TY  - JOUR
TI  - A unique solution to a fourth-order three-point boundary value problem
AB  - In this study, it is aimed to examine the solutions of the following nonlocal boundary value problem
y
(4) + g(x, y) = 0, x ∈ [c, d], y(c) = y
′
(c) = y
′′(c) = 0, y(d) = λy(ξ).
Here, ξ ∈ (c, d), λ ∈ R, g ∈ C([c, d] × R, R) and g(x, 0) ̸= 0. It is concentrated on applications of Green’s function that
corresponds to the above problem to derive existence and uniqueness results for the solutions. One example is also given
to demonstrate the results.
AU  - Erturk, Vedat Suat
DO  - 10.3906/mat-2007-79
PY  - 2020
JO  - Turkish Journal of Mathematics
VL  - 44
IS  - 5
SN  - 1300-0098
SP  - 1941
EP  - 1949
DB  - TRDizin
UR  - http://search/yayin/detay/527767
ER  -