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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the oscillation of differential equations with periodic coefficients
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by Ch. G. Philos PDF
Proc. Amer. Math. Soc. 111 (1991), 433-440 Request permission

Abstract:

This paper is concerned with the oscillation of first-order linear delay differential equations in which the coefficients are periodic functions with a common period and the delays are constants and multiples of this period. A necessary and sufficient condition for the oscillation of all solutions is established.
References
  • L. E. Èl′sgol′ts 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 [Harcourt Brace Jovanovich, Publishers], New York-London, 1973. Translated from the Russian by John L. Casti. MR 0352647
  • G. Ladas, Y. G. Sficas, and I. P. Stavroulakis, Necessary and sufficient conditions for oscillations, Amer. Math. Monthly 90 (1983), no. 9, 637–640. MR 719755, DOI 10.2307/2323283
  • G. S. Ladde, V. Lakshmikantham, and B. G. Zhang, Oscillation theory of differential equations with deviating arguments, Monographs and Textbooks in Pure and Applied Mathematics, vol. 110, Marcel Dekker, Inc., New York, 1987. MR 1017244
  • M. I. Tramov, Conditions for the oscillation of the solutions of first order differential equations with retarded argument, Izv. Vysš. Učebn. Zaved. Matematika 3(154) (1975), 92–96 (Russian). MR 0380060
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 433-440
  • MSC: Primary 34K15
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1037219-X
  • MathSciNet review: 1037219