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Distance between zeros of certain differential equations having delayed arguments. (English) Zbl 0316.34081


MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Full Text: DOI

References:

[1] Èl’Bert, A., A generalization of a certain inequality of Ljapunov to differential equations with retarded argument, Ann. Univ. Sci. Budapest, Eötvös Sect. Math., 12, 107-111 (1968) · Zbl 0195.38502
[2] Eliason, S. B., Lyapunov type inequalities for certain second order functional differential equations, SIAM J. Appl. Math., 27, 180-199 (1974) · Zbl 0292.34077 · doi:10.1137/0127015
[3] Gustafson, G. B., Bounded oscillations of linear and nonlinear delay-differential equations of even order, J. Math. Anal. Appl., 46, 175-189 (1974) · Zbl 0282.34027 · doi:10.1016/0022-247X(74)90290-X
[4] Ladas, G.; Ladde, G. S.; Papadakis, J. S., Oscillations of functional-differential equations generated by delays, J. Diff. Eq., 12, 385-395 (1972) · Zbl 0227.34053 · doi:10.1016/0022-0396(72)90039-3
[5] Ladas, G.; Lakshmikantham, V.; Papadakis, J. S.; Schmitt, K., Oscillations of higher-order retarded differential equations benerated by the retarded argument, Delay and Functional Differential Equations and Their Applications, 219-231 (1972), New York: Academic Press, New York · Zbl 0273.34052
[6] Ladde, G. S.; Schmitt, K., Oscillations of nonlinear functional differential equations generated by retarded actions, 355-365 (1972), Kingston, R.I.: Kingston, R.I., New York: Dept. of Math., Univ. Rhode Island, Kingston, R.I.: Kingston, R.I., New York: Academic Press, Kingston, R.I.: Kingston, R.I., New York: Dept. of Math., Univ. Rhode Island, Kingston, R.I.: Kingston, R.I., New York · Zbl 0273.34053
[7] Myskis, A. D., Linear Differential Equations with Retarded Arguments (1955), Berlin: Deutscher Verlag Der Wissenschaften, Berlin · Zbl 0067.31802
[8] S. B. Norkin,Differential Equations of the Second Order with Retarded Argument, Vol.31, Translations of Mathematical Monographs, Amer. Math. Soc., Providence, R.I., 1972. · Zbl 0234.34080
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