Oscillation of second-order nonlinear delay differential equations with nonpositive neutral coefficients
نویسندگان
چکیده
منابع مشابه
Oscillation of second-order nonlinear delay differential equations with nonpositive neutral coefficients
By a solution to (.), we mean a function x ∈ C([Tx,∞),R), Tx ≥ t which has the property r(z′)α ∈ C([Tx,∞),R) and satisfies (.) on the interval [Tx,∞). We consider only those solutions of (.) which satisfy condition sup{|x(t)| : t ≥ T} > for all T ≥ Tx and assume that (.) possesses such solutions. As usual, a solution of (.) is called oscillatory if it has arbitrarily large zeros o...
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Received: November 24, 2010 Accepted: December 10, 2010 doi:10.5539/jmr.v3n2p193 This work was supported by the Science and Technology Program of Hunan Province of P. R. China (Grant No. 2010FJ6021). Abstract We investigate the bounded oscillation of the second-order nonlinear neutral delay dynamic equation with oscillating coefficients ( r(t) ∣∣∣∣[x(t) + p(t)x(τ(t))]Δ∣∣∣∣α−1[x(t) + p(t)x(τ(t))...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2015
ISSN: 1687-1847
DOI: 10.1186/s13662-015-0377-y