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Grammatikopoulos, M. K.

A criterion for the existence of bounded nonoscillatory solutions for nonlinear retarded differential equatory. (English) Zbl 0416.34065

Ann. Mat. Pura Appl., IV. Ser. 120, 25-34 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 1 Review

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34C11 Growth and boundedness of solutions to ordinary differential equations

Keywords:

nonlinear retarded differential equatory; bounded nonoscillatory solutions

Citations:

Zbl 0344.34062
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Full Text: DOI

References:

[1] Grammatikopoulos, M. K., On the oscillation of bounded solutions of differential equations with deviating arguments, Czechoslovak Math. J., 2, 102, 186-200 (1977) · Zbl 0386.34064
[2] M. K. Grammatikopoulos - Y. G. Sficas - V. A. Staikos,Oscillatory properties of strongly superlinear differential equations with deviating arguments, J. Math. Anal. Appl. (to appear). · Zbl 0405.34062
[3] Kiguradze, I. T., On the oscillation of solutions of the equation d^mu/dt^m +a(t)|u|^n sgnu=0, Mat. Sb., 65, 172-187 (1964) · Zbl 0135.14302
[4] Kiguradze, I. T., The problem of oscillations of solutions of nonlinear differential equations, Differencial’nye Uravenija, 1, 995-1006 (1965) · Zbl 0145.11604
[5] Kusano, T.; Naito, M., Nonlinear oscillation of second order differential equations with retarded arguments, Ann. Mat. Pura Appl., 106, 171-185 (1975) · Zbl 0316.34083 · doi:10.1007/BF02415027
[6] Kusano, T.; Naito, M., Nonlinear oscillation of fourth order differential equations, Canad. J. Math., 28, 840-852 (1976) · Zbl 0432.34022
[7] Staikos, V. A.; Sficas, Y. G., Oscillatory and asymptotic behavior of functional differential equations, J. Differential Equations, 12, 426-437 (1972) · Zbl 0247.34076 · doi:10.1016/0022-0396(72)90016-2
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