[PDF] Top 20 Asymptotic Behavior of Equilibrium Point for a Class of Nonlinear Difference Equation

... of nonlinear difference equations is of paramount importance not only in their own field but in understanding the behavior of their differential ...globally asymptotic behavior of solutions of ... See full document

... and nonlinear systems of differential-difference equations of Volterra type are often used to model biological populations, see [13, 16, ...fixed point theorem using a measure of noncompactness in the space of ... See full document

... and asymptotic behavior of nonoscillatory solution of ...zero equilibrium point y 1 , every solution of ...positive equilibrium y 2 when studying the nonoscillatory solutions of ... See full document

... global asymptotic stability analysis for a class of nonlinear difference ...global asymptotic stability of the equilibrium point for the nonlinear difference ...of ... See full document

... global asymptotic stability analysis for a class of nonlinear high order difference ...global asymptotic stability and unstability of the equilibrium point for the ... See full document

... Proof We must prove that the positive equilibrium point x ¯ of Equation (1.1) is both locally asymptotically stable and globally attractive. Theorem 3.5 has shown the local asymptotic ... See full document

... That is, we will investigate the global behavior of 1.1 including the asymptotical stability of equilibrium points, the existence of bounded solution, the existence of period two solutio[r] ... See full document

... the asymptotic behavior of the global strong solution to a class of fourth-order nonlinear evolution equations with both dispersive and dissipative ...of nonlinear evolution equations ... See full document

... local asymptotic stability of the equilibrium point of Equation ...global asymptotic stability behavior was used, like the idea in ... See full document

... positive equilibrium point is verified to be globally asymptotically ...Rational difference equation; Trajectory structure rule; Monotonicity; Periodicity; Global asymptotic stability; ... See full document

... Asymptotic Behavior of olutlons of Fourth Order Nonlinear Differential Equations, Proc.. An Oscillation Criterion for a Fourth Order Integrally Superllnear Differential Equation, Attl.[r] ... See full document

... (26) (27) Now system of algebraic equation (26) is linear to relative , (27) is linear is relative .As the initial iteration in (26) for is taken from the previous time step . When counting by an iterative ... See full document

... investigation, asymptotic, oscillatory and bounded solutions of general second order difference equations under advanced setup, we come across specific conditions on the special type of functions ... See full document

... the asymptotic behavior of the time series using second order difference of the combinations of observations obtained from a general time ...order difference equation to study time ... See full document

... The most important characteristic of equation (.) or (.) is in that, generally, the uniqueness of the solutions is not true; one can refer to [–]. Thus, for the equation of the type (.), we should ... See full document

... the nonlinear tracking diffe- rentiator is ...the nonlinear tracking differential in the literature 1 is expressed by the fractional form of the odd number of numerator and denominator, which is replaced by ... See full document

... some basic probabilistic and statistical properties of it discussed by []. Chen and Wang [] proposed a conditional least absolute deviation method to estimate the parameters of the model and investigated the ... See full document

... Now we turn our attention to the non-stable case. Recently, Atici and Eloe [] have anal- ysed the closed form of the solutions of (.) based on discrete Mittag-Leffler functions and proved that if / ≤ α <  and  ... See full document

... [5] X. Yang, D. J. Evans, and G. M. Megson, “Global asymptotic stability in a class of Putnam-type equations,” Nonlinear Analysis: Theory, Methods & Applications, vol. 64, no. 1, pp. 42–50, 2006. ... See full document

... The present paper is organized as follows. In Sect. 2, we present some lemmas which are useful in the proof of our main results. In Sect. 3, we carry out delicate analysis to give several oscillatory and ... See full document