Positive solutions of some second-order nonlinear singular differential equations.

DOI10.1016/S0898-1221(03)00020-8zbMath1048.34052OpenAlexW2038260723MaRDI QIDQ1416419

Guang Chong Yang

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)00020-8

zbMATH Keywords

positive solutionsingular problemshigher-order singularitiesdiagonal sequence

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

Second-order initial value problems with singularities ⋮ Multiple positive solutions via index theory for singular boundary value problems with derivative dependence ⋮ Positive solutions of singular Dirichlet boundary value problems with sign-changing nonlinearities ⋮ Nonexistence and existence of positive solutions for second order singular three-point boundary value problems with derivative dependent and sign-changing nonlinearities ⋮ A note on \(f'+ff+\lambda(1-{f'}^2)=0\) with \(\lambda\in(-\frac{1}{2},0)\) arising in boundary layer theory.

Cites Work

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• Second-order boundary value problems of singular type
• Second-order initial value problems of singular type
• On a singular boundary value problem for a second order ordinary differential equation
• Minimal positive solutions to some singular second-order differential equations
• Singular boundary value problems for superlinear second order ordinary and delay differential equations
• Twin solutions to singular Dirichlet problems
• Nonnegative solutions to some singular second-order boundary value problems
• On the existence of positive solutions for a class of singular boundary value problems

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