On equivalent conditions for the solvability of the equation \((p(t)x')'+f(t,x)=h(t)\) satisfying linear boundary conditions with \(f\) restricted by linear growth conditions

DOI10.1006/jmaa.2000.6752zbMath0985.34013OpenAlexW1968094197MaRDI QIDQ1977784

Yujun Dong

Publication date: 8 May 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6752

zbMATH Keywords

existence of solutionsnonlinear boundary value problemsCarathéodory functiongeneralized resonance point

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential operators (34L30) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Cites Work

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• Periodic solutions of asymptotically positively homogeneous differential equations
• Periodic solutions of second order differential equations with superlinear asymmetric nonlinearities
• Existence of periodic solutions of Duffing equations
• Two point boundary value problems for second order ordinary differential equations across many resonant points
• An application of Schauder's fixed point theorem to the existence of solutions of impulsive differential equations
• On a nonlinear two-point boundary value problem
• A continuation approach to superlinear periodic boundary value problems
• Nonresonance and existence for nonlinear elliptic boundary value problems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations