Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side

Author:

Akhmetov M. U.,Perestyuk N. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference6 articles.

1. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).

2. A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Impulse Action [in Russian], Vysshaya Shkola, Kiev (1987).

3. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).

4. M. A. Aizerman and F. R. Gantmakher, ?Stability with respect to linear approximation of a periodic solution of a system of differential equations with discontinuous right-hand sides,? Prikl. Mat. Mekh.,21, No. 5, 658?669 (1957).

5. A. M. Samoilenko, N. A. Perestyuk, and M. U. Akhmetov, Differential Properties of Solutions and of Integral Surfaces of Nonlinear Impulse Systems [in Russian], Akad. Nauk Ukr. SSR, Inst. Mat., Preprint No. 90.37, Kiev (1990).

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