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Oscillation in Linear Differential Equations with Continuous Distribution of Time Lag
Author(s) -
Yuanji Cheng
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911530120
Subject(s) - mathematics , oscillation (cell signaling) , lag , time lag , property (philosophy) , differential equation , mathematical analysis , distribution (mathematics) , computer network , philosophy , genetics , epistemology , computer science , biology
The purpose of this paper is to study oscillation of solutions of the following equation where D k ϵ B (C[‐ r , 0], R ), k = 0, 1,…, n, r > 0, const, x t ( s ) = x ( t + s ). Under very generic conditions, we show that the oscillatory property of (1) can be determined from the behavior of the characteristic.