DOAJ Open Access 2021

Existence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions

M.J. Mardanov R.S. Mammadov S.Yu. Gasimov Ya.A. Sharifov

Abstrak

The article discusses the existence and uniqueness of solutions for a system of nonlinear integro-differential equations of the first order with two-point boundary conditions. The Green function is constructed, and the problem under consideration is reduced to equivalent integral equation. Existence and uniqueness of a solution to this problem is analyzed using the Banach contraction mapping principle. Schaefer’s fixed point theorem is used to prove the existence of solutions.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (4)

M.J. Mardanov

R.S. Mammadov

S.Yu. Gasimov

Ya.A. Sharifov

Format Sitasi

APA MLA BibTeX

Mardanov, M., Mammadov, R., Gasimov, S., Sharifov, Y. (2021). Existence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions. https://doi.org/10.31489/2021m2/74-83

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m2/74-83
Akses: Open Access ✓