solution of second order differential equation in matlab
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
... Reports in
Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.
16 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, vol. 373 of
Mathematics ... contraction mapping principle
implies that
A
n
0
has a unique fixed point x
∗
in CI,andso
A has a unique fixed point
x
∗
in CI; by the definition of
A, A has a unique fixed point x
∗
in CI,thatis,x
∗
is ... existence of solutions for singular 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...
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Báo cáo hóa học: " Positive periodic solution of higher-order functional difference equation" ppt
Ngày tải lên :
20/06/2014, 22:20
... the
existence of a positive periodic solution to a class of higher -order functional
difference equations is established in this article. The result obtained in this article is
different from the existing ... 2011:56
http://www.advancesindifferenceequations.com/content/2011/1/56
Page 8 of 8
RESEARC H Open Access
Positive periodic solution of higher -order
functional difference equation
Mei-Lan Tang and Xin-Ge Liu
*
* ... divisor of m and ω. In fact, in most cases, m and ω do not satisfy such severe
constraint l = ω. In general, l ≤ ω. I n this article, we consider the following higher-
order functional difference equation
x(n...
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
Ngày tải lên :
20/06/2014, 22:20
... 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, ... class of second- order nonlinear difference
equation
Li Dongsheng
1*
, Zou Shuliang
1
and Liao Maoxin
2
* Correspondence: lds1010@sina.
com
1
School of Economics and
Management, University of South
China, ... convenience, we give some corresponding definitions.
Definition 1.1. A positive semicycle of a solution
{x
n
}
∞
n
=−
1
of Equation (1.1) consists of
astringofterms{x
r
, x
r+1
, , x
m
}, all greater...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
Ngày tải lên :
21/06/2014, 02:20
... 1. Hence, beginning with some k ,Equation
2.6 has exactly one positive root corresponding to the imaginary root of Equation 2.5.
Now, find the asymptotic of the imaginary roots of Equation 2.5. ... numerator in the vicinity of zero
is O(z
ν+1
), and the order of its denominator is O(z
ν
), the integral along the left part of
contour vanishes. Now, consider the integrals along the remaining three ... vec tor functions with values in H (see [30], p. 57) that vanish in the vicinity of
zero and are infinitely differentiable in the norm of H. Also, on
D (L
0
)
define the
operator
L
0
:
L
0
Y...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... contains,
in particular, the equation with principal part which coincides with the principal part
of the equation of minimal surfaces (1.7.13). The latter is also contained in the third
class of equations ... degenerate equations. We then establish local
estimates of the gradients of solutions of equations of the form (1) by combining the
use of certain methods characteristic of the technique of global ... priori
estimate of maxnivul breaks down into two steps: 1) obtaining maxaalvul in terms
of maxsljul, and 2) obtaining an estimate of maxr 1vul in terms of maxanlvul and
maxalul. The estimates of maxaulvul...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
Ngày tải lên :
20/06/2014, 21:20
... soon.
Lyapunov-type inequalities for a class of even -order differential equations
Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5
Qi-Ming Zhang (zhqm20082008@sina.com)
Xiaofei ... contributed to these interesting
2
Lyapunov-type inequalities for a class of
even -order differential equations
Qi-Ming Zhang
∗1
and Xiaofei He
2
1
College of Science, Hunan University of Technology, ... In view of the forms of the two inequalities (1.6) and (2.12), we can easily
find that inequality (2.12) is simpler than (1.6). Moreover, by using the method of induction,
we can verify that inequality...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
Ngày tải lên :
20/06/2014, 22:20
... .
proof of Theorem 3.1, system (1.1) has infinite solutions {u
k
}in
W
1,p
(
t
)
T
for ever y posi-
tive integer k such that ||u
k
||
đ +,ask đ ∞.TheproofofTheorem3.2is
complete.
Proof of Theorem ... W\B
r
2
(0
)
,where
B
r
2
(0
)
is an open ball in W of
radius r
2
centered at 0.
Proof. The proof of Proposition 3.2 is the same as the proof of the condition (A2) in
the proof of Theorem 3.1.
We have proved ... differential inclusion problem involving the p(x)-Laplacian. Nonlinear Anal.
70, 3755–3760 (2009). doi:10.1016/j.na.2008.07.031
4. Dai, G: Infinitely many solutions for a differential inclusion problem in...
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Báo cáo hóa học: " Global attractor of the extended FisherKolmogorov equation in Hk spaces" pot
Ngày tải lên :
20/06/2014, 22:20
... type equations. J Differ
Eqn. 184(1), 78–96 (2002). doi:10.1006/jdeq.2001.4135
12. Li, CY: Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity. ... existence of global attractor for a class of infinite dimensional nonlinear dissipative
dynamical systems. Chin Ann Math B. 26(3), 1–8 (2005)
17. Temam, R: Infinite-Dimensional Dynamical Systems in ... PR China
2
College of Mathematics and
Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR China
Competing interests
The author declares that they have no competing interests.
Received:...
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Báo cáo hóa học: " On the stability of an AQCQ-functional equation in random normed spaces" potx
Ngày tải lên :
21/06/2014, 01:20
... mapping. It is natural that this equation is called
a quadratic functional equation. In particular, every solution of the quadratic functional
equation (1.1) is said to be a quadratic mapping. ... cubic functional equation and every solution of the cubic functional
equation is said to be a cubic mapping.
In [32], Park and Bae considered the following quartic functional equation
f
(
x +2y
)
+ ... Mathematics,
University of Seoul, Seoul 130-743,
Republic of Korea
Full list of author information is
available at the end of the article
Abstract
In this paper, we prove the Hyers-Ulam stability of the following...
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Báo cáo hóa học: " Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems" docx
Ngày tải lên :
21/06/2014, 07:20
... of Fx, t and ex, t,bya
small twist theorem of reversible mapping we obtain the existence of quasiperiodic solutions and
boundedness of all the solutions.
1. Introduction and Main Result
In ... result of boundedness of solutions in the superlinear case i.e.,
gx, t/x →∞as |x|→∞ was due to Morris 2. By means of KAM theorem, Morris
proved that every solution of the differential equation ... nite part of cylinder C S
1
ìR,whereS
1
R/2Z,wedenote
by the class of Jordan curves in C that are homotopic to the circle r constant. The subclass
of Γ composed of those curves lying in A will...
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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
... l
j
3.11
are finite. Equation 3.10 is a inhomogeneous second- order linear difference equation; its
solution takes the form of a particular solution added to an arbitrary linear combination of
solutions ... constant. Equation
4.14 is an inhomogeneous second- order linear difference equation; its solution takes the
form of a particular solution added to an arbitrary linear combination of solutions ... asymptotic solutions of second- order
linear differential equations, the method used in Wong and Li’s papers cannot give us way
to obtain error bounds of these asymptotic solutions. Only order estimations...
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