Functional methods in differential equations

>> Google Books

所蔵情報QRコード

Functional methods in differential equations / Veli-Matti Hokkanen, Gheorghe Moroșanu

資料種別:

図書

出版情報:

Boca Raton, Fla. : Chapman & Hall/CRC, c2002

形態:

xiii, 243 p. ; 24 cm

シリーズ名:

Research notes in mathematics ; 432 <BA41222266>

著者名:

ISBN:

9781584882831 [1584882832]

書誌ID:

BA57367326

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Boundary value problems; Functional analysis

言語:

英語

目次情報:

Introduction

Preliminaries / 1：

Function and distribution spaces / 1.1：

Monotone operators, convex functions, and subdifferentials / 1.2：

Some elements of spectral theory / 1.3：

Linear evolution equations and semigroups / 1.4：

Nonlinear evolution equations / 1.5：

Elliptic boundary value problems / 2：

Nondegenerate elliptic boundary value problems / 2.1：

Degenerate elliptic boundary value problems / 2.2：

Parabolic problems with algebraic boundary conditions / 3：

Homogeneous boundary conditions / 3.1：

Nonhomogeneous boundary conditions / 3.2：

Higher regularity of solutions / 3.3：

Parabolic problems with algebraic-differential boundary conditions / 4：

Homogeneous algebraic boundary conditions / 4.1：

Nonhomogeneous algebraic boundary condition / 4.2：

Hyperbolic problems with algebraic boundary conditions / 4.3：

Existence, uniqueness, and long-time behavior of solutions / 5.1：

Hyperbolic problems with algebraic-differential boundary conditions / 5.2：

The Fourier method for abstract differential equations / 6.1：

First order linear equations / 7.1：

Semilinear first order equations / 7.2：

Second order linear equations / 7.3：

Semilinear second order equations / 7.4：

The semigroup approach for abstract differential equations / 8：

Hyperbolic partial differential systems with nonlinear boundary conditions / 8.1：

Nonlinear nonautonomous abstract differential equations / 9：

First order differential and functional equations containing subdifferentials / 9.1：

An application / 9.2：

Implicit nonlinear differential equations / 10：

Existence of solution / 10.1：

Uniqueness of solution / 10.2：

Continuous dependence of solution / 10.3：

Existence of periodic solutions / 10.4：

Index

Introduction

Preliminaries / 1：

Function and distribution spaces / 1.1：

Monotone operators, convex functions, and subdifferentials / 1.2：

Some elements of spectral theory / 1.3：

Linear evolution equations and semigroups / 1.4：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Functional analytic methods for partial differential equations 田辺, 広城(1932-) Marcel Dekker	7 図書 Theory of functionals and of integral and integro-differential equations : [Unabridged republication of the first English translation] Volterra, Vito, 1860-1940 Dover Publications
2 図書 Functional analysis and boundary-value problems : an introductory treatment (: us ; : uk) Reddy, B. Dayanand, 1953- Longman Scientific & Technical, John Wiley & Sons, Inc.	8 図書 Linear partial differential equations Trèves, François, 1930- Gordon and Breach
3 図書 Some applications of functional analysis in mathematical physics Sobolev, S. L. (Sergeĭ Lʹvovich), 1908- American Mathematical Society	9 図書 Diffusion processes and partial differential equations 平良, 和昭 Academic Press
4 図書 Theory of functionals and of integral and integro-differential equations Volterra, Vito, 1860-1940, Fantappiè, Luigi, Long, M. Blackie	10 図書 Coincidence degree and nonlinear differential equations (: Berlin ; : New York) Gaines, Robert E. 1941-, Mawhin, Jean, 1942- Springer-Verlag
5 図書 Thirteen papers on functional analysis and differential equations Arnolʹd, Vladimir Igorevich, 1937- American Mathematical Society	11 図書 Methods in classical and functional analysis Hille, Einar, 1894-1980 Addison-Wesley Pub. Co
6 図書 Partial differential equations and functional analysis : in memory of Pierre Grisvard (: us ; : sz) Céa, Jean, 1932- Birkhäuser	12 図書 Degenerate stochastic differential equations and hypoellipticity Bell, Denis Longman