application of second order differential equation pdf
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
... “Existence of solutions for a class of third -order nonlinear boundary value
problems,” Journal of Mathematical Analysis and Applications, vol. 294, no. 1, pp. 104–112, 2004.
14 D. Guo, Semi-Ordered ... 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 ... Gregus, “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...
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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
... 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 structure for a kind of second- order
rational ... <1.
The proof of theorem 3 .8 is similar to that of theorem 3.6 by virtue of theorem 2.4,
theorem 3.5, Lemma (3.3) and Equation (1.1).
Theorem 3.9. The positive equilibrium point of Equation (1.1) ... 2011:46
http://www.advancesindifferenceequations.com/content/2011/1/46
Page 8 of 9
and
either m = ∞ or m < ∞ and x
m
+1
<
¯
x
.
A negative semicycle of a solution
{
x
n
}
∞
n
=−
1
of Equation (1.1) consists of a string of
terms...
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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
... equicontinuity of E
R
, and it comp letes the proof of the discreteness
of the spectrum of L
0
.
2 The derivation of the asymptotic formula for eigenvalue distribution of L
0
Suppose that the eigenvalues of ... of L
0
which are less than g
k
λ
k
∼−h
√
γ
k
.
(2:9)
Now, find the asymptotic of those solutions of Equation 2.3 which are greater than
g
k
, i.e., the real roots of Equation 2.5. By virtue of ... 2011:7
http://www.boundaryvalueproblems.com/content/2011/1/7
Page 4 of 22
RESEARC H Open Access
Study of the asymptotic eigenvalue distribution
and trace formula of a second order operator-
differential equation
Nigar Mahar Aslanova
1,2
Correspondence:...
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báo cáo hóa học:" Research Article Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations" pdf
Ngày tải lên :
21/06/2014, 18:20
... nonoscillation of forced second order dynamic
equations,” Pacific Journal of Mathematics, vol. 230, no. 1, pp. 59–71, 2007.
12
M. Bohner and S. H. Saker, “Oscillation of second order nonlinear dynamic equations ... for second- order forced dynamic equations with
mixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.
8 D. R. Anderson, “Oscillation of second- order ... functional dynamic
equations with delay and advanced arguments,” to appear in Journal of Dierence Equations and
Applications .
10 A. F. G
ă
uvenilir and A. Zafer, Second- order oscillation of forced functional...
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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
Ngày tải lên :
21/06/2014, 20:20
... Spectrum of Almost Periodic Solution of
Second- Order Neutral Delay Differential Equations
with Piecewise Constant of Argument
Li Wang and Chuanyi Zhang
Department of Mathematics, Harbin Institute of ... Dosly
The spectrum containment of almost periodic solution of second- order neutral delay differential
equations with piecewise constant of argument EPCA, for short of the form xtpxt − 1
qx2t ... Difference Equations
12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with
piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications,...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... questions of solvability of basic boundary value problems
for quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, and
also to the investigation of differential ... with this, one of
the first questions of the general theory of boundary value problems for quasilinear
elliptic equations of the form (1)is the question of distinguishing classes of
equations for ... the proof of an a priori estimate of the Hdlder norm IIulIc^(u) for
solutions of uniformly elliptic equations.
V. The estimate of maxnl vul for equations with structure
described in terms of the...
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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
... for a class of
even -order differential equations
Qi-Ming Zhang
∗1
and Xiaofei He
2
1
College of Science, Hunan University of Technology, Zhuzhou,
Hunan 412000, P.R. China
2
College of Mathematics ... 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 He (hexiaofei525@sina.com)
ISSN ... inequalities for certain higher order differential
equations. Appl. Math. Comput. 216, 368–373 (2010)
[18] He, X, Tang, XH: Lyapunov-type inequalities for even order differential equations.
Commun. Pure...
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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
... 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 the ... c
k
đ . This completes the proof of Theorem 3.1.
Proof of Theorem 3.2. To prove {u
n
} has a convergent subsequence in space
W
1,p(t
)
T
is the same as that in the proof of Theorem 3.1, thus we omit ... .
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: " Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems" docx
Ngày tải lên :
21/06/2014, 07:20
... independent of .
Hindawi Publishing Corporation
Boundary Value Problems
Volume 2011, Article ID 845413, 18 pages
doi:10.1155/2011/845413
Research Article
Lagrangian Stability of a Class of
Second- Order ... 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 ... Boundary Value Problems
2. The Proof of Theorem
The proof of Theorem 1.1 is based on Moser’s small twist theorem for reversible mapping. It
mainly consists of two steps. The first one is to find...
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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
... completed the estimate of the error bounds for asymptotic solutions to second
order linear difference equations in the first case. For the second case, we leave it to the second
part of this paper: Error ... Asymptotic 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 bounds of asymptotic solutons to second- order linear
difference equations. Here the difference equation is
y
n2
− y
n1
1
n 2
y
n
0. 4.25
It is a special case of the equation
n...
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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
... sequences and second order difference equations,”
Journal of Difference Equations and Applications, vol. 14, no. 1, pp. 17–30, 2008.
7 J. Jaro
ˇ
s and T. Kusano, “Self-adjoint differential equations ... properties of Emden-Fowler
difference equations,” Central European Journal of Mathematics
, vol. 7, no. 2, pp. 322–334, 2009.
13 P.
ˇ
Reh
´
ak, “Oscillatory properties of second order half-linear ... cited.
Necessary and sufficient conditions for regular or slow variation of all positive solutions of a
second- order linear difference equation with arbitrary sign coefficient are established. Relations
with...
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báo cáo hóa học:" Research Article Unbounded Solutions of Second-Order Multipoint Boundary Value Problem on the Half-Line" potx
Ngày tải lên :
21/06/2014, 11:20
... nonlinear second- order three-point boundary value problem,”
Journal of Mathematical Analysis and Applications, vol. 296, no. 1, pp. 265–275, 2004.
7 Y. Sun, “Positive solutions of nonlinear second- order ... C. P. Gupta, “Solvability of a three-point nonlinear boundary value problem for a second order
ordinary differential equation, ” Journal of Mathematical Analysis and Applications, vol. 168, no. ... solutions of operator equations on half-line,” Journal of
Mathematical Analysis and Applications, vol. 314, no. 2, pp. 423–435, 2006.
23 Y. Wang, L. Liu, and Y. Wu, “Positive solutions of singular...
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