application of second order differential equation in civil engineering
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 ... solutions of nonlinear singular third -order two-point boundary value problem,”
Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006.
12 Y. Sun, “Positive solutions of...
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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, ... of South
China, Hengyang, Hunan 421001,
People’s Republic of China
Full list of author information is
available at the end of the article
Abstract
In this paper, we consider the rule of trajectory...
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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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application of back-propagation neural network in data forec
Ngày tải lên :
28/04/2014, 10:18
... data
MIN_VAL: Min value of data
TFmax: Max of transformation function
TFmin: Min of transformation function
OV: Original Value
Application
Application
Training
Training
Training tunes a neural ... training, and testing.
CONTENT
CONTENT
Introduction
Introduction
Steps in data forecasting modeling
Steps in data forecasting modeling
using neural network
using neural network
Determine ... employed in training the network.
The test set, often includes 10% to 30% of training set, is used in testing the
generalization. And the verification set is set balance between the needs of
enough...
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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 ... satisfying (1.1) in SZ and coinciding with T on 852. While the admissible
structure of linear elliptic equations is determined mainly by the condition of
sufficient smoothness of the coefficients, in ... 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 ... below).
For information about publishing your research in Journal of Inequalities and Applications go to
http://www.journalofinequalitiesandapplications.com/authors/instructions/
For information ... 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,...
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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
... equations in ℝ
N
. Nonlinear Anal. 59, 173–188
(2004)
19. Rabinowitz, PH: Minimax methods in critical point theory with applications to differential equations. In CBMS Reg Conf
Ser in Math, vol. 65,American ... 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 ... .
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...
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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
... Journal of Inequalities and Applications 2011, 2011:34
http://www.journalofinequalitiesandapplications.com/content/2011/1/34
Page 8 of 12
4. Gajda, Z: On stability of additive mappings. Int J ... normed spaces.
Journal of Inequalities and Applications 2011 2011:34.
Park et al. Journal of Inequalities and Applications 2011, 2011:34
http://www.journalofinequalitiesandapplications.com/content/2011/1/34
Page ... equa-
tion, Hyers-Ulam stability
1. Introduction
The stability problem of functional equations originated from a question of Ulam [1] in
1940, concerning the stability of group homomorphisms. Let (G
1
,·)beagroupandlet
(G
2
,*,d)...
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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 ... 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 ... systems 1.9 to a form of small perturbation of integrable reversible system.
Then a KAM Theorem f or reversible mapping can be applied to the Poincar
´
e mapping of this
nearly integrable reversible...
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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 ... Solutions of Second- order Linear Difference
Equation II: the second case.
In the rest of this paper, we would like to give an example to show how to use the
results of this paper to obtain error...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
Ngày tải lên :
21/06/2014, 11:20
... k ≥ a
In this case, completely analyzed in 1, any positive solution y is either decreasing or
eventually increasing. We say that y is of class M
in the first case, of class M
−
in the second
one. ... 2
1
ψ
j
1
h
k
∞
jk
h
j
Gw
j
−
1
h
k
∞
jk
Δh
j
Δw
j
.
3.16
Solvability of this equation will be examined by means of the contraction mapping theorem
in the Banach space of sequences converging towards zero. The following properties of h
will play ... solutions of 1.1 and D denote the set of all
positive dominant solutions of 1.1.FromTheorem 4.1, taking into account Theorem 3.1,
the following characterization of recessive and dominant solution...
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