An evolution equation perturbed by an unbounded semilinear operator and a boundary condition

DOI10.1016/0362-546X(84)90117-2zbMath0557.47036OpenAlexW2046826330MaRDI QIDQ3222751

Herbert C. Sager

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90117-2

zbMATH Keywords

Schauder's fixed point theoremlinearizationinitial value problemSturm-Liouville equationcompact operatorsasymptotically sublinear growthanalytic and compact semigroupstime dependent evolution operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Ordinary differential operators (34L99)

Related Items (2)

Convergence of difference schemes for solving nonlinear parabolic equations ⋮ Solving Becker's problem on periodic solutions of parabolic evolution equations

Cites Work

• Boundary value problems for differential equations in Banach space
• Periodic solutions of semilinear equations of evolution of compact type
• A class of semi-linear equations of evolution
• Periodic solutions of time-dependent, semilinear evolution equations of compact type
• Periodic solutions of semilinear evolution equations
• Boundary value problems for abstract evolution equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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