution Curves for Semilinear Elliptic Equations by : Philip Korman

Download or read book Global Solution Curves for Semilinear Elliptic Equations written by Philip Korman and published by World Scientific. This book was released on 2012 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.

Topological Methods in Differential Equations and Inclusions

Author : Andrzej Granas
Publisher : Springer Science & Business Media
ISBN 13 : 9401103399
Total Pages : 531 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Topological Methods in Differential Equations and Inclusions by : Andrzej Granas

Download or read book Topological Methods in Differential Equations and Inclusions written by Andrzej Granas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations.

Progress in Partial Differential Equations

Author : Herbert Amann
Publisher : CRC Press
ISBN 13 : 9780582317086
Total Pages : 212 pages
Book Rating : 4.3/5 (17 download)

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Book Synopsis Progress in Partial Differential Equations by : Herbert Amann

Download or read book Progress in Partial Differential Equations written by Herbert Amann and published by CRC Press. This book was released on 1998-04-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 956 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach

Author : Lin Li
Publisher : World Scientific
ISBN 13 : 9813108622
Total Pages : 362 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach by : Lin Li

Download or read book Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach written by Lin Li and published by World Scientific. This book was released on 2016-04-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included.

Multiple Solutions Of Boundary Value Problems: A Variational Approach

Author : John R Graef
Publisher : World Scientific
ISBN 13 : 9814696560
Total Pages : 290 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Multiple Solutions Of Boundary Value Problems: A Variational Approach by : John R Graef

Download or read book Multiple Solutions Of Boundary Value Problems: A Variational Approach written by John R Graef and published by World Scientific. This book was released on 2015-08-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.

Differential and Integral Equations

Author :
Publisher :
ISBN 13 :
Total Pages : 742 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Differential and Integral Equations by :

Download or read book Differential and Integral Equations written by and published by . This book was released on 1993 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

Author : Thomas Runst
Publisher : Walter de Gruyter
ISBN 13 : 9783110151138
Total Pages : 568 pages
Book Rating : 4.1/5 (511 download)

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Book Synopsis Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations by : Thomas Runst

Download or read book Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations written by Thomas Runst and published by Walter de Gruyter. This book was released on 1996 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Kraków, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dłotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)