numerical solution second order differential equation matlab
Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
Ngày tải lên :
19/02/2014, 22:20
... Y
Δ
achieves
an order γ of strong convergence, then it also achieves at least an order β = γ
of weak convergence. We emphasize that the weak order obtained above is
usually not sharp and, thus, the order ... only
require numerical recipes.
Together with Nicola Bruti-Liberati we had for several years planned a
book to follow on the book with Peter Kloeden on the Numerical Solution of
Stochastic Differential Equations”, ... weighted index
ODE ordinary differential equation
SDE stochastic differential equation
PDE partial differential equation
PIDE partial integro differential equation
I
ν
(·) modified Bessel function...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
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20/06/2014, 22:20
... methods when we solve super-
linear differential equations such as elliptic problems, Dirac equations, Hamiltonian
systems, wave equations, and Schrödinger equations.
Theorem 3.2. Assume that ... (1986)
doi:10.1186/1687-2770-2011-33
Cite this article as: Zhang et al.: Infinitely many periodic solutions for some second- order differential systems
with p(t)-Laplacian. Boundary Value Problems 2011 2011:33.
Submit ... 2011:33
http://www.boundaryvalueproblems.com/content/2011/1/33
Page 10 of 15
RESEARC H Open Access
Infinitely many periodic solutions for some
second- order differential systems with p(t)-
Laplacian
Liang Zhang, Xian Hua Tang
*
and Jing...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
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21/06/2014, 02:20
... distribution
and trace formula of a second order operator-
differential equation
Nigar Mahar Aslanova
1,2
Correspondence: nigar.
aslanova@yahoo.com
1
Department of Differential
Equation, Institute of Mathematics
and ... problems for differential- operator equations. Nauk Dumka, Kiev, 284
(1984) (Russian).
31. Yakubov, S, Yakubov, Ya: Differential- Operator Equations Ordinary and Partial Differential Equations. Chapman ... simple identity for eigenvalue of second order differential operator. DAN SSSR.
88(4), 593–596 (1953)
19. Aslanova, NM: Trace formula for Sturm-Liouville operator equation. Proc Math Mech Natl Acad...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
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21/06/2014, 05:20
... boundary value problem of third -order
differential equations,” Mathematica Slovaca, vol. 60, no. 4, pp. 485–494, 2010.
4 Y. Sun, “Positive solutions for third -order three-point nonhomogeneous ... “Third 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 ... 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 third -order two-point...
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Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
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21/06/2014, 20:20
... Difference Equations
Volume 2009, Article ID 143175, 14 pages
doi:10.1155/2009/143175
Research Article
On the Spectrum of Almost Periodic Solution of
Second- Order Neutral Delay Differential Equations
with ... contradiction. The claim follows.
14 Advances in Difference Equations
12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with
piecewise constant argument,” Nonlinear ... periodic differential equations and almost periodic flows,” Journal of
Differential Equations, vol. 5, no. 1, pp. 167–181, 1969.
18 R. Yuan, “Pseudo-almost periodic solutions of second- order neutral...
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ordinary and partial differential equation routines in matlab - h.j. lee & w.e. schiesser
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08/04/2014, 10:27
... and modified Euler methods,
Equation 1.28 and Equations 1.30. The analytical solution, Equation 1.5, can
be used to calculate the exact errors in the numerical solutions.
Equation 1.3 models the ... 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...
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
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20/06/2014, 22:20
... otherwise, the solution is said to be
nontrivial.
If the solution is a nontrivial solution, then we can further divide the solution into two
cases: non-oscillatory solution and oscillatory solution. ... kind of second- order
rational difference equation. With the change of the initial values, we find the
successive lengths of positive and negative semicycles for oscillatory solutions of this
equation, ... non-oscillatory solutions of Equation (1.1) with x
-
1
, x
0
ẻ (0, 1), which must be eventually negative. There do not e xist eventua lly positive
non-oscillatory solutions of Equation (1.1).
Proof....
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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
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21/06/2014, 05:20
... in 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 ... preliminaries for discussing the existence of positive solutions
of boundary value problem 1.5.
Advances in Difference Equations 5
Therefore, the unique solution of BVP 2.1 is
x
t
−
1
Γ
α
t
0
t ... 710–719, 2010.
15 S. Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential
equations,” Electronic Journal of Differential Equations, no. 36, pp. 1–12, 2006.
16...
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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
... of maximal and minimal solutions for 1.2.
Definition 4.1. Let mt be a solution of 1.2 in 0, 1, then mt is said to be a maximal solution
of 1.2, if for every solution ut of 1.2 ... problem for a second- order differential equation with fractional
derivatives in the lower terms,” Differentsial’nye Uravneniya, vol. 18, no. 2, pp. 341–342, 1982.
6 S. Zhang, “Existence of solution ... IVPs,”
Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 3, pp. 674–684, 2009.
24 Y. Chen and H L. An, Numerical solutions of coupled Burgers equations with time- and space-
fractional...
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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
... properly cited.
This paper deals with obtaining a numerical method in order to approximate the solution of
the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach,
a ... integro-
differential equations with weakly singular kernels,” BIT, vol. 41, no. 5, pp. 891–900, 2001.
7 H. Brunner and P. J. van der Houwen, The Numerical Solution of Volterra Equations, vol. 3 ... Gal
´
an, and M. C. Serrano P
´
erez,
“Analytical techniques for a numerical solution of the linear Volterra integral equation of the second
kind,” Abstract and Applied Analysis, vol. 2009, Article...
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báo cáo hóa học:" Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems" pdf
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21/06/2014, 11:20
... has
the second solution at λ, μ. By the definition of O, there exists ε>0 such that λ, μ ∈O
ε,1
∪Γ
ε
.
That is 4.1 has a positive solution at λ, μ. So let u
ε
,v
ε
be a positive solution ... pages
doi:10.1155/2011/212980
Research Article
Multiple Positive Solutions of a Singular
Emden-Fowler Type Problem for Second- Order
Impulsive Differential Systems
Eun Kyoung Lee and Yong-Hoon Lee
Department ... and multiplicity of positive solutions of a singular boundary
value problem for second- order differential systems with impulse effects. By using the upper and
lower solutions method and fixed point...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
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21/06/2014, 16:20
... nonnegative solutions for second order impulsive
differential equations,” Applied Mathematics and Computation, vol. 114, no. 1, pp. 51–59, 2000.
9 B. Liu and J. Yu, “Existence of solution of ... Problems
11 E. Lee and Y. Lee, “Multiple positive solutions of singular two point boundary value problems for
second order impulsive differential equations,” Applied Mathematics and Computation, ... 64–82, 2009.
14 M. Feng and D. Xie, “Multiple positive solutions of multi-point boundary value problem for second-
order impulsive differential equations,” Journal of Computational and Applied Mathematics,...
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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
... positive solutions of nth order m-point boundary
value problem,” Applied Mathematics and Computation, vol. 182, no. 2, pp. 1231–1239, 2006.
27 J. Yang and Z. Wei, “Positive solutions of nth order ... differential equations,” Applied Mathematics Letters, vol. 21, no. 8, pp. 828–834, 2008.
10 B. Ahmad and J. J. Nieto, “Existence of solutions for nonlocal boundary value problems of higher-
order ... and E. Mboumi, “Positive solutions of a boundary value problem for a nonlinear
fractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations, vol.
2008, no....
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