linear systems of equations matrices calculator
Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
Ngày tải lên :
14/02/2014, 17:20
... equal
to I. The proof of uniqueness is complete.
To prove the existence we note, first of all, that it suffices to provide a
proof if one of the κ
i
’s is equal to ±1 and one of the δ
j
’s is equal ... solutions of
isomonodromy problems for such systems of difference equations. In the case
of one-interval gap probability this has been done (in a different language) in
[Bor], [BB]. One example of the ... ALEXEI BORODIN
Most of the results of the present paper can be carried over to the case
of q-difference equations of the form Y (qz)=A(z)Y (z). The q-difference
Schlesinger equations are, cf. (3)–(6),
(3q)
(4q)
(5q)
(6q)
B
i
(...
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Enclosing solutions of systems of equations
Ngày tải lên :
12/01/2014, 22:20
... figure is reduced for the visualization.
Enclosing solutions of systems of equations
involving ODE
Aurelien Lejeune
National Institute of Informatics
2-1-2 Hitotsubashi, Chyoda-ku
Tokyo 101-8430 ... part.
Mots-clefs : syst`emes hybrides, equations differentielles ordinaires, anal-
yse par intervalles.
References
1. Hansen, E. and Sengupta, S.: Bounding solutions of systems of equations using
interval ... Solving of Hybrid
Constraint Systems. 3rd IFAC Conference on Analysis and Design of Hybrid Systems
(ADHS09) (to appear)
10. Kăuhn, W.: Rigorously Computed Orbits of Dynamical Systems Without the Wrap-
ping...
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Báo cáo hóa học: " Research Article Nonexpansive Matrices with Applications to Solutions of Linear Systems by Fixed Point Iterations Teck-Cheong Lim" docx
Ngày tải lên :
21/06/2014, 20:20
... solutions of a system of linear equations.
Throughout this paper, R will denote the set of real numbers, C the set of complex numbers,
and M
n
the complex vector space of complex n ì n matrices. A function ... λ
v
3
18
which approaches to ∞ as k →∞. T his completes the proof.
We now consider applications of preceding theorems to approximation of solution of
a linear system Ax b, where A ∈ M
n
and b a given vector ... index of the eigenvalue 0 of Q
−1
A is the
index of eigenvalue 1 of B I − Q
−1
A.ThusbyLemma 5, C
n
Q
−1
RA ⊕ NA. For every
vector v ∈ C
n
,letv
r
and v
n
denote the component of v...
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systems of linear inequalities (hệ bất phương trình tuyến tính) bởi a. s. solodovnikov
Ngày tải lên :
08/04/2014, 10:42
... inequalities is in
the
long
run
reduced to
the
solution
of a number
of
systems
of
linear equations.
We shall
regard
the
solution
of a system of linear
equations
as
something
simple, as an
elementary
operation,
and
shall
not
be
I ... of a System in
Three
Unknowns
44
7 Systems of
Linear
Inequalities in Any
Number
of
Unknowns
52
8.
The
Solution
of a System of
Linear
Inequalities
'by
Successive
Reduction of
the
Number
of
Unknowns
57
9.
Incompatible
Systems ... Visualization of Systems of
Linear
Inequalities In
Two
or
Three
" .
Unknowns
17
I -
3.
The
Convex
Hull of a System of
Points
22
4. A Convex
Polyhedral
Cone
25
5.
The
Feasible
Region of a System of
Linear
Inequalities...
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Báo cáo hóa học: " Solving systems of nonlinear matrix equations involving Lipshitzian mappings" pdf
Ngày tải lên :
20/06/2014, 22:20
... solving
different classes of systems of nonlinear matrix equations involving Lipshitzian
mappings.
2000 Mathematics Subject Classifications: 15A24; 65H05.
Keywords: nonlinear matrix equations, Lipshitzian ... classes of nonlinear matrix equations (see [8-21]). In this study, we consider
the following problem: Find (X
1
, X
2
, ,X
m
) ẻ (P(n))
m
solution to the following system
of nonlinear matrix equations:
X
r
i
i
= ... for the
study of solutions to systems of nonlinear matrix equations involving contractive
mappings.
We first review the Thompson metric on the open convex cone P(n)(n ≥ 2), the set
of all nìn Hermitian...
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Báo cáo hóa học: " Existence results of Brezis-Browder type for systems of Fredholm integral equations" pot
Ngày tải lên :
20/06/2014, 22:20
... Constant-sign solutions of a system of Fredholm integral equations. Acta Appl
Math. 80,57–94 (2004)
7. Agarwal, RP, O’Regan, D, Wong, PJY: Eigenvalues of a system of Fredholm integral equations. Math ... Triple solutions of constant sign for a system of Fredholm integral equations.
Cubo. 6,1–45 (2004)
9. Agarwal, RP, O’Regan, D, Wong, PJY: Constant-sign solutions of a system of integral equations: ... this article as: Agarwal et al.: Existence results of Brezis-Browder type for systems of Fredholm integral
equations. Advances in Difference Equations 2011 2011:43.
Submit your manuscript to a...
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Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
Ngày tải lên :
20/06/2014, 22:20
... or tends to zero as t đ .
Proof. The proof of the corollary is similar to the proof of Corollary 3.3 and so it is
omitted.
From the above results on the oscillation of odd-order differential equation ... Oscillation of solutions to odd-order nonlinear neutral functional differential equations. Electron J
Diff Equ. 23,1–12 (2011)
15. Rath, RN, Padhy, LN, Misra, N: Oscillation of solutions of non -linear ... >
1
σ
0
+
p
0
γ
σ
0
τ
0
((n − 1)!)
γ
e
,
(2:13)
then every solution of (1.1) is oscillatory or tends to zero as t đ .
