On periodic boundary value problem for the equation \(u^{\prime\prime} = f(t,u,u^{\prime})\) with one-sided growth restrictions on \(f\)

DOI10.1016/S0362-546X(00)00235-2zbMath1004.34012OpenAlexW2020844425MaRDI QIDQ1348215

I. T. Kiguradze, Svatoslav Staněk

Publication date: 15 May 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00235-2

zbMATH Keywords

existenceupper and lower solutionsnonlinear differential equationperiodic boundary value problemupper and lower functionssecond-order differential inequalities

Mathematics Subject Classification ID

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

Related Items (15)

Impulsive boundary value problems with nonlinear boundary conditions ⋮ Second-order nonlinear differential equations with an infinite set of periodic solutions ⋮ Existence and uniqueness of periodic solutions for second order differential equations ⋮ The existence and multiplicity of positive solutions for second-order periodic boundary value problem ⋮ Existence of positive solutions for a kind of periodic boundary value problem at resonance ⋮ Triple positive periodic solutions of nonlinear singular second-order boundary value problems ⋮ Positive solutions of nonlinear second-order periodic boundary value problems ⋮ Some consequences of an existence result by Kiguradze and Partsvania for singular Dirichlet problems ⋮ A tribute to Ivan Kiguradze ⋮ On the solvability of the periodic problem for nonlinear second-order function-differential equations ⋮ Existence of solutions of periodic boundary value problems for impulsive functional Duffing equations at nonresonance case ⋮ Extremal solutions of measure differential equations ⋮ On a periodic problem for higher-order differential equations with a deviating argument ⋮ Periodic positive solution to a class of singular second-order ordinary differential equations ⋮ Periodic boundary value problems for second order differential equations

Cites Work

• Nonlinear boundary value problems for some classes of ordinary differential equations
• Singular boundary-value problems for ordinary second-order differential equations
• Ordinary differential equations with nonlinear boundary conditions
• An introduction to nonlinear boundary value problems
• Periodic solutions of nonlinear second order differential equations
• Boundary value problems for quasilinear second order elliptic equations
• Topological degree method in functional boundary value problems at resonance
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