Abstract
A non-linear system of differential-difference equations with impulses is considered. An approximate method for finding the periodic solution of the considered system is constructed and justified.
Zusammenfassung
Es wird ein nichtlineares Differential-Differenzengleichungssystem mit Impulsen behandelt und eine Approximationsmethode zur Ermittlung periodischer Lösungen des betrachteten Systems angegeben.
This is a preview of subscription content, log in via an institution to check access.
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Mil'man, V. D., Myshkis, A. D.: On the stability of motion in the presence of impulses. Sibirskii matematicheskii journal, I (1960), No. 2, 233–237 (in Russian).
Mil'man, V. D., Myshkis, A. D.: Random impulses in linear dynamical systems. Approximate methods for the solution of differential equations. Publ. House of the Acad. Sci. of the Ukrain. SSR, Kiev, 1963, 64–81 (in Russian).
Samoilenko, A. M., Perestiuk, N. A.: Periodic solutions of weakly-nonlinear systems with impulse effect. Diff. uravnenia, vol. 14, No. 6, 1978, 1034–1045 (in Russian).
Samoilenko, A. M.: Numeric-analytic method of investigating periodic systems of ordinary differential equations, II.-Ukrain. Math. Journal, 1966, 18, No. 2, 50–59 (in Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hristova, S.G., Bainov, D.D. Numeric-analytic method for finding the periodic solutions of nonlinear differential-difference equations with impulses. Computing 38, 363–368 (1987). https://doi.org/10.1007/BF02278714
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02278714