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Hale, J. K.

Averaging methods for differential equations with retarded arguments and a small parameter. (English) Zbl 0151.10302

J. Differ. Equations 2, 57-73 (1966).
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Cited in 2 Reviews
Cited in 51 Documents

Keywords:

ordinary differential equations
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References:

[1] Bellman, R.; Cooke, K., Differential-Difference Equations (1963), Academic Press: Academic Press New York · Zbl 0105.06402
[2] Bogoliubov, N.; Mitropolskii, Y., Asymptotic Methods in the Theory of Nonlinear Oscillations (1958), Moscow · Zbl 0083.08101
[3] Fuller, W. R., Existence Theorems for Periodic Solutions of Differential and Differential-Difference Equations, (Ph. D. Thesis (1957), Purdue Univ. Lafayette: Purdue Univ. Lafayette Ind)
[4] Halanay, A., The method of averaging in equations with retardation, Rev. Math. Pur. Appl., 4, 467-483 (1959) · Zbl 0104.06402
[5] Halanay, A., Teoria Calitativa Equatilor Diferentiale (1963), Editura Academici Republici Populare Romina: Editura Academici Republici Populare Romina Bucharest
[6] Hale, J. K., Linear functional-differential equations with constant coefficients, Contrib. Diff. Eqs., 2, 291-319 (1963) · Zbl 0143.30702
[7] Hale, J. K., Oscillations in Nonlinear Systems (1963), MacGraw-Hill: MacGraw-Hill New York · Zbl 0115.07401
[8] Hale, J. K.; Perelló, C., The neighborhood of a singular point of functional-differential equations, Contrib. Diff. Eqs., 3, 351-375 (1964) · Zbl 0136.07901
[9] Jones, G. S., Periodic functions generated as solutions of nonlinear differential-differential equations, (Proc. Symp. Nonlinear Diff. Eqs. and Nonlinear Mech. (1963), Academic Press: Academic Press New York), 105-112 · Zbl 0132.32403
[10] Krasovskii, N. N., Some Problems in the Theory of Stability of Motion (1959), Translated by Stanford University Press, 1963 · Zbl 0085.07202
[11] Minorsky, N., Nonlinear Oscillations (1962), van Nostrand: van Nostrand Princeton, New Jersey · Zbl 0123.06101
[12] Pinney, E., Differential-Difference Equations (1958), Univ. of California Press · Zbl 0096.28202
[13] Shimanov, N., On the vibration theory of quasilinear systems with lags, Prikl. Mat. Meh., 23, 836-844 (1959) · Zbl 0101.06803
[14] Shimanov, N., On stability in the critical case of a zero root with a time lag, Prikl. Mat. Meh., 24, 447-457 (1960) · Zbl 0099.10602
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