Existence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions
| dc.contributor.author | Mardanov, M.J. | |
| dc.contributor.author | Mammadov, R.S. | |
| dc.contributor.author | Gasimov, S.Yu. | |
| dc.contributor.author | Sharifov, Ya.A. | |
| dc.date.accessioned | 2021-10-04T10:52:49Z | |
| dc.date.available | 2021-10-04T10:52:49Z | |
| dc.date.issued | 2021-06-30 | |
| dc.description.abstract | 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. | ru_RU |
| dc.identifier.citation | Mardanov M.J. Existence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions/M.J. Mardanov [et. al]//Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series. -2021. №2. Р.74-83. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz/xmlui/handle/data/11162 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | KU Publ. | ru_RU |
| dc.relation.ispartofseries | Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series.;№2(102)/2021 | |
| dc.subject | two-point boundary conditions | ru_RU |
| dc.subject | impulsive systems | ru_RU |
| dc.subject | existence and uniqueness solutions | ru_RU |
| dc.subject | fixed point theorems | ru_RU |
| dc.subject | first order differential equation | ru_RU |
| dc.title | Existence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions | ru_RU |
| dc.title.alternative | Екі нүктелі шекаралық шарттары бар бірінші ретті сызықты емес импульсті интегро-дифференциалдық теңдеулер үшін шешіімнің бар және жалғыз болуы | ru_RU |
| dc.title.alternative | Существование и единственность результатов для нелинейных импульсных интегро-дифференциальных уравнений первого порядка с двухточечными граничными условиями | ru_RU |
| dc.type | Article | ru_RU |