Remarks on the existence of solutions of x″ + x + arctan(x′) = p(t); x(0) = x(π) = 0

DOI10.1016/0362-546X(94)90227-5zbMath0802.34021OpenAlexW2054393821MaRDI QIDQ4291851

Rangachary Kannan, Kenneth L. Pothoven, R. Kent Nagle

Publication date: 13 December 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90227-5

zbMATH Keywords

contraction mapping principleexistenceuniquenessboundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (7)

Resonant semilinear problems with nonlinear term depending on the derivative ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ 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 \(u^{\prime\prime}+u+g(t,u,u')=p(t), u(0)=u(\pi)=0\) ⋮ Dirichlet problem with nonlinearity depending only on the derivative

Cites Work

• [https://portal.mardi4nfdi.de/wiki/Publication:3710824 Existence of Solutions of x � � + x + g(x) = p(t), x(0) = 0 = x(π)]
• Nonlinear Boundary Value Problems for Ordinary Differential Equations with a Small Parameter
• Unnamed Item

This page was built for publication: Remarks on the existence of solutions of x″ + x + arctan(x′) = p(t); x(0) = x(π) = 0