solution of second order differential equation with constant coefficients
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 ... 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 Analysis:...
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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 ... multiplicity of solutions for p(x)-Laplacian equations in ℝ
N
. Nonlinear Anal. 59, 173–188
(2004)
19. Rabinowitz, PH: Minimax methods in critical point theory with applications to differential equations....
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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
... “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:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
Ngày tải lên :
21/06/2014, 11:20
... 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 the so-called
M-classification ... and recessive solutions. Let
Advances in Difference Equations 13
R denote the set of all positive recessive solutions of 1.1 and D denote the set of all
positive dominant solutions of 1.1.FromTheorem ... Corporation
Advances in Difference Equations
Volume 2010, Article ID 673761, 16 pages
doi:10.1155/2010/673761
Research Article
Regularly Varying Solutions of
Second- Order Difference Equations with
Arbitrary Sign...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 20:20
... for second- order difference
equations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated,
and their relationships between the eigenvalues of second- order difference equation ... studied existence of minimal and maximal quasisolutions of a second- order nonlinear
periodic boundary value problem 3,Section4. In 2005, Wang and Shi 4 considered 1.1
with the periodic ... Corporation
Advances in Difference Equations
Volume 2009, Article ID 347291, 18 pages
doi:10.1155/2009/347291
Research Article
Inequalities among Eigenvalues of
Second- Order Difference Equations with
General Coupled...
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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
... Difference Equations 13
6. Conclusions
In this paper, by using the fixed point theorem of cone, we have investigated the existence
of positive solutions for a class of nonlinear fractional differential equations ... positive solution x
with r ≤x≤R. The proof is complete.
5. Discussion
In this section, we offer some interesting discussion associated with boundary value problems
1.5.
Since the proof of the ... 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...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
Ngày tải lên :
21/06/2014, 16:20
... W. Ge, “Existence of solutions of boundary value problems with integral
boundary conditions for second- order impulsive integro-differential equations in Banach spaces,”
Journal of Computational ... Article
Positive Solutions of nth -Order Nonlinear
Impulsive Differential Equation with Nonlocal
Boundary Conditions
Meiqiang Feng,
1
Xuemei Zhang,
2
and Xiaozhong Yang
2
1
School of Science, Beijing ... introduction of the basic theory of impulsive
differential equations, see Lakshmikantham et al. 1; for an overview of existing results and
of recent research areas of impulsive differential equations,...
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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
... 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 ... 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 ... 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
Ngày tải lên :
20/06/2014, 22:20
... negative. There do not e xist eventua lly positive
non-oscillatory solutions of Equation (1.1).
Proof. Consider a solution of Equation (1.1) with
x
−1
, x
0
∈
(
0, 1
).
We then know from Lemma 2.3 (A) ... 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 ... 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 than or equal to the equilibrium
¯
x
, with r
≥ -1 and m ≤∞such...
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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
... 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 ... 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 ... number of positive roots of the function in (2.6), and W be the
number of sign changes in its coefficients. Because the radius of convergence of this
series is ∞, then by Descartes’ rule of signs...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... non-linear differential equations
of fractional order. Nonlinear Anal 2011, 74:792-804.
34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... nonlinear ordinary differential equations with advanced
arguments. Nonlinear Anal 2003, 53:495-505.
40. Yan JR: Oscillation of first -order impulsive differential equations with advanced argument. ... Positive solutions of the three-point boundary value problem for second order differential
equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023.
42. Jankowski T: Positive solutions...
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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
... 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. ... “Positive solutions for boundary-value problems of nonlinear fractional differential
equations,” Electronic Journal of Differential Equations, vol. 2006, pp. 1–12, 2006.
21 S. Zhang, “The existence of ... paper investigates the existence and multiplicity of positive solutions for a class of higher-
order nonlinear fractional differential equations with integral boundary conditions. The results
are...
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báo cáo hóa học:" Research Article Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales" docx
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21/06/2014, 20:20
... pages
doi:10.1155/2009/685040
Research Article
Existence of Positive Solution to Second- Order
Three-Point BVPs on Time Scales
Jian-Ping Sun
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu ... on time scales,” Journal of Difference Equations and Applications, vol. 14, no.
7, pp. 723–736, 2008.
9 H. Luo and Q. Ma, “Positive solutions to a generalized second- order three-point boundary-value
problem ... scale,”
Electronic Journal of Differential Equations, vol. 2003, no. 82, 11 pages, 2003.
8 R. A. Khan, J. J. Nieto, and V. Otero-Espinar, “Existence and approximation of solution of three-point
boundary...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... Article
Limit Properties of Solutions of Singular
Second- Order Differential Equations
Irena Rach
˚
unkov
´
a,
1
Svatoslav Stan
ek,
1
Ewa Weinm
ă
uller,
2
and Michael Zenz
2
1
Department of Mathematical ... formulate sufficient conditions for the existence of at least
one solution of problem 5.1a and 5.1b with a>0. In the proof of this theorem, we work
also with auxiliary two-point boundary conditions:
u
0
... the
solvability of nonlinear singular equations subject to different types of boundary conditions.
In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic
problems. The rest of...
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