Eigenvalue for a singular third-order three-point boundary value problem

DOI10.1016/j.amc.2013.03.107zbMath1294.34018OpenAlexW2040914546MaRDI QIDQ2016293

Xingfang Feng, Donglong Bai, Han-Ying Feng

Publication date: 20 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.107

zbMATH Keywords

existenceeigenvaluepositive solutionKrasnoselskii's fixed point theoremthree-point boundary value problem

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (15)

Multiple positive solutions of third-order BVP with advanced arguments and Stieltjes integral conditions ⋮ Positive solutions of a third-order three-point BVP with sign-changing Green's function ⋮ Unnamed Item ⋮ On some properties of positive solutions for a third-order three-point boundary value problem with a parameter ⋮ Existence and uniqueness of monotone positive solutions for a third-order three-point boundary value problem ⋮ Sign-changing solution for a third-order boundary-value problem in ordered Banach space with lattice structure ⋮ NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX ⋮ Two positive solutions of third-order BVP with integral boundary condition and sign-changing Green's function ⋮ Editorial: Recent developments on fixed point theory in function spaces and applications to control and optimization problems ⋮ Application of fixed-point index theory for a nonlinear fractional boundary value problem with an advanced argument ⋮ Existence of positive solution to system of nonlinear third-order three-point BVPs ⋮ Application of the mixed monotone operator to a nonlinear third-order boundary value problem ⋮ Some necessary and sufficient conditions for existence of positive solutions for third order singular super-linear multi-point boundary value problems ⋮ Existence of positive solutions for \(n\)th-order singular sublinear boundary value problems with all derivatives ⋮ Solvability of infinite systems of fractional differential equations in the double sequence space \(2^c (\triangle)\)

Cites Work

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• Existence of solutions for a class of third-order nonlinear boundary value problems
• Solvability of a third-order two-point boundary value problem
• Existence and uniqueness of solutions for third-order nonlinear boundary value problems
• The existence of solution for a third-order two-point boundary value problem
• The existence and multiplicity of positive solutions for a third-order three-point boundary value problem.
• Existence of positive solutions for nonlinear third-order three-point boundary value problems
• Monotone iterative technique for periodic boundary value problems with causal operators
• The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows

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