linear differential equation practice problems
Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
Ngày tải lên :
21/06/2014, 05:20
... order linear Differential equations,” in Mathematics and Its Applications, Reidel,
Dordrecht, the Netherlands, 1987.
2 L J. Guo, J P. Sun, and Y H. Zhao, “Existence of positive solutions for nonlinear ... Al-Malki, “Nonlinear three-point third-order boundary value problems, ” Applied
Mathematics and Computation, vol. 190, no. 2, pp. 1168–1177, 2007.
11 S. Li, “Positive solutions of nonlinear singular ... max
t∈I
T
n
u
t
≤
M
n
t
n
n!
u
c
, 3.39
10 Boundary Value Problems
13 Z. Du, W. Ge, and X. Lin, “Existence of solutions for a class of third-order nonlinear boundary value
problems, ” Journal of Mathematical Analysis...
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Tài liệu Partial Differential Equation Toolbox pdf
Ngày tải lên :
26/01/2014, 02:20
...
ãTime-dependent problems are easy to implement in the FEM context. The
solution u(x,t) of the equation
can be approximated by . This yields a system of
ordinary differential equations (ODE) ... 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 system. The toolbox provides a nonlinear
solver called ...
mesh.
ãIn Solve mode, you can invoke and control the nonlinear and adaptive solver
for elliptic problems. For parabolic and hyperbolic PDE problems, you can
specify the initial values, and the...
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Tài liệu 02 Ordinary Linear Differential and Difference Equations docx
Ngày tải lên :
27/01/2014, 03:20
... Solution
ã
MethodofConvolution
References
2.1 Differential Equations
Afunctioncontainingvariablesandtheirderivativesiscalledadifferentialex pression,andanequation
involvingdifferentialexpressionsiscalledadifferentialequation. Adifferentialequationisanordinary
differential ... 2
Ordinary Linear Differential
and Difference Equations
B.P. Lathi
California State University, Sacramento
2.1 Differential Equations
Classical Solution
ã
MethodofConvolution
2.2 Difference Equations
Initial ... discussion of differential equations can be found in numerous texts on
the subject [1].
2.2 Difference Equations
Thedevelopmentofdifferenceequationsisparalleltothatofdifferentialequations. Weconsiderhere
only...
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galois theory of linear differential equations - m. van der put, m. singer
Ngày tải lên :
31/03/2014, 15:56
... of linear differential equations (which we shall refer to simply
as differential Galois theory) is the analogue for linear differential equations of
the classical Galois theory for polynomial equations. ... zero. A linear
differential equation is an equation of the form Y = AY where A is an n ì n
matrix with entries in k although sometimes we shall also consider scalar linear
differential equations ... order
two equations gives an indication how this classification could be used for linear
differential equations in characteristic 0. A more or less obvious observation
is that these linear differential equations...
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ordinary and partial differential equation routines in matlab - h.j. lee & w.e. schiesser
Ngày tải lên :
08/04/2014, 10:27
... constants.
Equation 1.3 is termed a first-order, linear, ordinary differential equation with
variable coefficients. These terms are explained below.
Term Explanation
Differential equation Equation ... exp(x) = e
x
. Equation 1.5 is easily verified as the solution to Equations
1.3 and 1.4 by substitution in these equations:
Terms in Substitution of Equation 1.5
Equations 1.3 and 1.4 in Equations ... of a single ODE, Equation 1.3, subject
to initial condition Equation 1.4, by the Euler and modified Euler methods,
Equation 1.28 and Equations 1.30. The analytical solution, Equation 1.5, can
be...
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báo cáo hóa học: " Existence and multiplicity of positive solutions for a nonlocal differential equation" docx
Ngày tải lên :
21/06/2014, 02:20
... positive solutions of singular nonlocal boundary value problems for systems of nonlinear
second-order ordinary differential equations. Nonlinear Anal. 70, 444–451 (2009). doi:10.1016/j.na.2007.12.014
4. ... the following
nonlocal equation with zero Dirichlet boundary condition
−a
⎛
⎝
1
0
|u(s)|
q
⎞
⎠
u
(t )=h(t)f (u(t))
,
when the nonlinearity f is a sublinear or superlinear function in a sense ... R
2
=
||
u
||
.
Wang et al. Boundary Value Problems 2011, 2011:5
http://www.boundaryvalueproblems.com/content/2011/1/5
Page 7 of 11
Then, Equation 12 holds.
Therefore, by Equations 10 and 12 and the first...
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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
... Nieto, “Existence results for nonlinear boundary value problems of fractional
integrodifferential equations with integral boundary conditions,” Boundary Value Problems, vol. 2009,
Article ID 708576, ... Advances in Difference Equations
14 D. Jiang and C. Yuan, “The positive properties of the Green function for Dirichlet-type boundary
value problems of nonlinear fractional differential equations and ... Nonlinear Analysis.
