Existence and uniqueness of solutions to two point boundary value problems for ordinary differential equations

DOI10.1007/BF00916644zbMath0862.34017MaRDI QIDQ2564739

Huaizhong Wang, Yong Li

Publication date: 15 January 1997

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessboundary value problemnonresonance conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Control problems involving ordinary differential equations (34H05)

Related Items (9)

Lyapunov-type inequalities and solvability of second-order ODEs across multi-resonance ⋮ An optimal class of non-degenerate potentials for second-order ordinary differential equations ⋮ Analytical solution to the nonlinear singular boundary value problem arising in biology ⋮ Sturm-Liouville problem for second order ordinary differential equations across resonance ⋮ Optimal control approach to stability criteria on Hill's equations ⋮ An extension of a theorem by A. Constantin on a two-point boundary value problem ⋮ Two-point boundary value problems for Duffing equations across resonance ⋮ Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls ⋮ Regions of existence for a class of nonlinear diffusion type problems

Cites Work

• 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
• Existence and uniqueness of solutions of boundary value problems for Lipschitz equations
• Optimality for boundary value problems for Lipschitz equations
• On certain boundary value problems for second-order linear ordinary differential equations with singularities
• On a nonlinear two-point boundary value problem
• 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
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