homogeneous linear differential equation with constant coefficients examples
Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
Ngày tải lên :
21/06/2014, 05:20
... Difference Equations
Volume 2011, Article ID 546038, 14 pages
doi:10.1155/2011/546038
Research Article
The Existence of Positive Solution to
a Nonlinear Fractional Differential Equation
with Integral ... for
nonlinear fractional differential equations,” Computers & Mathematics with Applications, vol. 59, no. 3,
pp. 1363–1375, 2010.
21 S. Zhang, “The existence of a positive solution for a nonlinear ... Differential Equations, no. 36, pp. 1–12, 2006.
16 M. Benchohra, S. Hamani, and S. K. Ntouyas, “Boundary value problems for differential equations
with fractional order and nonlocal conditions,” Nonlinear...
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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
... Illustrative examples are shown and comparisons with known
results are given.
1. Introduction
This paper will provide estimates of solutions of linear systems of neutral differential
equations with constant ... pages
doi:10.1155/2010/956121
Research Article
Exponential Stability and Estimation of Solutions
of Linear Differential Systems of Neutral Type with
Constant Coefficients
J. Ba
ˇ
stinec,
1
J. Dibl
´
ık,
1, 2
D. Ya. Khusainov,
3
and ... properly cited.
This paper investigates the exponential-type stability of linear neutral delay differential systems
with constant coefficients using Lyapunov-Krasovskii type functionals, more general...
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differential equations with linear algebra nov 2009
Ngày tải lên :
11/06/2014, 07:16
... solutions
to linear differential equations and systems of equations exemplify
important ideas in linear algebra, and how linear algebra often answers
key questions regarding differential equations.
ã ... general solutions to systems of linear differential
equations or higher order linear differential equations.
Over the past decade or two, first-order differential equations have become
a standard ... encounter a handful of examples on linear
differential equations that foreshadow part of the role of linear algebra in the
field of differential equations. The goal of the chapter on linear algebra is...
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báo cáo hóa học:" Research Article Complete Asymptotic and Bifurcation Analysis for a Difference Equation with Piecewise Constant Control" potx
Ngày tải lên :
21/06/2014, 11:20
... model at hand.
Indeed, we are dealing with a dynamical system with piecewise constant nonlinear-
lities see e.g., 2–6, and the usual linear and continuity arguments cannot be applied to
our 1.3. ... Difference Equations
Volume 2010, Article ID 542073, 13 pages
doi:10.1155/2010/542073
Research Article
Complete Asymptotic and Bifurcation
Analysis for a Difference Equation with
Piecewise Constant ... difference equations with periodic
coefficients and nonlinear control functions,” Discrete Dynamics in Nature and Society, vol. 2008, Article
ID 179589, 21 pages, 2008.
Advances in Difference Equations...
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Tài liệu Partial Differential Equation Toolbox pdf
Ngày tải lên :
26/01/2014, 02:20
... . .
4-28
Fast Solution of Poisson’s Equation
. . . . . . . . . . . . . . . . . . . .
4-29
Partial Differential Equation
Toolbox
For Use with MATLABđ
Users Guide
Computer ...
pdeeig.
ãIf the coefficients c, a, f, q, or g are functions of u, the PDE is called nonlinear
and FEM yields a nonlinear system K(U) U= F(U). You can use iterative
methods for solving the nonlinear ... eigenvalue problem is a homogeneous problem, i.e., g = 0,
r = 0.) In the nonlinear case, the coefficients, g, q, h, and r can depend on u, and
for the hyperbolic and parabolic PDE, the coefficients can...
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Tài liệu 02 Ordinary Linear Differential and Difference Equations docx
Ngày tải lên :
27/01/2014, 03:20
... known as linear time-
invariant (LTI) systems. In this chapter we shall deal exclusively with linear differential equations
with constant coefficients. Certain other forms of differential equations ... Solution
ã
MethodofConvolution
References
2.1 Differential Equations
Afunctioncontainingvariablesandtheirderivativesiscalledadifferentialex pression,andanequation
involvingdifferentialexpressionsiscalledadifferentialequation. Adifferentialequationisanordinary
differential ... (a
i
) are constants, the
equation is linear with constant coefficients. Many engineering (as well as nonengineering) systems
can be modeled by these equations. Systems modeled by these equations...
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Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
Ngày tải lên :
19/02/2014, 22:20
... N = {N
t
,t≥ 0} with intensity λ>0
is a piecewise constant process with stationary independent increments with
initial value N
0
=0such that N
t
− N
s
is Poisson distributed with intensity
λ
t−s
, ... differential equation
SDE stochastic differential equation
PDE partial differential equation
PIDE partial integro differential equation
I
ν
(·) modified Bessel function of the first kind with index
ν
K
λ
(·) ... quantitative analysts and others with a more technical back-
ground in mathematical and quantitative methods who are interested in
applying stochastic differential equations with jumps, and in implement-
ing...
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Đề tài "Annals of Mathematics Lehmer’s problem for polynomials with odd coefficients " pptx
Ngày tải lên :
15/03/2014, 09:20
... mjm@member.ams.org
LEHMER’S PROBLEM FOR POLYNOMIALS WITH ODD COEFFICIENTS
361
We now show that the constant in Theorem 5.1 for f ∈D
m
cannot be re-
placed with any number larger than log(2m−1). We first ... p, then r | n.
Proof. Suppose f ∈D
p
with p prime. Write n = p
k
m with p m.By
Lemma 2.1, we have
(x − 1)f(x) ≡
d|m
Φ
p
k
d
(x)modp.(2.1)
Write r = p
l
s with p s.Ifl = 0, then in view of ... determining if a given polynomial f
with degree d divides a polynomial F in D
p
with the same measure: Construct
all possible products of cyclotomic polynomials with degree d, and test if any of
these...
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