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Periodic solutions of singularly-perturbed systems of differential equations with impulse effect. (English) Zbl 0612.34033
From the authors’ summary: The present paper considers the problem for existence, uniqueness and asymptotic representation of periodic solutions of some singularly-perturbed systems of differential equations with impulses. The study is carried out with the help of a modification of the boundary functions method, adequately worked out to match the specific issues of the considered problem.
Reviewer: H.Hochstadt

MSC:
34C25 Periodic solutions to ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
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References:
[1] V. D. Mil’mann and A. D. Mishkis,On the stability of motion in the presence of impulses. Sib. Math. J., v. 12 (1960), 233-237 (Russian).
[2] S. G. Pandit and S. G. Deo,Differential equations with impulses. Springer-Verlag, Berlin 1982. · Zbl 0539.34001
[3] W. Wasow,Asymptotic expansions for ordinary differential equations. Interscience Publ., John Wiley & Sons, New York-London-Sidney 1965. · Zbl 0133.35301
[4] L. Flatto and N. Levinson,Periodic solutions of singularly perturbed systems. J. Rat. Mech. Analysis4, 943-950 (1955). · Zbl 0066.07302
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