Nonlinear differential equations in abstract spaces
著者
書誌事項
Nonlinear differential equations in abstract spaces
（International series in nonlinear mathematics, v. 2）
Pergamon Press, 1981
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注記
Bibliography: p. 244-255
Includes index
内容説明・目次
内容説明
Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations
目次
Preface Directional derivatives Mean value theorems The Cauchy problem Successive approximations Types of approximate solutions Dissipative type conditions Dissipative operators The exponential formula Difference approximations Convergence of difference approximations Global existence Fundamental properties Differential inequalities in cones Existence of solutions in weak topology Equations with delay Boundary value problems Monotone iterative methods
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