Existence of solutions to a singular initial value problem

DOI10.1007/S10114-007-0931-YzbMath1135.34004OpenAlexW1968645460MaRDI QIDQ2465535

Ravi P. Agarwal, Petio S. Kelevedjiev

Publication date: 4 January 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0931-y

zbMATH Keywords

global existence of solutionsfirst order singular differential equation

Mathematics Subject Classification ID

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

Related Items (4)

Weighted Cauchy problem for differential equations with deviating arguments ⋮ Weighted Cauchy problem for nonlinear singular differential equations with deviating arguments ⋮ Barrier strips and positive solutions of first order singular and regular initial value problems ⋮ Singular and nonsingular first-order initial value problems

Cites Work

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• Ordinary differential equations in \(R^ n\). Problems and methods. Transl. from the Italian by A. LoBello
• Existence of solutions to some singular initial value problems
• A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations
• Existence results for singular initial value problems for first order differential equations
• Existence of solutions to initial value problems for first-order differential equations
• On the solvability of a singular initial value problem \(x^{\prime}=f(t,x,x^{\prime})\) using barrier strips
• Existence Results for Some Initial and Boundary Value Problems Without Growth Restriction
• A unified theory for first-order discontinuous scalar differential equations

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