Existence and uniqueness of solutions for the system ofintegro-differential equations with three-point and nonlinear integral boundary conditions
2020 ◽
Vol 99
(3)
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pp. 23-37
Keyword(s):
The paper examines a system of nonlinear integro-differential equations with three-point and nonlinear integral boundary conditions. The original problem demonstrated to be equivalent to integral equations by using Green function. Theorems on the existence and uniqueness of a solution to the boundary value problems for the first order nonlinear system of integro- differential equations with three-point and nonlinear integral boundary conditions are proved. A proof of uniqueness theorem of the solution is obtained by Banach fixed point principle, and the existence theorem then follows from Schaefer’s theorem.
2019 ◽
Vol 12
(3)
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pp. 756-770
2011 ◽
Vol 31
(6)
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pp. 2122-2130
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2014 ◽
Vol 07
(04)
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pp. 246-254
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2022 ◽
Vol 6
(1)
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pp. 1-11
2016 ◽
Vol 09
(05)
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pp. 2434-2447
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