[PDF] Top 20 Global Asymptotic Behavior of

... The study of rational difference equations of order greater than one is quite challeng- ing and rewarding and the results about these equations serve as prototypes in the de- velopment of the basic theory of the ... See full document

... to global existence of the smooth solutions for IBVP ...the asymptotic behavior and optimal decay rate, noting that E = 1 - 2 satisfies the damping “Klein-Gordon” equation (see ... See full document

... Section  deals with the stochastic differential equations; by using suitable Lyapunov functions we show that the solution of the stochastic model is positive and global, and this solution oscillates around the ... See full document

... GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTION OF SECOND-ORDER NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS DENGHUA CHENG and JURANG YAN Received 26 August 1996 Abstract.. We conside[r] ... See full document

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

... of initial density and temperature is not very slow. And it is gained that there is a global strong solution and is unique for the 2D Cauchy problem with the initial density which can allow vacuum conditions and ... See full document

... the global existence and asymptotic behavior of classical solutions to Goursat problem for diagonalizable quasilinear hyperbolic ...the global existence and uniqueness of C 1 solutions with ... See full document

... unique global positive ...stochastic asymptotic behavior of the positive solution around endemic equilibrium of the deterministic models, obtain the stochastic asymptotic stability condition, ... See full document

... In continuation of Brito [I], [2], where we studied existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, Zwe now search for a time-peri[r] ... See full document

... includes global existence and global existence numbers, blow-up, blow-up rates, blow-up sets, and uniqueness of weak solutions see 8–10 and references ... See full document

... However, when people study the collapse of Tacoma Narrows Bridge in 1940, they came to realize that it was not appropriate to simply consider the suspension bridge as a beam. The report [2] about the Tacoma Narrows ... See full document

... of global solutions is obtained with the least amount of a priori ...the asymptotic behavior of global solutions is investigated under some assumptions on the initial ... See full document

... time asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative ...the global strong solutions of the problems decay to zero ... See full document

... unsatisfactory behavior, an adaptive nonlinear boundary control, presented by ...guarantee global asymptotic stabil- ity and convergence of the solution to the trivial solution as expected from the ... See full document

... obtained global existence results under the growth assumptions on the nonlinear terms and initial ...These global existence results have been improved by Liu and Zhao 16 by using a new ...of global ... See full document

... the global existence and asymptotic behavior of solutions to hyperbolic- type equations has a long ...the global existence and decay estimate of the ...is asymptotic to a diffusion wave, ... See full document

... compositions caused by deep supercooling in certain glasses. For more background, we refer to [–] and references therein. It is obvious that (.) is a fourth-order wave equa- tion. For global existence and ... See full document

... of global solutions for nonlinear wave equations with nonlinear damping and source terms [4, 5, 10, 13, 18] in the past twenty ...the asymptotic behavior of a global weak solution for the ... See full document

... When m 1, the existence and uniqueness, as well as decay estimates, of global solutions and blow up of solutions for the initial boundary value problem and Cauchy problem of 1.1 have been investigated by many ... See full document

... the global existence for a parabolic problem in divergence form analogous to ...the asymptotic behavior of solutions for the problem was studied by Zhang and Zhao ... See full document