Positive solutions of a second-order singular ordinary differential equation

DOI10.1016/j.na.2005.02.029zbMath1082.34019OpenAlexW2091831083WikidataQ115343327 ScholiaQ115343327MaRDI QIDQ556356

Luís Sanchez, Denis Bonheure, José Maria Gomes

Publication date: 13 June 2005

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.2005.02.029

zbMATH Keywords

variational methodssingular boundary value problemradial solution

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 (14)

On four types of solutions of a second-order difference equation ⋮ Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics ⋮ Eigenvalue problem for a system of singular ODEs with a perturbed \(q\)-Laplace operator ⋮ Superlinear singular problems on the half line ⋮ On the existence of bounded positive solutions for a class of singular BVPs ⋮ Terminal value problem for singular ordinary differential equations: theoretical analysis and numerical simulations of ground states ⋮ Positive solutions to a singular differential equation of second order ⋮ Solving a singular system of two nonlinear ODEs ⋮ TWO POSITIVE SOLUTIONS OF SOME SINGULAR BOUNDARY VALUE PROBLEMS ⋮ Oscillatory solutions of singular equations arising in hydrodynamics ⋮ Bubble-type solutions of nonlinear singular problems ⋮ Homoclinic solutions of singular nonautonomous second-order differential equations ⋮ Fixed point and variational methods for certain classes of boundary-value problems ⋮ Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
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• The existence of a non-negative solution of an ordinary differential equation arising in electromagnetic theory
• On the existence of positive solutions of a singular nonlinear eigenvalue problem
• Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball

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