Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces

DOI10.1016/j.amc.2009.04.021zbMath1184.34067OpenAlexW1988295112MaRDI QIDQ833157

Yumei Xu, Hai-Jun Zhang

Publication date: 12 August 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.021

zbMATH Keywords

multiple solutionsfixed point indexcompletely continuous operatormeasure of non-compactness\(2n\)th-order boundary value problem

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) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Differential Harnack estimates for a semilinear parabolic system ⋮ Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces ⋮ A new approach to the existence of quasiperiodic solutions for second-order asymmetric \(p\)-Laplacian differential equations

Cites Work

• A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems
• A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems
• Multiple sign-changing solutions for fourth order \(m\)-point boundary value problems
• Existence and uniqueness theorems for fourth-order boundary value problems
• Solvability of some fourth (and higher) order singular boundary value problems
• Existence of solutions for \(2n\)th-order boundary value problem.
• Existence of multiple symmetric positive solutions of higher order Lidstone problems.
• Twin positive solutions for higher order m-point boundary value problems with sign changing nonlinearities.
• Three positive solutions for higher order \(m\)-point boundary value problems.
• Positive solutions for singular \(m\)-point boundary value problems with positive parameter.
• Multiple positive solutions for \(n\)th-order impulsive integro-differential equations in Banach spaces
• Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces
• Existence of positive solutions for 2\(n\)th-order singular sublinear boundary value problems
• The method of lower and upper solutions for fourth order singular \(m\)-point boundary value problems
• Existence of solutions of nonlinear \(m\)-point boundary-value problems
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