Optimality for boundary value problems for Lipschitz equations

DOI10.1016/0022-0396(89)90151-4zbMath0684.34024OpenAlexW2043337578MaRDI QIDQ1825340

Johnny Henderson, Darrel Hankerson

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90151-4

zbMATH Keywords

Lipschitz coefficientsoptimal length of subintervals

Mathematics Subject Classification ID

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

Related Items (12)

Second boundary value problems for nonlinear ordinary differential equations across resonance ⋮ Neumann problems for second order ordinary differential equations across resonance ⋮ Existence of solutions for right focal boundary value problems ⋮ Periodic solutions for Duffing equations ⋮ Solvability of nth-order Lipschitz equations with nonlinear three-point boundary conditions ⋮ Existence and uniqueness of solutions for \(n\)th-order nonlinear two-point boundary value problems ⋮ Eigenvalue comparisons for second order difference equations with periodic and antiperiodic boundary conditions ⋮ Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations ⋮ Optimal interval lengths for nonlocal boundary value problems associated with third order Lipschitz equations ⋮ Two-point boundary value problems for Duffing equations across resonance ⋮ Finding the periodic solution of differential equation via solving optimization problem ⋮ Existence and uniqueness of solutions to two point boundary value problems for ordinary differential equations

Cites Work

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• Uniqueness, existence, and optimality for fouth-order Lipschitz equations
• Boundary value problems for \(n\)th order Lipschitz equations
• Uniqueness criteria for second order nonlinear boundary value problems
• Uniqueness of linear boundary value problems for differential systems
• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• Existence and uniqueness of solutions of boundary value problems for Lipschitz equations
• Disconjugate properties of a system of differential equations
• Uniqueness for nth order de la vallee poussin boundary value problems
• Best Interval Lengths for Boundary Value Problems for Third Order Lipschitz Equations
• On the Interval of Disconjugacy of Linear Autonomous Differential Equations
• On Invertibility of Linear Ordinary Differential Boundary Value Problems

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