Semilinear second order evolution equations of compact type with regular boundary conditions

DOI10.1016/0362-546X(85)90054-9zbMath0526.47028OpenAlexW2029558614MaRDI QIDQ3041824

Herbert C. Sager

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90054-9

zbMATH Keywords

Schauder's fixed point theoremlinearization methoddifferential equations in abstract spacesasymptotically sublinear growthnon- resonance

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) General theory of ordinary differential operators (47E05)

Cites Work

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• Fractional powers of closed operators and the semigroups generated by them
• Two point boundary value problems for nonlinear second order differential equations in Hilbert spaces
• Periodic forcing of solutions of a boundary value problem for a second- order differential equation in Hilbert space
• Periodic solutions of semilinear equations of evolution of compact type
• Strongly damped quasilinear evolution equations
• A class of semi-linear equations of evolution
• Uniqueness criteria for solutions to abstract boundary value problems
• The Cauchy problem for second order differential equations in Banach spaces
• Linear eigenvalues and a nonlinear boundary value problem
• Periodic solutions of time-dependent, semilinear evolution equations of compact type
• A Remark on Cosine Families
• Existence of solutions of Hammerstein equations of compact type
• Nonresonance and existence for nonlinear elliptic boundary value problems
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• Green’s Functions for Linear Second Order Systems
• Cosine families and abstract nonlinear second order differential equations

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