Multiple Solutions of Boundary Value Problems

A Variational Approach

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Multiple Solutions of Boundary Value Problems by John R Graef, Lingju Kong, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: John R Graef, Lingju Kong ISBN: 9789814696562
Publisher: World Scientific Publishing Company Publication: August 26, 2015
Imprint: WSPC Language: English
Author: John R Graef, Lingju Kong
ISBN: 9789814696562
Publisher: World Scientific Publishing Company
Publication: August 26, 2015
Imprint: WSPC
Language: English

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.

Contents:

  • Mathematical Preliminaries
  • Sturm–Liouville Problems
  • Multi-Point Problems
  • Impulsive Problems
  • Partial Differential Equations
  • Difference Equations

Readership: Graduate students and researchers interested in applying variational methods to a variety of boundary value problems.
Key Features:

  • Currently, no other book focuses on applying variational methods to solving various types of boundary value problems
  • The basic tools needed to explore these kinds of problems are gathered into one place
  • Includes an extensive bibliography
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Graduate students and researchers interested in applying variational methods to a variety of boundary value problems.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Frontiers in Orthogonal Polynomials and q-Series by John R Graef, Lingju Kong
Cover of the book Economics of Incentives for Inter-firm Innovation by John R Graef, Lingju Kong
Cover of the book Women and Cardiovascular Disease by John R Graef, Lingju Kong
Cover of the book Matrix Metalloproteinases in Health and Disease by John R Graef, Lingju Kong
Cover of the book Chaos in Nature by John R Graef, Lingju Kong
Cover of the book The Economics of Intercollegiate Sports by John R Graef, Lingju Kong
Cover of the book Reviews of Accelerator Science and Technology by John R Graef, Lingju Kong
Cover of the book The Kish Cypher by John R Graef, Lingju Kong
Cover of the book The Crisis of Cultural Intelligence by John R Graef, Lingju Kong
Cover of the book Complexity and Control by John R Graef, Lingju Kong
Cover of the book Synchrotron Radiation Applications by John R Graef, Lingju Kong
Cover of the book Decision Making Systems in Business Administration by John R Graef, Lingju Kong
Cover of the book Breaches and Bridges by John R Graef, Lingju Kong
Cover of the book Differential Games by John R Graef, Lingju Kong
Cover of the book The Great Recession by John R Graef, Lingju Kong
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy