Higher order boundary value problems with nonhomogeneous boundary conditions

DOI10.1016/j.na.2009.06.050zbMath1191.34032OpenAlexW2032701178MaRDI QIDQ1049501

Lingju Kong, Qing Kai Kong

Publication date: 12 January 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.2009.06.050

zbMATH Keywords

lower and upper solutionspositive solutionsboundary value problemsspectral radiusfixed point index

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (15)

Iterative solution to singular \(n\)th-order nonlocal boundary value problems ⋮ Positive solutions of second-order differential systems with nonhomogeneous boundary conditions ⋮ Exact interval of parameter and two infinite families of positive solutions for a \(n\)th order impulsive singular equation ⋮ On positive solutions for nonhomogeneous \(m\)-point boundary value problems with two parameters ⋮ Positive solutions of nth-order impulsive eigenvalue problems with an advanced argument ⋮ Uniqueness and parameter dependence of positive solution of fourth-order nonhomogeneous BVPs ⋮ The existence of positive solutions for fractional differential equations with integral and disturbance parameter in boundary conditions ⋮ Solvability of third-order three-point boundary value problems ⋮ Positive solutions for singular higher-order semipositone fractional differential equations with conjugate type integral conditions ⋮ EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR nth-ORDER THREE-POINT NONHOMOGENEOUS BOUNDARY VALUE PROBLEM ⋮ On positive solutions of an \(m\)-point nonhomogeneous singular boundary value problem ⋮ Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions ⋮ The existence and nonexistence of positive solutions for fractional differential equations with nonhomogeneous boundary conditions ⋮ Positive solutions for an \(n\)th-order quasilinear boundary value problem ⋮ A class of nonlocal problems of fractional differential equations with composition of derivative and parameters

Cites Work

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• Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions
• Multiple solutions to a three-point boundary value problem for higher-order ordinary differential equations
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• POSITIVE SOLUTIONS OF HIGHER-ORDER BOUNDARY-VALUE PROBLEMS
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