A Two-Point Problem with Nonlinearity Depending Only on the Derivative

DOI10.1137/S003614109529570XzbMath0886.34015OpenAlexW2071750351MaRDI QIDQ4377459

Patrick Habets, Luís Sanchez

Publication date: 9 February 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614109529570x

zbMATH Keywords

multiple solutionsresonancebounded nonlinearity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (12)

Resonant semilinear problems with nonlinear term depending on the derivative ⋮ Invariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivatives ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ Semilinear problems at resonance with nonlinearities depending only on the derivative ⋮ Necessary and sufficient condition for the existence of solutions to a discrete second-order boundary value problem ⋮ Existence and multiplicity of solutions for certain Dirichlet problems with nonlinearity depending on the derivative. ⋮ Remarks on the range properties of certain semilinear problems of Landesman-Lazer type ⋮ Existence of solutions to \(u^{\prime\prime}+u+g(t,u,u')=p(t), u(0)=u(\pi)=0\) ⋮ Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order ⋮ Dirichlet problem with nonlinearity depending only on the derivative ⋮ Existence of periodic solutions in nonlinear asymmetric oscillations ⋮ Existence of periodic solutions of planar systems

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