A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses
type: Item
instance of: scholarly article
title: A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses
zbMATH Open document ID: 0611.34032
DOI: 10.1016/0021-9045(87)90070-0
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: Successive approximations for finding approximately the periodic solutions of nonlinear systems of difference-differential equations with impulses at fixed moments are constructed. The method used here unifies the ideas of the Galerkin method and the method due to [\textit{A. M. Samojlenko}, Ukr. Mat. Zh. 18, 50-59 (1966; Zbl 0158.340)].
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 3987728
zbMATH Keywords: Successive approximations
zbMATH Keywords: difference-differential equations with impulses at fixed moments
zbMATH Keywords: Galerkin method
author: Snezhana Hristova
author: Drumi Bainov
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90070-0
OpenAlex ID: W1987214105
cites work: Q2970111
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cites work: On the stability of impulsively perturbed differential systems
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cites work: Differential systems with impulsive perturbations
cites work: On the stability of differential systems with respect to impulsive perturbations
cites work: Stability of impulsively perturbed systems
cites work: On boundedness of impulsively perturbed systems
cites work: A nonlinear Volterra-Stieltjes integral equation and a Gronwall inequality in one dimension
cites work: On a projective-iterative method for determining periodic solutions of systems of ordinary differential equations
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description: scientific article; zbMATH DE number 3987728