On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations

DOI10.2307/1995438zbMath0222.34017OpenAlexW4237250835MaRDI QIDQ5627058

Philip Hartman

Publication date: 1971

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1995438

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34)

Related Items (38)

Uniqueness, existence, and optimality for fouth-order Lipschitz equations ⋮ A global uniqueness of solutions implies global existence for \((l+1)\)-point boundary value problems ⋮ Unnamed Item ⋮ Existence of solutions for right focal boundary value problems ⋮ Method for the determination of the minimax ⋮ Unnamed Item ⋮ Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations ⋮ Uniqueness of solutions of right focal point boundary value problems for ordinary differential equations ⋮ Existence and uniqueness of solutions of (\(k+2\))-point nonlocal boundary value problems for ordinary differential equations ⋮ Two-point boundary value problems for ordinary differential equations, uniqueness implies existence ⋮ Focal boundary value problems for nonlinear difference equations. II ⋮ Solution matching for a second order boundary value problem on time scales ⋮ An intermediate value property: some comparison and convergence theorems in λ(n,k)- parameter families ⋮ Uniqueness of solutions for fourth-order nonlocal boundary value problems ⋮ Branching of solutions of two-parameter boundary-value problems for second order differential equations ⋮ Existence of solutions for three-point boundary value problems for second order equations ⋮ Differentiability of solutions of boundary value problems with respect to data ⋮ Uniqueness implies existence for three-point boundary value problems for dynamic equations. ⋮ Uniqueness implies existence on time scales ⋮ Boundary value problems for higher order differential equations ⋮ Uniqueness and existence for bounded boundary value problems ⋮ On the continuous dependence of solutions of boundary value problems for ordinary differential equations ⋮ Existence-uniqueness for ordinary differential equations ⋮ Existence and uniqueness of solutions of boundary value problems for Lipschitz equations ⋮ Uniqueness implies existence and uniqueness conditions for a class of (k + j )-point boundary value problems for n th order differential equations ⋮ Unnamed Item ⋮ Existence and uniqueness of solutions of boundary value problems for third order differential equations ⋮ Uniqueness implies existence of solutions for nonlinear focal-like boundary value problems ⋮ Existence of solutions for third-order boundary value problems on a time scale ⋮ Boundary value problems for second order, ordinary differential equations involving a parameter ⋮ Existence of solutions of right focal point boundary value problems for ordinary differential equations ⋮ Existence and uniqueness of solutions of k-point boundary value problems for ordinary differential equations ⋮ Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations ⋮ Uniqueness and existence for \(n\)th-order right focal boundary value problems ⋮ A Compactness Condition for Solutions of Ordinary Differential Equations ⋮ An Existence Theorem for Boundary Value Problems of Nonlinear Ordinary Differential Equations ⋮ Uniqueness and existence for perturbed focal boundary value problems ⋮ Uniqueness implies existence for three-point boundary value problems for second order differential equations

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