Green's Function and Existence of a Unique Solution for a Third-Order Three-Point Boundary Value Problem
Open Access
- 1 January 2019
- journal article
- research article
- Published by Vilnius Gediminas Technical University in Mathematical Modelling and Analysis
- Vol. 24 (2), 171-178
- https://doi.org/10.3846/mma.2019.012
Abstract
The solutions of third-order three-point boundary value problem x ''' + f(t, x) = 0, t is an element of [a,b], x(a)= x' (a) = 0, x(b) = kx(eta), where eta is an element of (a, b), k is an element of R, f is an element of C([a,b] x R,R) and f (t, 0) not equal 0, are the subject of this investigation. In order to establish existence and uniqueness results for the solutions, attention is focused on applications of the corresponding Green's function. As an application, also one example is given to illustrate the result.This publication has 5 references indexed in Scilit:
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