In this paper, we establish several oscillation criteria for the nonlinear second-order damped delay dynamic equation ( r(t)|xΔ(t)|β−1xΔ(t) )Δ + p(t)|xΔσ(t)|β−1xΔσ(t) + q(t)f(x(τ(t))) = 0 on an arbitrary time scale T, where β > 0 is a constant. Our results generalize and improve some known results in which β > 0 is a quotient of odd positive integers. Some examples are given to illustrate our m...

In this paper, by constructing a class of Philos type functions on time scales, we investigate the oscillation of the following second-order forced nonlinear dynamic equation x(t)− p(t)|x(q(t))|x(q(t)) = e(t), t ∈ T where T is a time scale, p, e : T → R are right dense continuous functions with p > 0, λ > 1 is a constant, and q(t) = t or q(t) = σ(t). Our results not only unify the oscillation o...

We prove several growth theorems for second-order dynamic equations on time scales. These theorems contain as special cases results for second-order differential equations, difference equations, and q-difference equations. 2006 Elsevier Inc. All rights reserved.

By means of Riccati transformation techniques, we establish some new oscillation criteria for the second order nonlinear dynamic equation

The paper present some oscillation criteria for the nonlinear second-order damped delay dynamic equation ( r(t)|x∆(t)|β−1x∆(t) )∆ + p(t)|x∆σ (t)|β−1x∆σ (t) + q(t)f(x(τ(t))) = 0 on an arbitrary time scale T, where β > 0 is a constant, supT = ∞, σ(t) := inf{s ∈ T : s > t} is the forward jump operator on T, and x∆σ := x ◦ σ. Our results improve and extend some known results in which β > 0 is a quo...

Omid Solaymani Fard 1,*, Tayebeh Aliabdoli Bidgoli 2 and Azim Rivaz 2 1 Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan 36716-41167, Iran 2 Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman 76169-14111, Iran; [email protected] (T.A.B.); [email protected] (A.R.) * Corres...

In the present paper a general critisicsm of kinetic equations for vehicular traac is given. The necessity of introducing an Enskog-type correction into these equations is shown. An Enskog-like kinetic traac ow equation is presented and uid dynamic equations are derived. This derivation yields new coeecients for the standard uid dynamic equations of vehicular traac. Numerical simulations for in...

Mobile communication channels are often modeled as linear time-varying filters or, equivalently, as time-frequency integral operators with finite support in time and frequency. Such a characterization inherently assumes the signals are narrowband and may not be appropriate for wideband signals. In this paper time-scale characterizations are examined that are useful in wideband time-varying chan...

abstract in recent years, automatic weather stations have been widely used for recording meteorological data in different time scales. therefore the accurate estimation of eto by combination equations can be evaluated using these set of short time scales data. daily eto can also be calculated by summation of hourly eto values. the purpose of this study is to compare the eto values estimated by ...