An Extension of the Nagumo Uniqueness Theorem

DOI10.2307/2036312zbMath0211.39604OpenAlexW4239027430MaRDI QIDQ5612656

Frederic T. Metcalf, John M. Bownds

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2036312

Mathematics Subject Classification ID

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

Related Items (4)

A Generalization of the Nagumo Uniqueness Criterion ⋮ A Uniqueness Criterion for Ordinary Differential Equations in Banach Spaces ⋮ Note on the best possible Nagumo uniqueness teorem for the characteristic boundary value problem for \(u_{xy} = f(x,y,u)\) ⋮ General uniqueness criteria for ordinary differential equations

Cites Work

• On existence, uniqueness, and numerical evaluation of solutions of ordinary and hyperbolic differential equations
• A uniqueness theorem for \(y' = f(x,y)\) using a certain factorization of \(f\)
• On Uniqueness Theorems for Ordinary Differential Equations and for Partial Differential Equations of Hyperbolic Type
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory

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