Existence and Uniqueness of Solutions for the First Order Non-linear Differential Equations with Multi-point Boundary Conditions
2020 ◽
Vol 13
(3)
◽
pp. 414-426
Keyword(s):
This article discusses the existence and uniqueness of solutions for the system of non-linear first order ordinary differential equations with multipoint boundary conditions. The Green function is constructed, and the problem is reduced to the equivalent integral equation. Existence and uniqueness of the solution to this problem is studied using the Banach contraction mapping principle and Schaefer’s fixed point theorem.
2021 ◽
Vol 102
(2)
◽
pp. 74-83
2019 ◽
Vol 12
(3)
◽
pp. 756-770
1993 ◽
Vol 173
(1)
◽
pp. 158-164
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2020 ◽
Vol 99
(3)
◽
pp. 23-37
2018 ◽
2021 ◽
Vol 14
(2)
◽
pp. 608-617