[PDF] Top 20 On the Nonlinear Difference Equation

... 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

... then used this fact to arrive at the conclusion that the asymptotic exponen- tial growth rate of Fibonacci function with period k indeed converges to the well-known golden ratio φ. As a remark, we have also asserted that ... See full document

... In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of ... See full document

... This means that rule for the lengths of positive and negative semicycles of the solu- tion of Equation (1.1) to occur successively is ..., 2 + , 1 - , 2 + , 1 - , .... The proof for other cases, except Case 1, is ... See full document

... the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of ... See full document

... Difference equations appear naturally as discrete analogues and in the numerical solutions of differential and delay differential equations having applications in biology, ecology, physics, and so forth 1. The study of ... See full document

... Oscillation theory of difference equations has attracted many researchers. In recent years there has been much research activity concerning the oscillation and nonoscillation of solutions of delay difference equations. For ... See full document

... In this work we study various properties of (.). In Section  we study attractivity, stabil- ity and attractive region of (.) and its related equations. Further more we study bifurca- tions of (.). In Section  we ... See full document

... In this paper, it is of key for us to find that the lengths of positive and negative semi- cycles of nontrivial solutions of 1.1 occur periodically with prime period 15 with the rule 4 , 3 − , 1 , 2 − , 2 , 1 − , 1 , 1 − ... See full document

...   ,   0.003 ,    20.5, 23  , y     1 0 .8 and y   0  0.95 , respectively. This give us the relation between the parameters  and  , which have an im- portant role by the stability analysis of ... See full document

... A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories International Journal in IT and Engineering.. http:/[r] ... See full document

... mechanics, nonlinear optics, and plasma physics, ...the equation theo- retically and numerically due to its broad and important ...the nonlinear Schrödinger equation [–] such as finite ... See full document

... To the best of our knowledge, there are few papers that consider the boundary value of nonlinear fractional q-difference equations with parameters. Theories and applications seem to be just being initiated. In this ... See full document

... But “a question ” of mathematics and biology is whether stable and sustained oscillation possible for 1.1, when αβ > 1, increases. In the present paper, we provide a detailed analysis of these questions. Regarding β ... See full document

... Nonlinear partial differential equations are useful in describing various phenomena. These equations arise in various areas of physics, mathematics and engineering. Analytical solutions of these equations are ... See full document

... By establishing a comparison theorem and applying the monotone iterative technique combined with the method of lower and upper solutions, we investigate the existence of extremal solutions of the initial value problem ... See full document

... In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville ... See full document

... Sufficient conditions are obtained for the uniform stability and global attractivity of the zero solution of nonlinear scalar delay impulsive difference equation, which extend and improve the known results in ... See full document

... In recent years, the boundary value problems of fractional order differential equations have emerged as an important area of research, since these problems have applications in various disciplines of science and ... See full document

... The existence of positive solutions for boundary value problems of nonlinear functional di ff erence equations with p -Laplacian operator is investigated. Su ffi cient conditions are obtained for the existence of at ... See full document