Oscillation Criteria for First-Order Delay Equations |
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Authors: | Sficas, Y. G. Stavroulakis, I. P. |
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Affiliation: | Department of Mathematics, University of Ioannina 451 10 Ioannina, Greece Department of Mathematics, University of Ioannina 451 10 Ioannina, Greece; ipstav{at}cc.uoi.gr |
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Abstract: | This paper is concerned with the oscillatory behaviour of first-orderdelay differential equations of the form (1) where is non-decreasing, (t)< t for t t0 and . Let the numbers k andL be defined by It is proved here that when L < 1 and 0 < k 1/e all solutionsof equation (1) oscillate in several cases in which the condition holds, where 1 is the smaller root of the equation = ek. 2000Mathematics Subject Classification 34K11 (primary); 34C10 (secondary). |
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