A projection-iterative method for solving the periodic problem for integrodifferential equations with impulse effect

DOI10.1016/0096-3003(88)90081-1zbMath0671.65113OpenAlexW2005809212MaRDI QIDQ1119387

S. D. Milusheva, D. D. Bainov

Publication date: 1988

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(88)90081-1

zbMATH Keywords

periodic solutionsFourier seriesprojection-iterative methodnonlinear integro- differential equations of Volterra type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Cites Work

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• Application of the averaging method for functional-differential equations with impulses
• Justification of partially-multiplicative averaging for a class of functional-differential equations with variable structure and impulses
• Stability under persistent disturbances for systems with impulse effect
• Justification of the averaging method for a system of singularly perturbed differential equations with impulses
• A method for asymptotic integration of a periodic singularly perturbed system with impulses and its application in the theory of optimal control
• Differential systems with impulsive perturbations
• Justification of the averaging method for a system of differential equations with fast and slow variables and with impulses
• On a projective-iterative method for determining periodic solutions of systems of ordinary differential equations
• Justification of the Averaging Method for a Class of Functional-Differential Equations with Impulses
• Sufficient conditions for absence of ”beating” in systems of differential equations with impulses
• Justification of partially-multiplicative averaging for a class of functional-differential equations with impulses
• Stability with respect to part of the variables in systems with impulse effect

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