[PDF] Top 20 On the Solution of Some Difference Equations
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On the Solution of Some Difference Equations
... these equations is quite challenging and rewarding and is still in its ...rational difference equations are of paramount importance in their own right, and furthermore we believe that these results ... See full document
17
Summation Characterization of the Recessive Solution for Half Linear Difference Equations
... The concept of the recessive solution of 1.1 has been introduced in 7. There are several attempts in literature to find a summation characterization of this solution, see 8 and also related references 9, ... See full document
16
Asymptotically almost periodic solution to a class of Volterra difference equations
... This paper is concerned with an asymptotically almost periodic solution to a class of Volterra-type difference equations. We establish a compactness criterion for the sets of asymptotically almost periodic ... See full document
12
Accurate solution estimates for vector difference equations
... Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attrac- tion of the stationary solution. Our approach is ... See full document
8
On the meromorphic solutions of some linear difference equations
... (.) (or (.)) by (.) (or (.)), we can prove Theorem .. Proof of Theorem . Let f ( ≡ ) be a meromorphic solution of (.). Suppose that σ (f ) < σ + , then by Lemma ., for any given ε ( < ε ... See full document
12
On the periodic nature of some max type difference equations
... difference equations. In [5, 6, 8] some global convergence results were established which can be applied to nonlinear dif- ference equations in proving that every solution of these ... See full document
13
Some results on q difference equations
... where the right-hand side is rational in both arguments, has been widely studied during the last decades; see, e.g., [–]. Gundersen et al. [] considered the order of growth of mero- morphic solutions of (.), from ... See full document
11
On a System of Second Order Nonlinear Difference Equations
... [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
8
An asymptotic result for some delay difference equations with continuous variable
... any solution, the limit of a specific integral transformation of it, which depends on a suitable positive root of the characteristic equation, exists as a real number and it is given explicitly in terms of the ... See full document
10
On some classes of difference equations of infinite order
... Difference equations of finite order arise very often in various problems in mathemat- ics and applied sciences, for example in mathematical physics and ...such equations is very full for equations ... See full document
9
Global behavior of the solutions of some difference equations
... rational difference equations of a higher order is quite challenging and rewarding, and the results about these equations offer prototypes towards the development of the basic theory of the global ... See full document
16
Up to date mathematical models lines of development of information technologies in the field of numerical methods of structures strength calculations
... There is an extensive scope of functions, in which structural models are used with a great number of degrees of freedom. It increases time of numerical calculation as a result of exponential dependence on the number of ... See full document
11
Some Basic Difference Equations of Schrödinger Boundary Value Problems
... Let us make first some more general remarks on the special type of polynomials 2.60 we are considering. In literature, see, for instance, the internet reference to the Koekoek-Swarttouw online report on orthogonal ... See full document
22
Representations of general solutions to some classes of nonlinear difference equations
... Here we explain how a representation formula for solutions to a general equation, which includes that in (3), can be obtained in an elegant way. Then we show that the choice of the Fibonacci sequence is, in fact, an ... See full document
21
Square Difference Labeling of Some Special Graphs
... A dynamic survey on graph labeling is regularly updated by Gallian [2]. K. Manimekalai and K. Thirusangu [4] investigated pair sum labeling of generalized theta graph and subdivision of the edges of the star. E. ... See full document
6
On a sign-changing solution for some fractional differential equations
... differential equations have gained much importance and attention due to the fact that they have been proved to be valuable tools in the modeling of many phe- nomena in engineering and sciences such as physics, ... See full document
8
Chaos, control, and synchronization in some fractional order difference equations
... reviews some important theory related to fractional discrete calcu- lus, including the necessary notation and notes on the stability of linear fractional ... See full document
23
Growth of the solutions of some q difference differential equations
... Recently, there were many results on meromorphic solutions of complex functional equations (see [–]). In , Barnett et al. [] firstly established an analog of the log- arithmic derivative lemma on ... See full document
12
Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations
... where R ( z , w ) is irreducible and rational in w and meromorphic in z . This is a natural idea which comes from the topic on the growth, value distribution and unicity on the meromorphic solutions to difference ... See full document
8
On the solutions of some nonlinear systems of difference equations
... obtains a system which is equivalent to the case with some other parameters. Camouzis et al. arrived at a list of non-equivalent systems that should be focused on. They list such systems as pairs k, l, where k ... See full document
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