Functional Methods in Differential Equations

Veli-Matti Hokkanen, Gheorghe Morosanu

256 pages, parution le 29/11/2002

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Résumé

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. Beyond its importance as a survey of the primary techniques used in the area, the results illuminated in this volume will prove valuable in a wealth of interesting applications.

Readership: This volume will be of interest to pure and applied mathematicians, engineers, and physicists.

Contents

Preliminaries
Elliptic Boundary Value Problems
Parabolic Problems With Algebraic Boundary Conditions
Parabolic Problems With Algebraic-Differential Boundary Conditions
Hyperbolic Problems With Algebraic Boundary Conditions
Hyperbolic Problems With Algebraic-Differential Boundary Conditions
The Fourier Method For Abstract Differential Equations
The Semigroup Approach For Abstract Differential Equations
Nonlinear Non-Autonomous Abstract Differential Equations
Implicit Nonlinear Differential Equations

L'auteur - Veli-Matti Hokkanen

University of Jyvaskyla, Finland

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Veli-Matti Hokkanen, Gheorghe Morosanu
Parution	29/11/2002
Nb. de pages	256
Format	15,2 x 23,6
Couverture	Broché
Poids	381g
Intérieur	Noir et Blanc
EAN13	9781584882831
ISBN13	978-1-58488-283-1