A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses

DOI10.1016/0021-9045(87)90070-0zbMath0611.34032OpenAlexW1987214105MaRDI QIDQ1087693

Snezhana G. Hristova, D. D. Bainov

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90070-0

zbMATH Keywords

Galerkin methodSuccessive approximationsdifference-differential equations with impulses at fixed moments

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (6)

Periodic boundary value problems for functional differential equations with impulses ⋮ Periodic solutions for second order impulsive differential systems ⋮ Boundary value problems for impulsive differential equations ⋮ Sublinear impulse effects and solvability of boundary value problems for differential equations with impulses ⋮ Periodic solutions to impulsive differential inclusions with constraints ⋮ Application of the monotone-iterative techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations

Cites Work

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• Differential systems with impulsive perturbations
• A nonlinear Volterra-Stieltjes integral equation and a Gronwall inequality in one dimension
• On the stability of differential systems with respect to impulsive perturbations
• On a projective-iterative method for determining periodic solutions of systems of ordinary differential equations
• Stability of impulsively perturbed systems
• On the stability of impulsively perturbed differential systems
• On boundedness of impulsively perturbed systems

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