On positive solutions of an \(m\)-point nonhomogeneous singular boundary value problem

DOI10.1016/j.na.2010.06.028zbMath1202.34056OpenAlexW2069706663MaRDI QIDQ988144

Xinan Hao, Yong-Hong Wu, Li Shan Liu

Publication date: 26 August 2010

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.2010.06.028

zbMATH Keywords

fixed pointpositive solutiontopological degreeupper-lower solutionsnonhomogeneous singular BVP

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (14)

A class of nonlocal indefinite differential systems ⋮ The convergence analysis and error estimation for unique solution of a \(p\)-Laplacian fractional differential equation with singular decreasing nonlinearity ⋮ Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions ⋮ Global structure of positive solutions for some second-order multipoint boundary value problems ⋮ On positive solutions for nonhomogeneous \(m\)-point boundary value problems with two parameters ⋮ The existence of solutions to second-order singular boundary value problems ⋮ Multi-parameter second-order impulsive indefinite boundary value problems ⋮ Positive solutions to one-dimensional quasilinear impulsive indefinite boundary value problems ⋮ Multiple monotone positive solutions for higher order differential equations with integral boundary conditions ⋮ A note on the fractional generalized higher order KdV equation ⋮ Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function ⋮ Existence and uniqueness of solution to nonlinear boundary value problems with sign-changing Green's function ⋮ Existence of solutions to derivative-dependent, nonlinear singular boundary value problems ⋮ Positive solutions to second-order singular nonlocal problems: existence and sharp conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions for some second-order four-point boundary value problems
• Existence of positive solutions to \(n\)-point nonhomogeneous boundary value problem
• Second-order boundary value problems with nonhomogeneous boundary conditions. II
• Positive solutions for higher order multi-point boundary value problems with nonhomogeneous boundary conditions
• Positive solutions for third-order three-point nonhomogeneous boundary value problems
• Higher order boundary value problems with nonhomogeneous boundary conditions
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Positive solutions for nonhomogeneous \(m\)-point boundary value problems
• Local superlinearity for elliptic systems involving parameters
• The shooting method and nonhomogeneous multipoint BVPs of second-order ODE
• Positive solutions for an \(n\)-point nonhomogeneous boundary value problem
• Non-local boundary value problems of arbitrary order
• Positive solutions for second-order three-point boundary value problems
• Positive solutions of a nonlinear \(m\)-point boundary value problem

This page was built for publication: On positive solutions of an \(m\)-point nonhomogeneous singular boundary value problem