Multiple positive solutions for singular \(n\)th-order nonlocal boundary value problems in Banach spaces

DOI10.1016/j.camwa.2011.02.017zbMath1219.34079OpenAlexW2057349228MaRDI QIDQ636577

Xinan Hao, Naiwei Xu, Yong-Hong Wu, Li Shan Liu

Publication date: 28 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.017

zbMATH Keywords

conemeasure of noncompactnesspositive solutionnonlocal conditionsfixed point index for strict set contractionsingular \(n\)th-order BVP

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) 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 (13)

A class of nonlocal indefinite differential systems ⋮ Iterative solution to singular \(n\)th-order nonlocal boundary value problems ⋮ Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions ⋮ Positive radial solutions of \(n\)-dimensional elliptic systems with indefinite weight functions and \(n\) parameters ⋮ Eigenvalues of a class of singular boundary value problems of impulsive differential equations in Banach spaces ⋮ Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces ⋮ Multiple monotone positive solutions for higher order differential equations with integral boundary conditions ⋮ Existence results for singular boundary value problems on unbounded domains in Banach spaces ⋮ Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method ⋮ General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions ⋮ Existence and nonexistence of positive solutions for nonlinear higher order BVP with fractional integral boundary conditions in Banach spaces ⋮ Positive solutions of higher order fractional integral boundary value problem with a parameter ⋮ Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator

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