Nonlinear third-order differential equations with anti-periodic boundary conditions and some optimal control problems

DOI10.1006/jmaa.1995.1171zbMath0831.34019OpenAlexW2091473278MaRDI QIDQ1895338

A. R. Aftabizadeh, Nicolae H. Pavel, Yong Kang Huang

Publication date: 16 August 1995

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1171

zbMATH Keywords

existence uniqueness Hilbert space optimal control problem anti-periodic boundary value problem third-order linear differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (13)

Anti-periodic oscillations of some second-order differential equations and optimal control problems ⋮ Existence result for impulsive third order periodic boundary value problems ⋮ A study on quasi-periodic boundary value problems for nonlinear higher order impulsive differential equations ⋮ Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations ⋮ Order reduction for periodic boundary value problems of discontinuous third-order differential equations ⋮ Existence of solutions to anti-periodic boundary value problem for nonlinear fractional differential equations ⋮ The existence of \(T\)-anti-periodic solutions ⋮ An anti-periodic LaSalle oscillation theorem ⋮ A new existence result for nonlinear first-order anti-periodic boundary value problems ⋮ A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order ODEs ⋮ Existence of solutions for anti-periodic boundary value problems ⋮ Fixed point theorems in complete modular metric spaces and an application to anti-periodic boundary value problems ⋮ MATHEMATICAL ANALYSIS OF COUPLED SYSTEMS WITH FRACTIONAL ORDER BOUNDARY CONDITIONS

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