On solution of a system of differential equations via fixed point theorem
- Title
- On solution of a system of differential equations via fixed point theorem
- Author
- 박춘길
- Keywords
- complete partial b-metric space; generalized Geraghty type contraction mapping; di erential equation; well posed
- Issue Date
- 2019-09
- Publisher
- Eudoxus Press
- Citation
- Journal of Computational Analysis and Applications, v. 27, no. 3, Page. 417-426
- Abstract
- The purpose of the present paper is to study the existence of solution of a system of differential equations using fixed point technique. In this regard, in the first part of this article, along with some properties of partial b-metric topology, we prove a common fixed point theorem for generalized Geraghty type contraction mappings in a complete partial b-metric spaces. Then in second part we apply this result to show the existence of the solution of a system of ordinary differential equations.
- URI
- http://www.eudoxuspress.com/images/JOCAAA-VOL-27-2019-ISSUE-3.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/154048
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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