A class of evolution equations: Existence of solutions with functional boundary conditions

DOI10.1007/BF02675008zbMath0942.34052MaRDI QIDQ1966208

Vladimir V. Goncharov, Sergey A. Timoshin

Publication date: 21 August 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

evolution equationexistence of solutionsnonlinear boundary value problemphase restriction

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Ordinary differential equations in Banach spaces
• Integrals, conditional expectations, and martingales of multivalued functions
• Periodic solutions of differential equations in Banach spaces
• Global existence of mild solutions to semilinear differential equations in Banach spaces
• Extensions and selections of maps with decomposable values
• Periodic solutions of semilinear evolution equations

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