Theory, Methods & Applications, vol. 72, no. 2, pp. 710–719, 2010.
15 S. Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential
equations,”...
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Báo cáo hóa học: " Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation" potx
Ngày tải lên :
21/06/2014, 07:20
... Value Problems
Volume 2011, Article ID 297026, 12 pages
doi:10.1155/2011/297026
Research Article
Positive Solution of Singular Boundary
Value Problem for a Nonlinear Fractional
Differential Equation
Changyou ... 2006.
7 S. Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential
equations,” Electronic Journal of Differential Equations , vol. 36, pp. 1–12, 2006.
8 Z. B. Bai ... boundary value problems, ” Boundary Value
Problems, vol. 2009, Article ID 421310, 10 pages, 2009.
11 B. Ahmad and J. J. Nieto, “Existence results for nonlinear boundary value problems of fractional
integrodifferential...
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báo cáo hóa học:" Research Article Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation" doc
Ngày tải lên :
21/06/2014, 10:20
... the solution of the
nonlinear Volterra integro-differential equation, which generalizes that developed in 1.Let
us consider the nonlinear Volterra integro-differential equation
y
t
f
t, ... solution of
the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach,
a sequence of functions which approximate the solution of this type of equation, due to ... pages
doi:10.1155/2010/470149
Research Article
Biorthogonal Systems Approximating
the Solution of the Nonlinear Volterra
Integro -Differential Equation
M. I. Berenguer, A. I. Garralda-Guillem, and M. Ruiz Gal
´
an
Departamento...
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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
... Corporation
Boundary Value Problems
Volume 2010, Article ID 956121, 20 pages
doi:10.1155/2010/956121
Research Article
Exponential Stability and Estimation of Solutions
of Linear Differential Systems ... are given.
1. Introduction
This paper will provide estimates of solutions of linear systems of neutral differential
equations with constant coefficients and a constant delay:
˙x
t
D ˙x
t ... in the metric C
1
. Finally, from
Boundary Value Problems 3
Literature on the stability and estimation of solutions of neutral differential equations
is enormous. Tracing previous investigations...
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báo cáo hóa học:" Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type" docx
Ngày tải lên :
21/06/2014, 11:20
... bt a, b > 0, the equation involved in problem P
λ
is the stationary
analogue of the well-known equation proposed by Kirchhoff in 1.Thisisoneofthe
motivations why problems like P
λ
... papers, the nonlinearity f is again
satisfying suitable growth conditions at 0 and ∞. Finally, in 6, where the nonlinearity
t
s−1
is replaced by a more general hx, t and the nonlinearity f ... for a quasilinear elliptic equation of
Kirchhoff type,” Computers & Mathematics with Applications, vol. 49, no. 1, pp. 85–93, 2005.
4 A. Bensedik and M. Bouchekif, “On an elliptic equation...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
Ngày tải lên :
21/06/2014, 16:20
... of boundary value problems with integral boundary
conditions arise naturally in thermal conduction problems 15, semiconductor problems
16, hydrodynamic problems 17. Such problems include ... Corporation
Boundary Value Problems
Volume 2011, Article ID 456426, 19 pages
doi:10.1155/2011/456426
Research Article
Positive Solutions of nth-Order Nonlinear
Impulsive Differential Equation with Nonlocal
Boundary ... Nieto, “Existence results for nonlinear boundary value problems of fractional
integrodifferential equations with integral boundary conditions,” Boundary Value Problems, vol. 2009,
Article ID 708576,...
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Báo cáo sinh học: " Research Article New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions" pdf
Ngày tải lên :
21/06/2014, 16:20
... of the Green function for Dirichlet-type boundary
value problems of nonlinear fractional differential equations and its application,” Nonlinear Analysis:
Theory, Methods and Applications, vol. ... 2008.
20 S. Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential
equations,” Electronic Journal of Differential Equations, vol. 2006, pp. 1–12, 2006.
21 S. Zhang, ... theory
of boundary value problems for nonlinear fractional differential equations is still in the initial
stages and many aspects of this theory need to be explored.
Boundary Value Problems 13
where...
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báo cáo hóa học:" Positive solutions for boundary value problem for fractional differential equation with $p$-Laplacian operator" doc
Ngày tải lên :
21/06/2014, 17:20
... existence of solutions to boundary
value problems for fractional differential equation with p-Laplacian operator. In [24], the
authors investigated the nonlinear nonlocal problem
D
β
0+
(φ
p
(D
α
0+
u))(t) ... boundary value problem of nonlinear fractional differ-
ential equation. J. Math. Anal. Appl. 311, 495–505 (2005)
[35] Leggett, RW, Williams, LR: Multiple positive solutions of nonlinear operators on ordered
Banach ... = 0. It is a well-known
fact that the boundary value problems with Sturm–Liouville boundary value conditions
for integral order differential equations have important physical and applied background
and...
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