Dynamic Equations on Time Scales
Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
... We discuss the existence of oscillatory and nonoscillatory solutions for first-order impul- sive dynamic equations on time scales with certain restrictions on the points of impulse. We will ...
12
Oscillation of higher order neutral dynamic equations on time scales
... In recent years, there has been much research activity concerning the oscillation and non-oscillation of solutions of dynamic equations on time scales. We refer the reader to the monographs ...
11
Nonoscillatory solutions to fourth order neutral dynamic equations on time scales
... In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time ...
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Oscillation and nonoscillation theorems of neutral dynamic equations on time scales
... In the past two decades, there has been shown a growing interest in the study of oscillation and stability of delay dynamic equations on time scales. Several excellent monographs [1–5] on the ...
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Eigenvalue Problems for Laplacian Functional Dynamic Equations on Time Scales
... differential equations and finite difference equations have been studied extensively, for example, see 1–4 and references ...on time scales, especially for p-Laplacian functional dynamic ...
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Asymptotic behavior of solutions for neutral dynamic equations on time scales
... arbitrary time-scale calculus, where a time scale is merely a nonempty closed set of real ...erence equations to dynamic equations on time ...delay dynamic ...
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Exponential Dichotomies and Fredholm Operators of Dynamic Equations on Time Scales
... of dynamic equations on time scales was introduced by Stefan Hilger [21] in order to unify and extend results of differential equations, difference eq- uations, q -difference ...
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Oscillation for Second Order Nonlinear Delay Dynamic Equations on Time Scales
... of time scales, which has recently received a lot of attention, was introduced by Hilger in his ...of time scales, by Bohner and Peterson 3 , summarizes and organizes much of the time ...
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Asymptotic Behavior of Solutions of Higher Order Dynamic Equations on Time Scales
... of time scales, which has recently received a lot of attention, was introduced by Hilger’s landmark paper 1 in order to create a theory that can unify continuous and discrete ...a time scale is equal ...
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Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales
... delay dynamic equations on time scales, in this paper, by using the averaging technique and the generalized Riccati transformation, we consider the second-order nonlinear neutral delay ...
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Oscillation of higher order nonlinear dynamic equations on time scales
... second-order dynamic equations on time-scales, see ...for dynamic equations on time ...on time scale calculus, we may refer to ...
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The method of finding solutions of partial dynamic equations on time scales
... On time scales, one area lacking of development is the method of finding solutions on partial dynamic ...partial dynamic equations on arbitrage time ...partial dynamic ...
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Oscillation Criteria for Second Order Delay Dynamic Equations on Time Scales
... delay dynamic equations on time scales, in this paper, we consider the second-order nonlinear delay dynamic equation on time scales ...
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Affine periodic solutions for nonlinear dynamic equations on time scales
... The existence of affine-periodic solutions for dynamic equations on time scales is studied. Mainly, via the topological degree theory, a general existence theorem is proved, which provides an ...
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Compactness criteria and new impulsive functional dynamic equations on time scales
... on time scales to define ε -equivalent impulsive functional dynamic equations on almost periodic time ...of dynamic equation, we establish some new theorems to characterize the ...
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New Oscillatory Theorems for Third Order Nonlinear Delay Dynamic Equations on Time Scales
... [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 , 256, ...
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Boundedness in functional dynamic equations on time scales
... Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We ap- ply our obtained results to ...
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Variational approach to second-order impulsive dynamic equations on time scales
... 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 ...
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Stability in Totally Nonlinear Neutral Dynamic Equations on Time Scales
... of dynamic equations brings together the traditional research areas of differential and difference ...same time, hence shedding light on the reasons for their seeming ...general time ...
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Asymptotic stability for dynamic equations on time scales
... Exponential decay and stability of solutions of dynamic equations on time scales were investigated in recent papers [1, 5–7, 11, 12] using Lyapunov’s method. We use different approaches based ...
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