Periodic solutions of time-dependent, semilinear evolution equations of compact type

DOI10.1017/S0308210500015766zbMath0565.34053MaRDI QIDQ3679541

Herbert C. Sager

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schauder's fixed point theoremHilbert spaceexampleparabolic operator

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Periodic solutions to PDEs (35B10) Nonlinear differential equations in abstract spaces (34G20)

Related Items (2)

An evolution equation perturbed by an unbounded semilinear operator and a boundary condition ⋮ Semilinear second order evolution equations of compact type with regular boundary conditions

Cites Work

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• Hilbert space methods for nonlinear elliptic equations
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Linear problems for systems of nonlinear differential equations
• Linear eigenvalues and a nonlinear boundary value problem
• Periodic solutions of semilinear evolution equations
• Nonresonance and existence for nonlinear elliptic boundary value problems
• Nonlinear problems for systems of differential equations
• Boundary value problems for abstract evolution equations

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