solution of second order differential equation pdf
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 ... which guarantees the uniqueness of solution of 1.1 and cannot be
omitted.
To study the spectrum of almost periodic solution of 1.1, we firstly study the solution
of 1.1.Let
f
1
n
n1
n
s
n
f
σ
dσ ... 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...
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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 ... problem,”
Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006.
12 Y. Sun, “Positive solutions of singular third -order three-point boundary value problem,” Journal of
Mathematical ... 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 three-point nonhomogeneous...
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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
... Difference Equations 2011, 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 ... Most of
these discrete mathematical models are first -order functional difference equations. Rela-
tively, few articles focused on the existence of positive periodic solutions of higher -order
functional ... k, , m ẻ N where N
denotes the set of positive integers.
The purpose of this article is to consider the existence of positive periodic solution
of higher -order functional differen ce equatio...
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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
... 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 ... the solution is a nontrivial solution, then we can further divide the solution into two
cases: non-oscillatory solution and oscillatory solution. A nontrivial solution
{x
n
}
∞
n
=−
1
of
Equation ... <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)...
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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
... 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 ... 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 ... 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 ... second- order nonlinear dynamic equations on time
scales,” Electronic Journal of Differential Equations, no. 145, pp. 1–8, 2006.
17 Q. Kong, “Interval criteria for oscillation of second- order...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... 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 ... study of properties of generalized solutions of quasilin-
ear, weakly degenerate parabolic equations. From the results obtained it is evident
how the properties of generalized solutions of the equation ... Ilullc,
t°cal
in terms of IlullcI(n> for solutions of arbitrary elliptic
equations of the form (1), at the end of Chapter 1 theorems on the existence of
classical solutions of the Dirichlet problem...
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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 ... of Lyapunov. Am. J. Math. 73,
885–890 (1951)
[3] Cheng, SS: Lyapunov inequalities for differential and difference equations. Fasc. Math.
23, 25–41 (1991)
[4] He, Z: Existence of two solutions of ... 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...
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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
... 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 ... .
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 ... 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...
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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
... 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 ... assumptions on the parities 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 ... λ
,
2.44
Boundary Value Problems 5
This equation takes as an integrable part of 1.9. We will use its solutions to construct a pair
of action-angle variables. One of solutions for 2.5 is the function...
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