Uniqueness for ordinary differential equations

DOI10.1007/BF01715361zbMath0329.34003MaRDI QIDQ4095198

Rodney D. Driver, Vangipuram Lakshmikantham, Stephen R. Bernfeld

Publication date: 1976

Published in: Mathematical Systems Theory (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)

Related Items (10)

A Generalization of the Nagumo Uniqueness Criterion ⋮ Uniqueness results for some nonlinear initial and boundary value problems ⋮ Uniqueness for a class of nonlinear initial value problems ⋮ Repelling conditions for boundary sets using Liapunov-like functions. I: Flow-invariance, terminal value problem and weak persistence ⋮ Existence and uniqueness of positive solutions to sublinear-linear initial value problems ⋮ A Uniqueness Criterion for Ordinary Differential Equations in Banach Spaces ⋮ Unique Solvability of a System of Ordinary Differential Equations Modeling a Warm Cloud Parcel ⋮ Nonuniqueness criteria for ordinary differential equations ⋮ Transition layers in singular perturbation problems ⋮ General uniqueness criteria for ordinary differential equations

Cites Work

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• Uniqueness theorems for ordinary and hyperbolic differential equations
• Uniqueness, continuation, and nonoscillation for a second order nonlinear differential equation
• A uniqueness theorem for \(y' = f(x,y)\) using a certain factorization of \(f\)
• A One-Dimensional Two-Body Problem of Classical Electrodynamics
• Existence and Uniqueness of Solutions of Ordinary Differential Equations
• On Restricted Uniqueness for Systems of Ordinary Differential Equations
• On Nagumo's Condition

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