Periodic boundary value problems for functional differential equations with impulses
type: Item
instance of: scholarly article
title: Periodic boundary value problems for functional differential equations with impulses
zbMATH Open document ID: 0878.34059
author: Yujun Dong
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-01-04T00:00:00Z
review text: The author obtains existence results for periodic solutions of functional differential systems with impulses. He makes use of the coincidence degree theory and of the notions of strict bounded set and guiding function adapted to the impulsive case. When the impulsive effects are absent, the results reduce to some theorems by \textit{J. Mawhin} [J. Differ. Equations 10, 240-261 (1971; Zbl 0223.34055) and Regional Conference Series in Mathematics 40, Rhode Island (1979; Zbl 0414.34025)]. The results also generalize to the functional case some theorems by \textit{S. G. Khristova} and \textit{D. D. Bajnov} [J. Math. Anal. Appl. 125, 192-202 (1987; Zbl 0636.34031)] and \textit{Y. Li} and \textit{Q. Zhou} [Sci. China, Ser. A 36, No. 7, 778-790 (1993; Zbl 0787.34015)].
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 1031641
zbMATH Keywords: periodic solutions
zbMATH Keywords: functional differential systems with impulses
zbMATH Keywords: strict bound set
zbMATH Keywords: guiding function
reviewed by: Radu Precup
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5382
OpenAlex ID: W1972941546
cites work: A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses
cites work: Periodic solutions to ordinary differential equations with impulses
cites work: Q3049152
cites work: Periodic solutions of nonlinear functional differential equations
cites work: Ordinary differential equations with nonlinear boundary conditions
DOI: 10.1006/JMAA.1997.5382
description: scientific article; zbMATH DE number 1031641