Perturbation at resonance for a fourth order ordinary differential equation

DOI10.1016/0022-247X(78)90197-XzbMath0406.34026OpenAlexW2005291199WikidataQ115364627 ScholiaQ115364627MaRDI QIDQ1257588

Jerry D. Schuur

Publication date: 1978

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(78)90197-x

zbMATH Keywords

Banach SpaceHomotopy InvarianceBoundary Value ProblemPeriodic SolutionSingular PerturbationBorsuk's TheoremDegree Theory

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Singular perturbations for ordinary differential equations (34E15)

Related Items

Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance, Periodic solutions of Lienard type second order ordinary differential equations, Unnamed Item, The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance, An abstract existence theorem at resonance and its applications, Semilinear equations at resonance with the kernel of arbitrary dimension

Cites Work

• Ranges of nonlinear asymptotically linear operators
• On Schauder's fixed point theorem and forced second-order nonlinear oscillations
• Functional analysis and Galerkin's method
• Bounded perturbations of forced harmonic oscillators at resonance
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