Existence and uniqueness of solutions to first-order three-point boundary value problems

DOI10.1016/S0893-9659(01)00120-3zbMath1008.34009OpenAlexW2068719206MaRDI QIDQ1609456

Ru Yun Ma

Publication date: 15 August 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00120-3

zbMATH Keywords

existencesolutionsuniquenessfirst-order three-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Positive solutions for a Floquet functional boundary value problem ⋮ On the existence of solutions of two differential equations with a nonlocal condition ⋮ Existence and uniqueness of solutions for the first-order non-linear differential equations with three-point boundary conditions ⋮ Unnamed Item ⋮ Positive solutions to nonlinear first-order nonlocal BVPs with parameter on time scales ⋮ Boundary data smoothness for solutions of nonlocal boundary value problems for second order differential equations ⋮ Individual-based optimal weight adaptation for heterogeneous epidemic spreading networks ⋮ Existence and uniqueness results for nonlinear first-order three-point boundary value problems on time scales ⋮ Existence of solutions for three-point boundary value problems for second order equations ⋮ Existence and uniqueness of solutions to first-order multipoint boundary value problems. ⋮ Solutions of a class of deviated-advanced nonlocal problems for the differential inclusion \(x'(t)\in F(t,x(t))\) ⋮ Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations ⋮ Uniqueness implies existence for three-point boundary value problems for second order differential equations

Cites Work

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• A sharper condition for the solvability of a three-point second order boundary value problem
• Existence and uniqueness of solutions to three-point boundary value problems associated with nonliner first order systems of differential equations

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