Existence of solutions to initial value problems for first-order differential equations

DOI10.1016/j.na.2004.02.017zbMath1058.34001OpenAlexW2028267705MaRDI QIDQ1881330

J. Seman, Petio S. Kelevedjiev

Publication date: 4 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.02.017

zbMATH Keywords

existencepositive solutionsinitial value problemdiscontinuity

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (4)

Barrier strips and positive solutions of first order singular and regular initial value problems ⋮ Existence of solutions to an initial value problem for the differential equation \(f(t,x,x^{\prime})=0\) using barrier strips ⋮ Existence of solutions to a singular initial value problem ⋮ On the solvability of a singular initial value problem \(x^{\prime}=f(t,x,x^{\prime})\) using barrier strips

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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 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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