Existence Results for Some Initial and Boundary Value Problems Without Growth Restriction

DOI10.2307/2160628zbMath0817.34014OpenAlexW4236860078MaRDI QIDQ4318392

Marlène Frigon, Donal O'Regan

Publication date: 2 January 1995

Full work available at URL: https://doi.org/10.2307/2160628

zbMATH Keywords

existenceSchauder fixed point theoreminitial and boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (17)

First order differential systems with a nonlinear boundary condition via the method of solution-regions ⋮ Existence of solutions to initial value problems for first-order differential equations ⋮ Barrier strips and positive solutions of first order singular and regular initial value problems ⋮ Existence and multiplicity results for systems of first-order differential equations via the method of solution-regions ⋮ Systems of first order differential inclusions with maximal monotone terms ⋮ Existence of solutions to an initial value problem for the differential equation \(f(t,x,x^{\prime})=0\) using barrier strips ⋮ Existence of infinitely many solutions for second-order singular initial value problems with an application to nonlinear massive gravity ⋮ Second order problems with functional conditions including Sturm-Liouville and multipoint conditions ⋮ Unnamed Item ⋮ A constructive approach towards the method of solution-regions ⋮ Multiple solutions of problems with nonlinear first-order differential operators ⋮ Existence of solutions to a singular initial value problem ⋮ Singular and nonsingular first-order initial value problems ⋮ On the solvability of a singular initial value problem \(x^{\prime}=f(t,x,x^{\prime})\) using barrier strips ⋮ First-order singular and discontinuous differential equations ⋮ Existence and uniqueness results for ordinary differential equations ⋮ Positive solutions to singular initial value problems with sign changing nonlinearities.

Cites Work

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• Ordinary differential equations in \(R^ n\). Problems and methods. Transl. from the Italian by A. LoBello
• A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations
• Existence theorems for the Dirichlet problem without growth restrictions
• Some general existence principles for ordinary differential equations
• The monotone method for first-order problems with linear and nonlinear boundary conditions
• Existence Results for Some Initial- and Boundary-Value Problems

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