Uniqueness for a class of nonlinear initial value problems

DOI10.1016/0022-247X(88)90322-8zbMath0653.34007MaRDI QIDQ1107687

Hans G. Kaper, Man Kam Kwong

Publication date: 1988

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

zbMATH Keywords

nonnegative solutionsfirst order differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

Related Items (10)

On the uniqueness of flow in a recent tsunami model ⋮ Uniqueness results for some nonlinear initial and boundary value problems ⋮ A Picard method without Lipschitz continuity for some ordinary differential equations ⋮ Existence and uniqueness of positive solutions to sublinear-linear initial value problems ⋮ Existence of non-trivial limit cycles in Abel equations with symmetries ⋮ Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball ⋮ On the Nagumo uniqueness theorem ⋮ A Nagumo-like uniqueness result for a second order ODE ⋮ Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary ⋮ Unique Solvability of a System of Ordinary Differential Equations Modeling a Warm Cloud Parcel

Cites Work

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• Ordinary differential equations in \(R^ n\). Problems and methods. Transl. from the Italian by A. LoBello
• Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
• A uniqueness theorem for \(y' = f(x,y)\) using a certain factorization of \(f\)
• Uniqueness for ordinary differential equations
• On Restricted Uniqueness for Systems of Ordinary Differential Equations

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