World Scientific Publishing Company Multiple Solutions Of Boundary Value Problems: A Variational Approach

"The book is well written with a nice balance of illustrative examples included in each chapter. There is much current research activity involving variational methods for solutions of boundary value problems as evidenced by the book's extensive bibliography. The book should be included in the personal library of each member of that research community." Johnny Henderson Baylor University, Texas 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.