[PDF] Top 20 Oscillation criteria for second order nonlinear neutral dynamic equations with distributed deviating arguments on time scales

... on a time scale T. Throughout this paper, it is assumed that γ ≥  is a quotient of odd positive integers,  < a < b, τ (t) : T → T, is rd-continuous function such that τ (t) ≤ t and τ (t) → ∞ as t → ∞, δ(t, ... See full document

... In , Candan [] discussed the oscillation of Eq. (.) for δ(t, ξ ) ≤ t and δ(t, ξ) > t, respectively, where γ >  is a quotient of odd positive integers. In [], δ(t, ξ ) is decreasing with respect to ξ ... See full document

... of oscillation of differential equations, there are two techniques which are used to reduce the higher-order equations to the first-order Riccati equations (or inequal- ...to ... See full document

... establish oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales by a generalized Riccati ... See full document

... of oscillation criteria on discrete time scales such as T = Z, T = hZ, h > 0, or T = {t : t = q k ,k ∈ N 0 , q > 1} and the space ... See full document

... concerning oscillation and nonoscillation of solutions to neutral differential and dynamic equations on time scales, we refer the reader to [, ] and [–], and the references ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...the oscillation of the second-order nonlinear ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... difference equations, and dynamic equations on time scales have an enor- mous potential for applications in biology, engineering, economics, physics, neural net- works, social sciences, ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... the oscillation theory and asymptotic behavior of various classes of second-order and high-order differential equations and dynamic equations on time scales ... See full document

... delay dynamic equations on time scales, in this paper, we consider the second-order nonlinear delay dynamic equation on time scales ... See full document

... third order nonlinear neutral dynamic equation with dis- tributed deviating arguments on an arbitrary time scale ... See full document

... new oscillation criteria for the second-order nonlinear delay dynamic equations r tx Δ t γ Δ ptfxτ t 0 on a time scale T; here γ > 0 is a quotient of odd ... See full document

... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, biology and ... See full document

... The paper is organized as follows. In the next section, by developing a Riccati transformation technique some sufficient conditions for oscillation of all solutions of 1.1 on time scales are ... See full document

... some second-order dynamic ...nonneutral second-order equation in the form of (NE) when p(t) ≡ ...some oscillation criteria, we refer the reader to the papers [1, 2, 9, 12] ... See full document

... With the rapid development of science, the contributions of mathematical researchers are more urgent than ever before. Thus, beyond the purely mathematical interest, all of the above make the theory of dynamic ... See full document

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation ... See full document

... Remark . In this paper, we establish some new oscillation theorems for (.) in the case where p is finite or infinite on I. The criteria obtained extend the results in [] and improve those reported in ... See full document