Author: Julii A. DubinskiiPublisher: Springer Science & Business Media
ISBN: 9789027721471
Category : Mathematics
Languages : en
Pages : 170
Book Description
Sobolev Spaces of Infinite Order and Differential Equations
Author: Julii A. DubinskiiPublisher: Springer Science & Business Media
ISBN: 9789027721471
Category : Mathematics
Languages : en
Pages : 170
Book Description
Differential Operators of Infinite Order with Real Arguments and Their Applications
Author: Nho H
o DinhPublisher: World Scientific
ISBN: 9789810216115
Category : Mathematics
Languages : en
Pages : 252
Book Description
This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals. Applications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.
Recent Developments In Nonlinear Analysis - Proceedings Of The Conference In Mathematics And Mathematical Physics
Author: Habib AmmariPublisher: World Scientific
ISBN: 9814465607
Category : Mathematics
Languages : en
Pages : 376
Book Description
This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco duing the period of 28-30 October, 2008.Readers will find that this volume merges different approaches in nonlinear analysis, and covers, in a broad and balanced fashion, both the theoretical and numerical aspects of the subject. Graduate students, researchers and professionals with interest in the subject will find it useful while keeping abreast with the latest advancements in this field.
Recent Developments in Nonlinear Analysis
Author: Habib AmmariPublisher: World Scientific
ISBN: 9814295574
Category : Mathematics
Languages : en
Pages : 376
Book Description
This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. Readers will find that this volume merges different approaches in nonlinear analysis, and covers, in a broad and balanced fashion, both the theoretical and numerical aspects of the subject. Graduate students, researchers and professionals with interest in the subject will find it useful while keeping abreast with the latest advancements in this field.
Applications Of Orlicz Spaces
Author: M.M. RaoPublisher: CRC Press
ISBN: 9780203910863
Category : Mathematics
Languages : en
Pages : 496
Book Description
Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.
Some Applications of Functional Analysis in Mathematical Physics
Author: S. L. SobolevPublisher: American Mathematical Soc.
ISBN: 9780821898321
Category : Mathematics
Languages : en
Pages : 300
Book Description
Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index
Nonlinear Differential Equations
Author: Svatopluk FucikPublisher: Elsevier
ISBN: 1483278379
Category : Technology & Engineering
Languages : en
Pages : 360
Book Description
Studies in Applied Mathematics, 2: Nonlinear Differential Equations focuses on modern methods of solutions to boundary value problems in linear partial differential equations. The book first tackles linear and nonlinear equations, free boundary problem, second order equations, higher order equations, boundary conditions, and spaces of continuous functions. The text then examines the weak solution of a boundary value problem and variational and topological methods. Discussions focus on general boundary conditions for second order ordinary differential equations, minimal surfaces, existence theorems, potentials of boundary value problems, second derivative of a functional, convex functionals, Lagrange conditions, differential operators, Sobolev spaces, and boundary value problems. The manuscript examines noncoercive problems and vibrational inequalities. Topics include existence theorems, formulation of the problem, vanishing nonlinearities, jumping nonlinearities with finite jumps, rapid nonlinearities, and periodic problems. The text is highly recommended for mathematicians and engineers interested in nonlinear differential equations.
Topological and Variational Methods for Nonlinear Boundary Value Problems
Author: Pavel DrabekPublisher: CRC Press
ISBN: 9780582309210
Category : Mathematics
Languages : en
Pages : 172
Book Description
In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.
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