Premium
Linearized Oscillations for Differential Equations of Neutral Type
Author(s) -
Shen Jianhua
Publication year - 1995
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.19951760119
Subject(s) - mathematics , oscillation (cell signaling) , nonlinear system , differential equation , mathematical analysis , type (biology) , delay differential equation , physics , quantum mechanics , biology , ecology , genetics
Abstract. Consider the nonlinear neutral delay differential equationwith P ( t ), Q (t) continuous, τ > 0, σ> 0. We obtain new sufficient conditions for the oscillation of all solutions by an associate linear equation, and thereby establish some new criteria as proposed in an earlier open problem.