On the Conditions for Oscillation of the Solutions to Differential Equations with Aftereffect and Generalization of the Koplatadze-Chanturiya Theorem

Author:

Chudinov K. M.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference14 articles.

1. Koplatadze R. G. and Chanturiya T. A., “Oscillating and monotone solutions of first-order differential equations with deviating argument,” Differ. Uravn., vol. 18, no. 8, 1463–1465 (1982).

2. Fukagai N. and Kusano T., “Oscillation theory of first order functional-differential equations with deviating arguments,” Ann. Mat. Pura Appl., vol. 136, no. 4, 95–117 (1984).

3. Myshkis A. D., Linear Differential Equations with Retarded Argument [Russian], Nauka, Moscow (1972).

4. Myshkis A. D., “On solutions of linear homogeneous differential equations of the second order of periodic type with a retarded argument,” Mat. Sb., vol. 28, no. 3, 641–658 (1951).

5. Hunt B. R. and Yorke J. A., “When all solutions of $${x^\prime} = \sum {{q_i}\left(t \right)x\left({t - {T_i}\left(t \right)} \right)} $$ oscillate,” J. Differ. Equ., vol. 53, 139–145 (1984).

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