[PDF] Top 20 Impulsive Diffusion Equation on Time Scales

... The time scale calculus can be applied to any fields in which dynamic processes are described by discrete or continuous time ...of time scale has various applications involving non-continuous domains ... See full document

... sults. Equation () has also been investigated by several authors using various techniques and different conditions on the nonlinearities, such as the coercive type potential condi- tion (see []) and the even type ... See full document

... of impulsive dynamic equations on time scales, such as the method of lower and upper solutions, fixed-point theory ...on time scales, which were first introduced in [], opened a very ... See full document

... To the best of our knowledge, few papers have been published on the existence of posi- tive periodic solutions of system (.). Our main purpose of this paper is by using a fixed point theorem of strict-set contraction to ... See full document

... By using the classical fixed point theorem for operators on a cone, in this paper, some results of single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of ... See full document

... It is well known that the application of theories of functional differential equations in mathematical ecology or biology has developed rapidly and effectively. The Lotka– Volterra ecological population model proposed by ... See full document

... an impulsive Lasota-Wazewska model with multiple time-varying delays on time ...on time scales, we obtain some sufficient conditions for the existence and exponential stability of the ... See full document

... on time scales, such as the method of lower and upper solutions, fixed-point theory, coincidence degree theory and so on (see [, ...on time scales using the variational method has received ... See full document

... the impulsive boundary value problem with p-Laplacian on time scales except that in ...studied impulsive dynamic equations on time scales without p-Laplacian in [–] (see also ... See full document

... on time scales has been a new important mathematical branch [–] since it was initiated by Hilger ...same time, the boundary value problems of impulsive dynamic equations on time ... See full document

... Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. Consequently, it is natural to assume that these perturbations act ... See full document

... on time scales: basic qualitative and quantitative results with applications to initial value problems on unbounded ...integro-differential equation of Volterra type on ... See full document

... The time scale calculus has tremendous potential for applications in mathematical models of real processes, for example, in physics, chemical technology, population dynamics, biotechnology and economics, neural ... See full document

... of time scales, which play an important role in establishing the existence of solutions for ε-equivalent impulsive func- tional dynamic equations with such a ‘sight ...on time scales ... See full document

... and some sufficient conditions for oscillation of all solu- tion on unbounded time scales are given. But, the oscilla- tion criteria are not considered the impulsive influence. It is rarely about the ... See full document

... The time scales approach unifies differential, difference, h-difference, and q-differences equations and more under dynamic equations on time ...on time scales was introduced by Hilger in ... See full document

... fractional equation for the flat plate. Exact solution of this equation will be ...this equation. The fractional terms in Stokes´ equation are considered as Caputo fractional ... See full document

... to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite ...to time t, the Hankel transform with respect to the radial coordinate r, the ... See full document

... this equation in the advection-diffusion equation and taking moments, one comes out with a matrix ordinary differential equation that is then solved analytically by the Laplace Transform ... See full document

... on time scales, where z(t) = x(t) + p(t)x( τ (t)) and β ≥ α > 0 are constants. By means of the Riccati transformation and inequality technique, some oscillation criteria are established, which extend and ... See full document