A two-point boundary value problem of Dirichlet type with resonance at infinitely many eigenvalues

DOI10.1016/0022-247X(90)90320-FzbMath0702.34021OpenAlexW2171173560MaRDI QIDQ914920

Chaitan P. Gupta

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)90320-f

zbMATH Keywords

Leray-Schauder continuation theoremCarathéodory's conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

A Liapunov-type result with application to a Dirichlet-type two-point boundary value problem at resonance ⋮ Periodic problems with double resonance

Cites Work

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• Asymptotic conditions at the two first eigenvalues for the periodic solutions of Liénard differential equations and an inequality of E. Schmidt
• Unbounded perturbations of forced second order ordinary differential equations at resonance
• Solvability of a boundary value problem with the nonlinearity satisfying a sign condition
• Nonlinear Two Point Boundary Value Problems at Resonance Without Landesman-Lazer Condition
• Necessary and Sufficient Conditions for the Solvability of a Nonlinear Two-Point Boundary Value Problem
• Periodic solutions for coupled first order nonlinear differential systems of Hamiltonian type

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