Oscillations for a Class of Second Order Nonlinear Differential Equations
Received:September 11, 1997  Revised:June 21, 1999
Key Words: oscillation   integral average   nonlinear.  
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Author NameAffiliation
HOU Cheng-min Dept. of Math., Teachers′ College of Yanbian University, Yanji 133000, China 
HE Yan-sheng Dept. of Math., Teachers′ College of Yanbian University, Yanji 133000, China 
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Abstract:
      In this paper, we disscuss a class of second order nonlinear differential equations (a(t)y′(t))′+p(t)y′(t-τ(t))-q(t)f(y(t))=0, t≥t0(1) and (a(t)y′(t))′-p(t)y′(t+τ(t))-q(t)f(y(t))=0, t≥t0(2) where, a(t),p(t),q(t),τ(t)∈C [(t0,∞),(0,∞)],f(u)∈C(R,R), sufficient conditions are obtained for all solutions of the equations to be oscillatory.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.04.015
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