Bounded and almost periodic solutions of nonlinear operator differential equations
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書誌事項
Bounded and almost periodic solutions of nonlinear operator differential equations
（Mathematics and its applications, . Soviet series ; v. 55）
Kluwer Academic Publishers, c1990
- タイトル別名
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Orgranichennye i pochti periodicheskie reshenii︠a︡ nelineĭnykh different︠s︡ialʹno-operatornykh uravneniĭ
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注記
Expanded and revised translation of: Ogranichennye i pochti periodicheskie reshenii︠a︡ nelineĭnykh different︠s︡ialʹno-operatornykh uravneniĭ
Includes bibliographical references and index
内容説明・目次
目次
1. Almost periodic functions.- 1. Almost periodic functions and Bohr compactilication.- 2. Besicovitch almost periodic functions and harmonic analysis.- 3. Structure of Bohr compactifications and spaces of almost periodic functions.- 4. Stepanov almost periodic functions.- 5. Weakly almost periodic functions.- 6. Spaces of smooth almost periodic functions on Rn.- Comments.- 2. Preliminaries.- 1. Some integral inequalities.- 2. Composition operators.- Comments.- 3. Solutions of evolution variational inequalities bounded and almost periodic in time.- 1. On variational inequalities.- 2. Bounded solutions.- 3. Regularity and almost periodicity of bounded solutions.- 4. The use of compactness.- 5. Almost periodicity in the sense of Besicovitch.- 6. Singular perturbation.- 7. Some examples and additional results.- Comments.- 4. Bounded and almost periodic solutions of certain evolution equations.- 1. Abstract evolution equations.- 2. Applications.- 3. Additional results.- Comments.- 5. Problems that are almost periodic in space variables.- 1. Nonlinear elliptic equations.- 2. Almost periodic first order systems.- 3. Symmetric hyperbolic systems with monotone nonlinearity.- 4. A nonlinear Schrodinger-type equation.- Comments.- Appendix 1. On certain linear evolution equations.- Appendix 2. On certain wave equations.- Appendix 3. Open questions.- References.
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