Existence of solutions to \(u^{\prime\prime}+u+g(t,u,u')=p(t), u(0)=u(\pi)=0\)

DOI10.1006/JMAA.2001.7634zbMath0998.34014OpenAlexW2008753712MaRDI QIDQ5955051

Rangachary Kannan, Seppo Seikkala

Publication date: 25 November 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7634

zbMATH Keywords

existencemultiple solutionsboundary value problem resonance

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Growth and boundedness of solutions to ordinary differential equations (34C11) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (3)

Resonant semilinear problems with nonlinear term depending on the derivative ⋮ Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence ⋮ Multiple positive solutions via index theory for singular boundary value problems with derivative dependence

Cites Work

• Unnamed Item
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• An asymptotic result in forced oscillations of pendulum-type equations
• Remarks on the existence of solutions of x″ + x + arctan(x′) = p(t); x(0) = x(π) = 0
• A Two-Point Problem with Nonlinearity Depending Only on the Derivative
• On Semilinear Problems with Nonlinearities Depending Only on Derivatives

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