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3篇 您的检索式:作者名="SAKER Samir H."
    题名 作者 年代 出处 被引量
1Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential显示文摘Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.ANDERSON Douglas R. SAKER Samir H. 2013Science China Mathematics2013,56,3:4
2Oscillation of second-order damped dynamic equations on time scales显示文摘Samir H. Saker Ravi P. Agarwal Donal O’Regan 2006Journal of Mathematical Analysis and Applications2006,,2:1
3Oscillation of third-order functional dynamic equations on time scales显示文摘We consider the nonlinear functional dynamic equation (p(t)[(r(t)xΔ (t))Δ]γ )Δ + q(t)f (x(τ (t))) = 0, for t≥t0, on a time scale T, where γ > 0 is the quotient of odd positive integers, p, r, τ and q are positive rd-continuous functions defined on the time scale T, and limt→∞τ (t) = ∞. The main aim of this paper is to establish some new sufficient conditions which guarantee that the equation has oscillatory solutions or the solutions tend to zero as t →∞. The main investigation depends on the Riccati substitution and the analysis of the associated Riccati dynamic inequality. Our results extend, complement and improve some previously obtained ones. In particular, the results provided substantial improvement for those obtained by Yu and Wang [J Comput Appl Math, 225 (2009), 531-540]. Some examples illustrating the main results are given.531–540]. Some examples illustrating the main results are given.SAKER Samir H. 2011Science China Mathematics2011,54,12:1
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