linear difference equations with constant coefficients
Báo cáo hóa học: "A REMARK ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS" pdf
Ngày tải lên :
22/06/2014, 22:20
... ON kTH-ORDER LINEAR FUNCTIONAL
EQUATIONS WITH CONSTANT COEFFICIENTS
JITKA LAITOCHOV
´
A
Received 30 January 2006; Accepted 18 May 2006
Abel functional equations are associated to a linear homogeneous ... functional equation, and linear homogeneous functional equa-
tion in S with constant coefficients. T he classical theory of linear homogeneous functional
and difference equations is obtained as ... of the form
f
= λ
α(x)
, (3.3)
where α satisfies Abel equation (3.1).
Linear system (3.2)isalineardifference equation with constant coefficients of the
form
a
k
f (x + k)+a
k−1
f (x + k − 1) + ···+...
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Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" pot
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22/06/2014, 22:20
... −|ε|/ε
0
, (2.19)
with the chosen norm, we obtain (2.5).
3. Comparison with singular perturbation method
In this section, we consider a right end perturbation [12]. We are concerned with the
boundary ... y
(0)
k
,0≤ k ≤ N − n − m, can be computed without any knowledge of the
boundary conditions y
N−k
= β
k
,0≤ k ≤ m − 1. By analogy with the case of differential
equations, we can say that there are m ... compared with the singular perturbation method. We consider a right end
perturbation (small parameters are situated on the right), and we deduce the results from
Section 2. The comparison with the...
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Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt
Ngày tải lên :
22/06/2014, 22:20
... motivation of our investigation goes
back to [10] dealing with the linear system of differential equations with constant coeffi-
cients and constant delay. One of the systems considered has the form
˙
x(t)
= ... for example, in the recent papers [2–9, 11–13].
REPRESENTATION OF SOLUTIONS OF LINEAR
DISCRETE SYSTEMS WITH CONSTANT
COEFFICIENTS AND PURE DELAY
J. DIBL
´
IK AND D. YA. KHUSAINOV
Received 16 January ... develop a method for construction of solutions
of linear discrete systems with constant coefficients and w ith pure delay. Solutions are
expressed with the aid of a special function called the discrete...
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Báo cáo " Stability Radii for Difference Equations with Time-varying Coefficients " ppt
Ngày tải lên :
22/03/2014, 11:20
... Vietnam
Received 10 August 2010
Abstract. This paper deals with a formula of stability radii for an linear difference equation
(LDEs for short) with the coefficients varying in time under structured parameter ... Journal of Science, Mathematics - Physics 26 (2010) 175-184
Stability Radii for Difference Equations with Time-varying
Coefficients
Le Hong Lan*
Department of Basic Sciences, University of Transport ... discrete version of
a previous result for time-varying ordinary differential equations [1].
Keywords: Robust stability, Linear difference equation, Input-output operator, Stability ra-
dius
1. Introduction
Many...
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Báo cáo hóa học: "ON LINEAR VOLTERRA DIFFERENCE EQUATIONS WITH INFINITE DELAY" pdf
Ngày tải lên :
22/06/2014, 22:20
... the behavior of solutions of linear neutral Volterra difference equations
with infinite delay, and, especially, of linear (non-neutral) Volterra difference equations
with infinite delay. Our results ... delay difference equations, for the behavior
of the solutions of certain linear delay difference equations with continuous var iable as
well as for the behavior of solutions of a linear Volterra ... solutions of linear neutral integrodifferential equations with unbounded de-
lay, and, especially, of linear (non-neutral) integrodifferential equations with unbounded
delay.
Our purpose in this paper...
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Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf
Ngày tải lên :
21/06/2014, 03:20
... with aftereffect. In: Translations of Mathematical Monographs, vol.
157,American Mathematical Society, Providence, RI (1996)
2. Xu, DY: Asymptotic behavior of nonlinear difference equations with ... Conclusion
In this paper, we consider a class of impulsive difference equations with distributed
delays. By establishing an impulsive delay difference inequality and using the properties
of “r-cone” ... in terms of Theorem 3.1.
Remark 3.3.IfH
k
(x)=x, then Equation 2 becomes difference equations with distrib-
uted delays without impulses in vector form
x(m +1)=Ax(m)+Bf (x(m)) + C
∞
k=1
μ
k
g...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
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21/06/2014, 11:20
... in Difference Equations
Volume 2010, Article ID 594783, 19 pages
doi:10.1155/2010/594783
Research Article
Error Bounds for Asymptotic Solutions of
Second-Order Linear Difference Equations II:
The ... we
consider a nonlinear first-order difference equation.
