[PDF] Top 20 Global behavior of the solutions of some difference equations

... is global attractor. In Sect. 4 we give the solutions of some special cases of Equation 1 and give a numerical exam- ples of each case and draw it by using Matlab ... See full document

... periodic solutions for some difference ...illustration, some applications are provided for a second order differential equation with piecewise constant ... See full document

... This paper is to study the unicity of transcendental meromorphic solutions to some nonlinear difference equations. Let m ∈ ± ± { 2, 1,0 } be a nonzero ra- tional function. Consider the ... See full document

... asymptotic behavior of solutions of constant coefficient linear implicit difference equations with index ...all solutions of the original implicit equation Ex n ( + 1 ) = Ax n ( ) are ... See full document

... the global behavior of positive solutions of the fourth-order boundary value problem ...the behavior of f = f (x, s) as s → +∞, we handle both asymptotically linear, superlinear, and sublinear ... See full document

... meromorphic solutions of systems of complex difference equation ...entire solutions of systems of complex difference equation ...meromorphic solutions of systems of complex difference equation ...of ... See full document

... The plan for the rest of the proof consists in showing that S is α ∞ -condensing. This will be achieved using the first part of Theorem . From here, it will be clear that T = G + S is α ∞ -condensing. Finally, we shall ... See full document

... , some results on growth of solutions of a complex difference equation are listed, and our theorems are ...gives some examples to show the accuracy of conclusions of Theorem ... See full document

... Next, we give a nonexistence result under some restrictions on the function a. So we as- sume that the kernel V is self-adjoint, namely for each nonnegative measurable functions h, k in we have Vh(x)k(x) dx = ... See full document

... For the q-difference equation (.), Theorem C only considered the case when solutions have Borel exceptional zeros and poles. But how about the existence and growth of mero- morphic solutions of (.)? ... See full document

... meromorphic solutions of complex difference equations owing to the introduction of Nevanlinna theory in this ...q-difference equations is an important component of the study of com- plex differences and ... See full document

... However, when n =  and g(z) has a specific relationship with f (z) in (.), the problem that whether we can obtain the accurate expressions of entire solutions or not is worth to be considered. Recently, many ... See full document

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

... meromorphic solutions of complex difference equations have become a sub- ject of great interest from the viewpoint of Nevanlinna theory, due to the apparent role of the existence of such solutions of ... See full document

... many results on the growth and the exponent of convergence of the sequence of zeros of meromorphic solutions of (.). For instance, in [–], the authors considered the case when there is exactly only one ... See full document

... various equations like ordinary and partial differen- tial equations [3–6], difference equations [7–9], dynamic equations on time scales [10–14], and fractional differential (difference) ... See full document

... the behavior of a parametric fuzzy difference equation we use the following technique: we investigate the behavior of the solutions of a related family of systems of two parametric ordinary di ff ... See full document

... with some other ...difference equations systems. For example, the periodicity of the positive solutions of the rational difference equations ... See full document

... In 10 , Heittokangas et al. extended and improved the above result to higher-order difference equations of more general type. However, by inspecting the proofs in 4 , we can find a more general class of complex ... See full document

... By a symmetry argument, one has that x m is also a solution to 4.8. By inspection of the coefficients of the polynomial in the left-hand side of 4.8 one sees that two positive solutions are possible only when q < ... See full document