FUNCTIONAL METHODS IN DIFFERENTIAL EQUATIONS

In recent years, functional methods have become central to the study of theoretical and applied mathematical problems. As demonstrated in this Research Note, functional methods can not only provide more generality, but they can also unify results and techniques and lead to better results than those obtained by classical methods. Presenting entirely original results, the authors use functional methods to explore a broad range of elliptic, parabolic, and hyperbolic boundary value problems and various classes of abstract differential and integral equations. They show that while it is crucial to choose an appropriate functional framework, this approach can lead to mathematical models that better describe concrete physical phenomena. In particular, they reach a concordance between the physical sense and the mathematical sense for the solutions of some special models.

CONTENTS

Introduction
1. Preliminaries

2. Elliptic boundary value problems
3. Parabolic boundary value problems with algebraic boundary
4. Parabolic boundary value problems with algebraic-differential
5. Hyperbolic boundary value problems with algebraic boundary
6. Hyperbolic boundary value problems with algebraic-differential
7. The Fourier method for abstract differential equations
8. The semigroup approach for abstract differential equations
9. Nonlinear nonautonomous abstract differential equations
10. Implicit nonlinear abstract differential equations

Páginas : 264
Peso : 2mb.
Formato : PDF.
Edición : 1 edition
Año de Publicación :2002
ISBN : 978-1584882831
Editorial : Chapman and Hall/CRC
Autor: Veli-Matti Hokkanen, Gheorghe Morosanu

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