[PDF] Top 20 DYNAMICS OF A SECOND-ORDER SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS

... are strictly increasing. For the sake of contradiction, these susequences have …nite limits. Since the subsequences are increasing, they must be bounded from above. But the system (1.1) has two equilibrium points ... See full document

... Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations.. We determine sufficient conditions under which every solution of ( ∗ ) is either.[r] ... See full document

... differential/difference equations has been the object of many researchers over the last ...differential/difference equations of fractional order has drawn significant ... See full document

... difference equations and systems, it should be tried to transfer a problem to equivalent one, if possible, or, at least, as long as it is ...difference equations; see, for example, our comment in ... See full document

... population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the price at an earlier time and in electric networks containing lossless transmission ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... The existence and uniqueness of solutions for the problem are proved by means of the Leray-Schauder nonlinear alternative and some standard fixed point theorems. Finally, we give two examples to demonstrate the use ... See full document

... Recently, there has been a lot of interest in studying the oscillatory and asymptotic behavior of solutions of various classes of second order nonlinear difference equations, see [1, 2, ... See full document

... In this paper, by using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the solvability for functional boundary value problems of second-order nonlinear ... See full document

... Difference equations usually describe the evolution of some certain phenomena over time and are also important in describing dynamics for fundamentally discrete system, see ...difference ... See full document

... however, no significant progress took place on this line. Recently, equation () was recon- sidered and its inverse was defined by – , and many interesting results in applications such as in number theory as well as in ... See full document

... difference equations. Compared to second-order difference equations, the study of higher-order equations, and in particular fourth-order equations (see, ...difference ... See full document

... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... See full document

... of nonlinear equations arise frequently in science and engineering they have attracted researcher's ...example, nonlinear systems of equations, after the necessary processing step of implicit ... See full document

... of Difference Equations has been growing ...that difference equations appear as mathematical models describing real life situations in probability theory, queuing theory, statistical problems, ... See full document

... [8] studied the global behavior of positive solution to the fourth-order rational difference equations.. Although difference equations are sometimes very simple in their forms, they are [r] ... See full document

... We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ... See full document

... We discuss the existence of nontrivial solutions to the boundary value problems for a coupled system of second-order nonlinear difference equations by using the critical point theory. ... See full document

... which are real and the eigenspace corresponding to any such eigenvalue is one dimen- sional. The following lemma is crucial to the study of nonlinear perturbations of the linear problem (1.1). The required results ... See full document

... Difference equations are widely found in mathematics itself and in its applications to combinatorial analysis, quantum physics, chemical reactions, and so ...difference equations and obtained many significant ... See full document