Existence of solutions to an initial value problem for the differential equation \(f(t,x,x^{\prime})=0\) using barrier strips

DOI10.1016/j.na.2006.07.032zbMath1125.34300OpenAlexW2019407936WikidataQ115343259 ScholiaQ115343259MaRDI QIDQ885322

Donal O'Regan, J. Seman, Petio S. Kelevedjiev

Publication date: 8 June 2007

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.2006.07.032

zbMATH Keywords

existenceglobal solutioninitial value problemsimplicit equations

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 (1)

Barrier strips and positive solutions of first order singular and regular 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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