Existence and uniqueness of solutions for the first order non-linear differential equations with multi-point boundary conditions

Mardanov, M.; Sharifov, Y.; Aliyev, H.; Sardarova, R.

doi:10.29020/nybg.ejpam.v13i3.3698

Existence and uniqueness of solutions for the first order non-linear differential equations with multi-point boundary conditions

istinad üçün kopyala

Mardanov M. J., Sharifov Y. A., Aliyev H. N., Sardarova R. A.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.13, no.3, pp.414-426, 2020 (ESCI)

Nəşrin Növü: Article / Article
Cild: 13 Say: 3
Nəşr tarixi: 2020
Doi nömrəsi: 10.29020/nybg.ejpam.v13i3.3698
jurnalın adı: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus
Səhifə sayı: pp.414-426
Adres: Bəli

Qısa məlumat

This article discusses the existence and uniqueness of solutions for the system of nonlinear 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.