Proof. The proof of the corollary is similar to the proof of Corollary 2.8 and so it is
omitted.
Example...
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Báo cáo hóa học: " Research Article Systems of Quasilinear Parabolic Equations with Discontinuous Coefficients and Continuous Delays" docx
Ngày tải lên :
21/06/2014, 05:20
... use of Gronwall
inequality. Then, v ≤ u in
D
T
, and the proof of part i of the lemma is completed. The similar
argument gives the proof of part ii of the lemma.
Advances in Difference Equations ... fund of Department of Education
of Sichuan Province 10ZC127 and the research fund of Sichuan College of Education
CJYKT09-024.
References
1 C. V. Pao, Nonlinear Parabolic and Elliptic Equations, ... the
principle of induction, we complete the proof of the lemma.
3. Uniform Estimates of {u
m
}, {u
m
}
To prove the existence of solutions to 1.1, in this section, we show the uniform estimates of
{
u
m
},...
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báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
Ngày tải lên :
21/06/2014, 11:20
... to the study of stability and estimates of solutions of 1.1.
2. Exponential Stability and Estimates of the Convergence of
Solutions to Stable Systems
First we give two definitions of stability ... vxx
T
Hx has been used to investigate the stability of systems 1.1 in 5see
6 as well. The stability of linear neutral systems of type 1.1,butwithdifferent delays h
1
and h
2
,isstudiedin1 ... also suggested for investigating the asymptotic stability of neutral nonlinear systems.
The investigation of nonlinear neutral delayed systems with two time dependent bounded
delays in 9 to...
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Báo cáo hóa học: " Research Article On the Solutions of Systems of Difference Equations" ppt
Ngày tải lên :
22/06/2014, 11:20
... been an increasing interest in the study of
qualitative analysis of rational difference equations and systems of difference equations.
Although difference equations are very simple in form, it is ... of lyness-type difference
equations, ” Advances in Difference Equations, vol. 2007, Article ID 31272, 13 pages, 2007.
12 B. Iri
´
canin and S. Stevi
´
c, “Some systems of nonlinear difference equations ... solutions of a system of two nonlinear
difference equations, ” Communications on Applied Nonlinear Analysis, vol. 5, no. 2, pp. 47–59, 1998.
10 G. Papaschinopoulos and C. J. Schinas, “Invariants for systems...
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Báo cáo hóa học: " Research Article Reducibility and Stability Results for Linear System of Difference Equations" potx
Ngày tải lên :
22/06/2014, 11:20
... reducibility of
1.1 into the form of 1.5 and then obtain asymptotic stability of the zero solution of 1.1.
2. Reducible systems
In this section, we give a theorem on the structure of the matrix ... Bohner
We first give a theorem on the reducibility of linear system of difference equations of the form
xn 1Anxn. Next, by the means of Floquet theory, we obtain some stability results.
Moreover, ... “Periodic solutions of nonlinear second-order difference equations, ”
Advances in Difference Equations, vol. 2005, no. 2, pp. 173–192, 2005.
3 S. N. Elaydi, An Introduction to Difference Equations, Undergraduate...
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Báo cáo hóa học: "Research Article Asymptotic Representation of the Solutions of Linear Volterra Difference Equations" pdf
Ngày tải lên :
22/06/2014, 11:20
... and D. W. Reynolds, “On exact convergence rates for solutions of linear
systems of Volterra difference equations, ” Journal of Difference Equations and Applications, vol. 12, no. 12,
pp. 1257–1275, ... 2004.
11 S. Bodine and D. A. Lutz, “On asymptotic equivalence of perturbed linear systems of differential and
difference equations, ” Journal of Mathematical Analysis and Applications, vol. 326, no. ... boundedness of solutions of difference
Volterra equations, ” Applied Mathematics Letters, vol. 16, no. 6, pp. 857–862, 2003.
18 Z. H. Li, “The asymptotic estimates of solutions of difference equations, ”...
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Báo cáo hóa học: " Research Article About K-Positivity Properties of Time-Invariant Linear Systems Subject to Point Delays" pdf
Ngày tải lên :
22/06/2014, 18:20
... subset of zero measure of
[
−h,0]; that is, it consists of a finite set of bounded discontinuities so that it is of
support of zero measure,
(3) ϕ
(3)
:[−h,0] → R
n
+
is either null or impulsive of ... controllability of positive systems, ”
Linear Algebra and Its Applications, vol. 94, pp. 35–53, 1987.
[23] V. G. Rumchev and D. J. G. James, “Controllability of positive linear discrete-time systems, ”
International ... the sets
of square real n -matrices and that of q-continuously differentiable square real
n-matrix functions on
R
+
.Realn -matrices and real n-matrix functions are also
in the sets of linear operators...
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Báo cáo hóa học: "ASYMPTOTIC BEHAVIOR OF A COMPETITIVE SYSTEM OF LINEAR FRACTIONAL DIFFERENCE EQUATIONS" docx
Ngày tải lên :
22/06/2014, 22:20
... fractional
system of difference equations, Radovi Matemati
ˇ
cki 11 (2002), no. 1, 59–78.
[12]
, Asymptotic behavior of a system of linear fractional difference equations, JournalofIn-
equalities ... which is impossible.
The proof of next result is similar to the proof of [2, Proposition 3.3] and it will be
omitted. This proof makes essential use of the nonexistence of prime period-two solution
that ... is a solution of (1.14), then
lim
n→∞
n
x
n
=
λ
i
(A)
, i = 1, ,k, (1.17)
where λ
i
(A) denotes one of the eigenvalues of the matrix A.
2.Proofofconjecture
Proof of Conjecture...
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