On the stability of first-order nonlinear equations of neutral type. (English. Russian original) Zbl 0231.34064
J. Appl. Math. Mech. 34, 560-567 (1970); translation from Prikl. Mat. Mekh. 34, 587-594 (1970).
MSC:
| 34K40 | Neutral functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
References:
| [1] | Kolmanovskii, V. B.; Khas’minskii, R. Z., The stability of linear systems with lag, (Matematika, N≗4 (1966), Izv.Vyssh.Uch. Zav) |
| [2] | Kolmanovskii, V. B., Application of the Liapunov method to linear systems with lag, PMM, Vol. 31, N≗5 (1967) · Zbl 0291.60027 |
| [3] | Kolmanovskii, V. B., On the stability of stochastic systems with lag, Problemy Peredachi Informatsii, Vol. 5, N≗4 (1969) · Zbl 0279.93049 |
| [4] | Misnik, A. F.; Nosov, V. R., On the problem of the stability of differential-difference equations of neutral type, (Collected Scientific Papers by Graduate Students. Collected Scientific Papers by Graduate Students, Patrice Lumumba Friendship University, Department of Physico-Mathematical and Natural Sciences N≗1 (1968)), Moscow |
| [5] | Krasovskii, N. N., Some Problems of Motion Stability Theory (1959), Fizmatgiz: Fizmatgiz Moscow · Zbl 0085.07202 |
| [6] | Zverkin, A. M., Existence and uniqueness theorems for equations with a deviating argument in the critical case, (Proceedings of the Seminar on Theory of Differential Equations with a Deviating Argument, Vol. 1 (1962), Patrice Lumumba Friendship University: Patrice Lumumba Friendship University Moscow) · Zbl 0234.34081 |
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