Some remarks on Nagumo’s theorem

DOI10.1007/s10587-012-0008-7zbMath1249.34021OpenAlexW2035962113MaRDI QIDQ2897358

Thomas Mejstrik

Publication date: 10 July 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/246686

zbMATH Keywords

ordinary differential equationPicard successive approximationsNagumo's uniqueness theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (9)

Nagumo-type uniqueness and stability for nonlinear differential equations on semi-infinite intervals ⋮ On a class of Ito stochastic differential equations ⋮ Existence and uniqueness theorems for the Pfaff equation with continuous coefficients ⋮ On the Nagumo uniqueness theorem ⋮ A Nagumo-like uniqueness result for a second order ODE ⋮ Successive approximations for a differential equation in a Banach space via Constantin condition ⋮ An existence theorem and an approximate solution method for a Pfaff equation with continuous coefficients ⋮ A uniqueness criterion for ordinary differential equations ⋮ A generalization of Montel-Tonelli's uniqueness theorem

Cites Work

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• On Nagumo's theorem
• A retarded Gronwall-like inequality and its applications
• Uniqueness and well-posedness results for first order initial and boundary value problems

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