2 Advances in Difference Equations
Unlike t he method used by Olver 4 to treat asymptotic solutions of second-order
linear differential equations, ... is
a constant. And ln satisfies C
l
sup
n
{n
2
|ln|} being a constant; here we have made use of
the definitions of α
i
,ρ
i
in 1.5, 1.7,and2p − q 1.
Equation 3.8 is a second-order linear...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
Ngày tải lên :
21/06/2014, 11:20
... Regularly Varying Solutions of H alf -Linear Difference Equations
In this short section we show how the results of Section 3 can be extended to half -linear
difference equations of the form
Δ
Φ
Δy
k
... a
second-order linear difference equation with arbitrary sign coefficient are established. Relations
with the so-called
M-classification are also analyzed and a generalization of the results to the half-
linear ... order linear difference equations, ”
Fasciculi Mathematici, no. 31, pp. 71–89, 2001.
9 M. Cecchi, Z. Do
ˇ
sl
´
a, and M. Marini, “Positive decreasing solutions of quasi -linear difference
equations, ”...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 20:20
... 1.2 with
α 0, and λ
j
−K0 ≤ j ≤ N −1 denotes the eigenvalue of the problem 1.1 and 1.2 with
α π. We now present the main results of this paper.
Advances in Difference Equations 13
linearly ... Corporation
Advances in Difference Equations
Volume 2009, Article ID 347291, 18 pages
doi:10.1155/2009/347291
Research Article
Inequalities among Eigenvalues of
Second-Order Difference Equations with
General Coupled ... N is even, there exists a constant η
0
>μ
N−2
such that fη
0
≥ 2, which, together with Proposition 3.6, implies that 1.1 and 1.2 with
Advances in Difference Equations 17
α 0; α
/
...
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Báo cáo hoa học: " Research Article Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variable" docx
Ngày tải lên :
21/06/2014, 20:20
... of difference equations, specially, of difference equations with continuous
variables. In the recent years, the asymptotic behavior and other behavior of delay difference
equations with continuous ... networks difference equation with delays and impulses,” Neural Networks. In press.
11 Q. Zhang, “On a linear delay difference equation with impulses,” Annals of Differential Equations, vol.
18, no. ... impulsive delay difference equations with continuous
variables,” Computers & Mathematics with Applications, vol. 55, no. 12, pp. 2732–2739, 2008.
Advances in Difference Equations 3
where xtx
1
t,...
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Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... Difference Equations
18 O. Do
ˇ
sl
´
y and S. Fi
ˇ
snarov
´
a, “Linearized Riccati technique and non-oscillation criteria for half -linear
difference equations, ” Advances in Difference Equations, ... half -linear second order difference equations, ” Journal
of Difference Equations and Applications, vol. 9, no. 1, pp. 49–61, 2003.
8 M. Cecchi, Z. Do
ˇ
sl
´
a, and M. Marini, “Nonoscillatory half -linear ... of solutions of
half -linear difference equations, ” submitted.
10 M. Cecchi, Z. Do
ˇ
sl
´
a, M. Marini, and I. Vrko
ˇ
c, “Asymptotic properties for half -linear difference
equations, ” Mathematica...
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Báo cáo hóa học: "Research Article Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations" pdf
Ngày tải lên :
22/06/2014, 11:20
... Corporation
Advances in Difference Equations
Volume 2008, Article ID 718408, 21 pages
doi:10.1155/2008/718408
Research Article
Stability of Equilibrium Points of Fractional
Difference Equations with Stochastic ... stochastic
linear difference equations, ” Applied Mathematics Letters, vol. 10, no. 3, pp. 111–115, 1997.
47 B. Paternoster and L. Shaikhet, “About stability of nonlinear stochastic difference equations, ” ... M. Nurkanovi
´
c, “Asymptotic behavior of a competitive system of linear
fractional difference equations, ” Advances in Difference Equations, vol. 2006, Article ID 19756, 13 pages,
2006.
27 M. R....
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Báo cáo hóa học: "Research Article Exponential Stability of Difference Equations with Several Delays: Recursive Approach" docx
Ngày tải lên :
22/06/2014, 11:20
... 1.
Now let us assume that all coefficients are proportional. Such equations arise as
linear approximations of nonlinear difference equations in mathematical biology. Then a
straightforward computation ... Difference Equations and Applications, vol. 1, no. 2, pp. 151–161, 1995.
10 J. S. Yu, “Asymptotic stability for a linear difference equation with variable delay,” Computers &
Mathematics with ... of
difference equations, ” Functional Differential Equations
, vol. 15, no. 3-4, pp. 239–248, 2008.
13 H. Matsunaga, T. Hara, and S. Sakata, “Global attractivity for a nonlinear difference equation with
variable...
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