Second-order initial value problems of singular type

DOI10.1006/JMAA.1998.6169zbMath0920.34003OpenAlexW2091835273MaRDI QIDQ1279943

Donal O'Regan, Ravi P. Agarwal

Publication date: 17 February 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6169

zbMATH Keywords

positive solutionssecond-order initial value problemsingular type

Mathematics Subject Classification ID

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

Related Items (9)

Existence of positive solution to a singular second-order initial value problem with impulses ⋮ Existence of infinitely many solutions for second-order singular initial value problems with an application to nonlinear massive gravity ⋮ Twin solutions to singular semipositone problems. ⋮ Positive solutions of some second-order nonlinear singular differential equations. ⋮ Singular Volterra integral equations ⋮ Second-order initial value problems with singularities ⋮ Existence of nondecreasing positive solutions for a system of singular integral equations ⋮ Some existence results for differential equations of second order ⋮ Minimal positive solutions to some singular second-order differential equations

Cites Work

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• 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
• Nonlinear superlinear singular and nonsingular second order boundary value problems
• Positive solutions to singular initial value problems with sign changing nonlinearities.
• On the positive solutions of y″ + ø(t) y−λ = 0

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