Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence

DOI10.1007/S10883-008-9060-XzbMath1203.34036OpenAlexW2049381391MaRDI QIDQ619244

Donal O'Regan, Baoqiang Yan, Ravi P. Agarwal

Publication date: 22 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-008-9060-x

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (8)

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains ⋮ Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter ⋮ Existence for singular periodic problems: a survey of recent results ⋮ Multiplicity of solutions of Dirichlet second order boundary value problems with derivative dependance ⋮ An existence result of positive solutions for fully second-order boundary value problems ⋮ Existence and multiplicity results for nonlinear differential equations depending on a parameter in semipositone case ⋮ Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria ⋮ Semilinear elliptic systems with dependence on the gradient

Cites Work

• Multiple positive solutions to singular boundary value problems for superlinear second-order ODEs
• Planar systems with critical points: Multiple solutions of two-point nonlinear boundary value problems
• Multiple positive solutions of singular boundary value problems
• Linear half-wave rectification of modulated sinusoids
• Upper and lower solutions for a generalized Emden-Fowler equation
• A multiplicity result for a nonlinear boundary value problem
• Nonlinear superlinear singular and nonsingular second order boundary value problems
• On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
• Existence of three solutions for a two point boundary value problem
• Existence of multiple solutions for second order boundary value problems
• Existence of positive solutions to a singular second order boundary value problem
• Multiple symmetric nonnegative solutions of second-order ordinary differential equations.
• Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
• Singular boundary value problems for superlinear second order ordinary and delay differential equations
• Nonuniform nonresonance at the first eigenvalue for singular boundary value problems with sign changing nonlinearities
• Multiple positive solutions of singular boundary value problem for the one-dimensional \(p\)-Laplacian
• Nonnegative solutions of singular boundary value problems with sign changing nonlinearities
• Twin solutions to singular Dirichlet problems
• Positive solutions of singular ordinary differential equations with nonlinear boundary conditions
• Continuums of Solutions in a Fréchet Space of Abstract Volterra Equations
• Multiplicity results for some two-point superlinear asymmetric boundary value problem
• Multiple symmetric positive solutions for a second order boundary value problem
• Positive solutions of singular positone Dirichlet boundary value problems
• Existence theory for single and multiple solutions to singular positone boundary value problems
• Existence of solutions to \(u^{\prime\prime}+u+g(t,u,u')=p(t), u(0)=u(\pi)=0\)
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