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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Perturbations causing oscillations of functional-differential equations
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by A. G. Kartsatos and M. N. Manougian PDF
Proc. Amer. Math. Soc. 43 (1974), 111-117 Request permission

Abstract:

Some new criteria are given for the oscillation of solutions of perturbed functional-differential equations of the form \[ ({\text {I}})\quad {x^{(n)}} + P(t)f(x(g(t))) = Q(t).\] The results are new even in the case $g(t) \equiv t$, or when $({\text {I}})$ is linear. The function $Q(t)$ does not have to be small or periodic.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 111-117
  • MSC: Primary 34K15
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0328270-3
  • MathSciNet review: 0328270