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E. El-Shobaky E. M. Elabbasy T. S. Hassan B. A. Glalah 《Mediterranean Journal of Mathematics》2016,13(3):981-1003
In this paper, we present oscillation criteria for the second-order nonlinear dynamic equation \({[a(t)\phi_{\gamma} (x^{\Delta}(t))]^{\Delta} + p(t)\phi_{\gamma}(x^{\Delta^{\sigma}}(t)) + q_{0}(t) \phi_{\gamma}(x(g_{0}(t)))+\sum_{i=1}^{2}\int_{a_{i}}^{b_{i}}q_{i}(t,s)\phi_{\alpha_{i}(s)}(x(g_{i}(t,s))) \Delta \zeta_{i}(s)=0}\) on a time scale \({\mathbb{T}}\) which is unbounded above. Our results generalize and improve some known results for oscillation of second-order nonlinear dynamic equation. Some examples are given to illustrate the main results. 相似文献
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** Email: emelabbasy{at}mans.edu.eg*** Email: shsaker{at}mans.edu.eg In this paper, we consider the discrete non-linear delay populationdynamics model [graphic: see PDF] where m is a positive integer, p(n), Q(n) and (n) are positiveperiodic sequences of period . By the method that involves theapplication of the Gaines and Mawhins coincidence degree theory,we prove that there exists a positive -periodic solution (n). We prove that every positive solutionof (*) which does not oscillate about (n)satisfies limt[y(n)(n)]=0.We establish some necessary and sufficient conditions for theoscillation of every positive solution about (n), and finally, we establish the lower and upperbounds of the oscillatory solutions. 相似文献
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In this paper, we consider the discrete nonlinear delay population model exhibiting the Allee effect
where a, b and c are constants and p, q and τ are positive integers. First, we study the local stability of the equilibrium points. Next, we establish some oscillation
results of nonlinear delay difference equations with positive and negative coefficients and apply them to investigate the
oscillatory character of all positive solutions of equation (*) about the positive steady state x
* and prove that every nonoscillatory solution tends to x
*.
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((*)) |
4.
This paper addresses the synchronization problem of two different electronic circuits by using nonlinear control function. This technique is applied to achieve synchronization for the stable van der Pol oscillator and Chen chaotic dynamical system. Numerical simulations results are given to demonstrate the effectiveness of the proposed control method. 相似文献
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This paper addresses the synchronization problem of two Lü hyperchaotic dynamical systems in the presence of unknown system parameters. Based on Lyapunov stability theory an adaptive control law is derived to make the states of two identical Lü hyperchaotic systems with unknown system parameters asymptotically synchronized. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization schemes. 相似文献
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In this paper, we investigate the dynamics of the mathematical model of two non-interacting preys in presence of their common natural enemy (predator) based on the non-autonomous differential equations. We establish sufficient conditions for the permanence, extinction and global stability in the general non-autonomous case. In the periodic case, by means of the continuation theorem in coincidence degree theory, we establish a set of sufficient conditions for the existence of a positive periodic solutions with strictly positive components. Also, we give some sufficient conditions for the global asymptotic stability of the positive periodic solution. 相似文献
7.
E.M. Elabbasy 《数学研究与评论》1995,(3)
OscillationofSolutionsforaSecondOrderNonlinearPerturbedDifferentialEquationswithFunctionalArgumentsE.M.Elabbasy(Dept.ofMath.,... 相似文献
8.
In this paper, we are concerned with the oscillation properties of the third order differential equation
. Some new sufficient conditions which insure that every solution oscillates or converges to zero are established. The obtained
results extend the results known in the literature for γ = 1. Some examples are considered to illustrate our main results.
相似文献
9.
Elmetwally M. Elabbasy Taher S. Hassan Samir H. Saker 《Journal of Applied Mathematics and Computing》2006,21(1-2):99-118
In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equations. Several new sufficient conditions which ensure that all solutions are oscillatory are given. The obtained results extend and improve several known results in the literature. Some examples are considered to illustrate the main results. 相似文献
10.
E.M. Elabbasy 《数学研究及应用》1995,15(3):329-336
Conditions are given on the hunctions f, g, h,p and q which imply that allcontinuable solutions of are abounded as well as oscillatory on the interval [t0,∞), t0> 0. 相似文献
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