Oscillation and nonoscillation in a nonautonomous delay-logistic equation

Authors:
B. G. Zhang and K. Gopalsamy

Journal:
Quart. Appl. Math. **46** (1988), 267-273

MSC:
Primary 34K15; Secondary 34C10, 92A15

DOI:
https://doi.org/10.1090/qam/950601

MathSciNet review:
950601

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Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions are obtained for the delay-logistic equation to be respectively oscillatory and nonoscillatory.

**[1]**L. È. Èl'sgol'c and S. B. Norkin,*Introduction to the theory and application of differential equations with deviating arguments*, Mathematics in Science and Engineering, vol.**105**, Academic Press, New York, 1973 MR**0352647****[2]**K. Gopalsamy,*Oscillations in a delay-logistic equation*, Quart. Appl. Math.**44**, 447-461 (1986) MR**860898****[3]**G. S. Jones,*The existence of periodic solutions of*, J. Math. Anal. Appl.**5**, 435-450 (1962) MR**0141837****[4]**S. Kakutani and L. Markus,*On the nonlinear difference-differential equation*in Contributions to the theory of nonlinear oscillations, IV, Annals of Mathematics Study**41**, Princeton University Press, N. J., 1958 MR**0101953****[5]**R. G. Koplatadze and T. A. Chanturiya,*Oscillating and monotone solutions of first-order differential equations with deviating argument*, Differential Equations**18**, 1463-1465 (1982) MR**671174****[6]**M. R. S. Kulenović, G. Ladas, and A. Meimaridou,*On oscillation of nonlinear delay differential equations*, Quart. Appl. Math.**45**, 155-164 (1987) MR**885177****[7]**V. Lakshmikantham, G. S. Ladde, and B. Zhang,*Oscillation theory of differential equations with deviating arguments*, Marcel Dekker Inc. (to appear) MR**1017244****[8]**V. N. Shevelo,*Oscillation of solutions of differential equations with deviating arguments*, Naukova Dumka, Kiev, 1972 MR**0492732****[9]**E. M. Wright,*A nonlinear difference-differential equation*, J. Reine Angew. Math.**194**, 66-87 (1955) MR**0072363**

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Additional Information

DOI:
https://doi.org/10.1090/qam/950601

Article copyright:
© Copyright 1988
American Mathematical Society