Existence-uniqueness for ordinary differential equations

DOI10.1016/0022-247X(78)90029-XzbMath0386.34022MaRDI QIDQ1249684

Allan C. Peterson

Publication date: 1978

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

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Disconjugacy, disfocality, and differentiation with respect to boundary conditions ⋮ Uniqueness, existence, and optimality for fouth-order Lipschitz equations ⋮ Differentiation of solutions of boundary value problems with respect to boundary conditions ⋮ Boundary data smoothness for solutions of nonlocal boundary value problems for second order differential equations ⋮ Differentiability of solutions of boundary value problems with respect to data ⋮ Uniqueness and existence for bounded boundary value problems ⋮ Solutions of the variational equation for an \(n\)-th order boundary value problem with an integral boundary condition ⋮ Unnamed Item ⋮ Uniqueness implies existence of solutions for nonlinear focal-like boundary value problems ⋮ Uniqueness and existence for \(n\)th-order right focal boundary value problems ⋮ Right focal point boundary value problems for ordinary differential equations and variational equations ⋮ Differentiation of solutions of Lidstone boundary value problems with respect to the boundary data ⋮ Uniqueness and existence for perturbed focal boundary value problems

Cites Work

• Existence theorems for boundary value problems of \(n\)-th order ordinary ifferential equations
• On the existence of solutions to multipoint boundary value problems
• Comparison theorems and existence theorems for ordinary differential equations
• Properties of solutions of Nth order linear differential equations
• On the First Conjugate Point Function for Nonlinear Differential Equations
• Relations Between Boundary Value Functions for a Nonlinear Differential Equation and its Variational Equations^*
• A Compactness Condition for Solutions of Ordinary Differential Equations
• An Expression for the First Conjugate Point for an nth Order Nonlinear Differential Equation
• Principal Solutions of Disconjugate n-th Order Linear Differential Equations
• On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations
• On a Relation Between a Theorem of Hartman and a Theorem of Sherman
• Ordinary Differential Equations
• Existence and uniqueness of solutions of boundary value problems for third order differential equations

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