RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL DIFFERENCE EQUATION OF SECOND ORDER ˇ ´ ´ S doc
RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL DIFFERENCE EQUATION OF SECOND ORDER ˇ ´ ´ S. doc
... condition
C
=
B
2
1+
√
2
(2.6)
RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL
DIFFERENCE EQUATION OF SECOND ORDER
S. KALABU
ˇ
SI
´
C AND M. R. S. KULENOVI
´
C
Received 13 August 2003 and in revised form 7 October ... Regions for the asymptotic behavior of solutions of (1.3).
Figure 3.1 visualizes the regions for the different asymptotic behavior o...
Báo cáo hóa học: " Dynamic behavior of a nonlinear rational difference equation and generalization" ppt
... this way solving a class of general equation.
The rest of this paper proceeds as follows. In Sect. 2, we introduce some definitions
and preliminary lemmas. Section 3 contains the main results ... proofs. In Sect.
4, we prove the stability for generalized rational difference equations and present our
conjectures for similar equations.
2 Preliminaries
In this section, we introdu ce so...
Báo cáo hóa học: "Dynamics of a two-dimensional system of rational difference equations of Leslie–Gower type" doc
... 3, which
asked for a description of the global dynamics of some rational systems of difference
equations. In notation used to label systems of linear fractional difference equations
Kalabušić ... next section, we present some general results about competitive systems in the
plane. Section 3 contains some basic facts such as the non-existence of period-two
solution of System...
Báo cáo hóa học: " Qualitative behavior of a rational difference equation y = py++y yy" pdf
... attractivity in a rational recursive sequence. Dyn Syst Appl 2002, 3(11):339-345.
5. Kulenovic MRS, Ladas G: Dynamics of Second Order Rational Difference Equations with Open Problems and
Conjectures. Chapman ... every solution of
Equation 5 converges to
¯
x
.
The main results and their proofs
In this section, we investigate the local stability character of the equilibrium po...
Báo cáo hóa học: " Research Article Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional Difference Equation with p-Laplacian Operator" doc
... positive solution and two positive solutions.
Copyright © 2007 S. J. Yang et al. This is an open access article distributed under the Cre-
ative Commons Attribution License, which permits unrestricted ... well posedness of the BVP (1.6), since the
function f depends on the terms x
t
and x(t).
The case α
0
= 0 must be treated separately, since in this case, the BVP (1.6)isnotwell
posed. I...
Báo cáo hóa học: "GLOBAL BEHAVIOR OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION" doc
... some difference equations, although their forms (or expressions) look very simple,
it is extremely difficult to understand thoroughly the global behaviors of their solutions.
Accordingly, one is ... (1.5)when
(i
0
,i
1
,i
2
) = (0,1,3).
2. Properties of positive solutions of (1.7)
In this section, we will study properties of positive solutions of (1.7). Since
P
k
x
n i
0
,x
n i...
Báo cáo hóa học: " Research Article An Algorithm for Detection of DVB-T Signals Based on Their Second-Order Statistics" doc
... transmitter and
the receiver is a noiseless Gaussian channel. This assumption
is of course unrealistic; in the next section, we will use these
first results to provide a study on the impact of ... resources has given rise to many contribu-
tions. These contributions can be sorted in two classes: the
one addressing the issue of identifying unused spectral re-
sources (the term of opport...
Báo cáo hóa học: "Research Article On a Conjecture for a Higher-Order Rational Difference Equation" ppt
... rational
equations,” Rostocker Mathematisches Kolloquium, no. 59, pp. 41–49, 2005.
12 S. Stevi
´
c, “Global stability and asymptotics of some classes of rational difference equations,” Journal
of Mathematical ... particular cases of 1.2 had been studied previously by Li in 6, 7,byusing
semicycle analysis similar to that in 8. The problem concerning periodicity of sem...
Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations" pptx
... solutions of a class of difference equations systems. Demonstratio
Mathematica. 41(1), :109–122 (2008)
32. Elsayed, EM: On the solutions of a rational system of difference equations. Fasciculi ... second- order system of difference equations. Discrete Dyn Nat Soc
2008, 12 (2008). (Article ID 860152)
11. Irićanin, B, Stević, S: Some systems of nonlinear difference...
Từ khóa:
- application of second order differential equation in real life
- solving systems of second order differential equations in matlab
- applications of second order differential equations to real world systems
- system of second order differential equations mathematica
- the application of second order differential equation
- applications of second order differential equations in physics
- solving system of second order linear differential equations
- applications of second order differential equations ppt
- applications of second order differential equations in economics