Szczegóły publikacji
Opis bibliograficzny
Global existence and uniqueness of a classical solution to some differential evolutionary system / Lucjan SAPA // The Rocky Mountain Journal of Mathematics ; ISSN 0035-7596. — 2017 — vol. 47 no. 7, s. 2365–2394. — Bibliogr. s. 2393–2394, Abstr. — W WoS i Scopus zakres stron: 2351–2380.
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 111404 |
|---|---|
| Data dodania do BaDAP | 2018-01-15 |
| DOI | 10.1216/RMJ-2017-47-7-2351 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Rocky Mountain Journal of Mathematics |
Abstract
Theorems of global existence and uniqueness of a classical solution to a nonlinear differential evolutionary system with initial conditions are proved. This system is composed of one partial hyperbolic second-order equation and an ordinary subsystem with a parameter. In the proof of the theorems we use the Picard iteration method, the monotone method of lower and upper solutions, the integral form of the differential problem, weak differential inequalities and the Arzeli-Ascola lemma.
