[PDF] Top 20 Systems of first-order nabla dynamic equations on time scales

... Existence results for system (1.2) were obtained in [5] with f is a continuous function. In the particular case where n = 1, existence results for first-order ∇-dynamic equation on time ... See full document

... Multiplicity results are obtained for systems of first order dynamic inclusions on time scales with the periodic boundary condition. To this aim, we introduce the notion of a strict ... See full document

... 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 ... See full document

... continuous dynamic systems, die out, say in winter, while their eggs are incubating or dormant, and then in season again, hatching gives rise to a nonoverlapping population see Bohner and Peterson 3 ... See full document

... Dynamic equations with deviating argument are deemed to be adequate in modeling of the countless processes in all areas of ...delay dynamic equations under consideration is the dependence of ... See full document

... This paper concerns the existence of solutions for two kinds of systems of first-order equations on time scales. Existence results for these problems are obtained with new ... 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 dynamic ... See full document

... of first-and second-order dynamic equations on time-scales, see ...for dynamic equations on time ...on time scale calculus, we may refer to ... See full document

... 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 equations may exhibit ... See full document

... In this paper, using Krasnoselskii’s Fixed Point Theorem, we obtain some sufficient condi- tions for the existence of nonoscillatory solutions to the first-order neutral dynamic equa- tion (1.1) in four cases. ... 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 impulsive ... See full document

... a time scale, that is, T is a nonempty closed subset of ...denoting time scales interval, that is, 0, T T : 0, T ∩ ...concerning time scales can be found in ... 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

... [18] Gao, L., Zhang, Q.X. and Liu, S.H. (2014) Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales. Journal of Computational and Applied Mathematics , ... See full document

... the time scales calculus extracted from [3]. A time scale, which inherits the standard topology on R , is a nonempty closed subset of ...a time scale will be denoted by the symbol T , and the ... See full document

... A time scale T is an arbitrary nonempty closed subset of the real numbers. For t ∈ T, we define the forward jump operator σ : T → T by σ ( t ) = inf { s ∈ T : s > t } , and the backward jump operator ρ ( t ) = ... See full document

... of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger [1] in his PhD thesis in 1988 in order to unify contin- uous and discrete ...of dynamic ... See full document

... erential equations established by Hille. For the case of the second-order half-linear differential equation, our results ex- tend and improve some earlier results of Li and Yeh and are related to some work ... See full document

... of time scales with one goal being the unified treatment of differential equations (the continuous case) and difference equations (the discrete ...A time scale T is an arbitrary nonempty ... See full document

... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... See full document