Periodic solutions of semilinear hyperbolic equations at resonance

DOI10.1016/0022-247X(90)90324-9zbMath0709.35074OpenAlexW2117508023MaRDI QIDQ921263

P. S. Milojević

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90324-9

zbMATH Keywords

resonancesemilinear wave equationsnonmonotone inequalities

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Asymptotic nonuniform nonresonance conditions in the periodic-Dirichlet problem for semi-linear wave equations
• On the unique solvability of semi-linear operator equations in Hilbert spaces
• Existence results for equations involving noncompact perturbations of Fredholm mappings with applications to differential equations
• A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem
• Periodic solutions of nonlinear vibrating strings and duality principles
• Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part
• Double resonance in semilinear elliptic problems
• Topology and semilinear equations at resonance in hilbert space
• Solutions of nonlinear hyperbolic equations at resonance
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
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