[PDF] Top 20 Compactness criteria and new impulsive functional dynamic equations on time scales

... ε-equivalent impulsive functional dynamic equa- tions on almost periodic time scales, we established several theorems in the paper (see Sections  and ) to obtain some new ... See full document

... some new sufficient conditions, which ensure that every solution oscillates, are ...oscillation criteria for p-Laplacian delay differential equations with damping and p-Laplacian delay difference ... See full document

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

... some new oscillation criteria for the equations are ...differential equations with damping and second-order Emden-Fowler delay difference equations with ... See full document

... of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his ...“dynamic equations” unifies the theories of differential equations and di ff ... See full document

... A time scale T is an arbitrary nonempty closed subset of the reals R ...of dynamic equations on time scales is a fairly new topic, and work in this area is rapidly ...a ... See full document

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

... of time scales, which has recently received a lot of attention, was introduced by Hilger in his ...this new theory; see the survey paper by Agarwal et ...of time scales, by Bohner and ... See full document

... The time scales approach unifies differential, difference, h-difference, and q-differences equations and more under dynamic equations on time ...of dynamic equa- tions on ... See full document

... so-called dynamic equations unify the theories of differential equations and difference equations, but also it is able to extend these classical cases to cases “in between”, ...q-difference ... See full document

... of impulsive differential equations is emerging as an important area of investigation, since it is a lot richer than the corresponding theory of differential equations without impulse ...such ... See full document

... of impulsive differential equations is emerging as an important area of investigation, since it is a lot richer than the corresponding theory of differential equa- tions without impulse ...such ... See full document

... of dynamic equations on time scales goes back to Stefan Hilger ...a new area of fairly theoretical exploration in ...on time scales; see, for example, ...p-Laplacian ... See full document

... oscillatory criteria for the Equation ...nonlinear dynamic Equation ...two new sufficient conditions which guarantee that every solution of Equation (1) is oscillatory or converges to ...the ... See full document

... a time scale T, where γ is the quotient of odd positive integers, a and r are positive rd- continuous functions on T, and g : T → T satisfies lim t→∞ g(t) = ∞ and f ∈ C(T × R, ...some new oscillation ... See full document

... m   t p t       t [3] L. H. Erbe, “Oscillation Criteria for Second Order Linear Equations on Atime Scale,” Canadian Applied Mathe- matics Quarterly, Vol. 9, No. 4, 2001, pp. 345-375. [4] A. Del ... See full document

... on time scales [–] since the theory of dynamic equations on time scales has been a new important mathematical branch (see, for example, [– ...p-Laplacian ... 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

... delay dynamic equations by Agarwal, Bohner and Saker in 2005 [1] (7) and the nonlinear delay dynamic equations by Sahiner [2] (6), some sufficient conditions for oscillation of (7) and (6) ... 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 [], ... See full document