linear difference equations with discrete transforms method
Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" pot
Ngày tải lên :
22/06/2014, 22:20
... perturbation method applied to the open-loop discrete optimal
control problem, Optimal Control Applications & Methods 3 (1982), no. 2, 121–131.
[15] T. Sari and T. Zerizer, Perturbations for linear ... convergence of the
proposed iterative method. Section 3 is mainly devoted to validate the effectiveness of
our method, compared with the singular perturbation method. We consider a right end
perturbation ... comparison with the other formal method requires the analysis of its re-
sults. We conclude with Section 4.
2. Main result
2.1. Formal asymptotic solution. In this section, we develop a perturbation method...
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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 ... operator. The result is considered as an discrete version of
a previous result for time-varying ordinary differential equations [1].
Keywords: Robust stability, Linear difference equation, Input-output ... K
d
.
VNU 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...
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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
... 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 (x(m − k))
,
(24)
which contains many popular models such as discrete- time ... 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”...
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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
Ngày tải lên :
21/06/2014, 11:20
... 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, the method ... 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 ... of α
i
,ρ
i
in 1.5, 1.7,and2p − q 1.
Equation 3.8 is a second-order linear difference equation with two known linear
independent solutions. Its coefficients are quite similar to those in...
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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 ... 1.2 with α 0 or α π.
If fλ2 or −2 for some λ
/
μ
k
0 ≤ k ≤ N
s
,thenλ is a simple eigenvalue of 1.1 and 1.2 with
α 0 or α π and for every λ
/
μ
k
0 ≤ k ≤ N
s
,with 2...
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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
... difference equations with discrete variable have attracted considerable
attention. In particular, delay effect on the asymptotic behavior and other behaviors of
impulsive difference equations with discrete ... 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 ... 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 difference equations, ” Journal of Difference
Equations and Applications, vol. 7, no. 4, pp. 483–505, 2001.
5 P.
ˇ
Reh
´
ak, “Oscillation and nonoscillation criteria for second order linear ... 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...
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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, ” ... equivalent to the stability of the
equilibrium point of 2.1.
Together with nonlinear equation 2.2 we will consider and its linear part
z
n1
k
j0
γ
j
z
n−j
σz
n
ξ
n1
,γ
j
a
j
− b
j
x
λ...
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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
... and
relevant nonlinear equations has been an intensively developed area during the last two
decades.
Let us compare stability methods for delay differential equations and delay difference
equations. ... Many of the methods previously used for differential equations have also been
applied to difference equations. However, there are at least two methods which are specific
for difference equations. ... 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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Báo cáo hóa học: "DIFFERENCE EQUATIONS ON DISCRETE POLYNOMIAL HYPERGROUPS" doc
Ngày tải lên :
22/06/2014, 22:20
... applications.
However, linear difference equations with nonconstant coefficients present another im-
portant class of di fference equations with much less hig hly developed methods and theo-
ries. ... Corporation
Advances in Difference Equations
Volume 2006, Article ID 51427, Pages 1–10
DOI 10.1155/ADE/2006/51427
6Difference equations on discrete polynomial hypergroups
4. Difference equations with general translation
Let ... into hypergroup
language and technique, providing effective solution methods for a wide class of linear
difference equations with nonconstant coefficients.
Copyright © 2006
´
Agota Orosz. This is...
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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 ... solution 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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