solution of second order differential equation using laplace transform
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
Ngày tải lên :
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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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... This is
accomplished using 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 ... 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
... 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 He (hexiaofei525@sina.com)
ISSN ... 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...
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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 ... .
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 ... and et, by using a variant of Moser’s small twist
theorem 9 to the Pioncar
´
e map, the author obtained the existence of quasi-periodic solutions
and the boundedness of all solutions.
Then...
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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 ... open. The purpose of this and the next paper Error
bounds for asymptotic solutions of second- order linear difference equations II: the second
case is to estimate error bounds for solutions to 1.2....
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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
... ∪NRV
2
.
Proof . First we show the last part of the statement. Let {x, y}be a fundamental set of solutions
of 1.1,withy ∈NRV
1
, x ∈NRV
2
,andletz be an arbitrary solution of 1.1,with
z
k
> ... possible values of the limits of y and of Δy. Solutions in M
∞,B
, M
∞,0
,
M
B,0
are sometimes called, respectively, dominant solutions, intermediate solutions, and
subdominant solutions, since, ... positive
solutions is particularly meaningful in the study of dominant and recessive solutions. Let
Advances in Difference Equations 13
R denote the set of all positive recessive solutions of 1.1...
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báo cáo hóa học:" Research Article Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs" pptx
Ngày tải lên :
21/06/2014, 11:20
... a unique solution and then studied the dependence of this solution on the parameters
λ and μ.Sun11 discussed the existence and nonexistence of positive solutions to a class of
third -order three-point ... which is
the unique positive solution of the BVP 1.5–1.7. The first part of the theorem is proved.
In the rest of the proof, we will prove that such a positive solution u
λ
t satisfies
properties ... and Parameter Dependence of Positive
Solution of Fourth -Order Nonhomogeneous BVPs
Jian-Ping Sun and Xiao-Yun Wang
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou,...
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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 ... results of existence and multiplicity of positive solutions to the
BVP 1.3 by using lower and upper solutions technique.
Motivated by the above works, we will study the existence results of unbounded
positive ... “Positive 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...
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báo cáo hóa học:" Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations" ppt
Ngày tải lên :
21/06/2014, 11:20
... 1.
3.13
Then we may transform our existence problem of positive solutions of BVP 3.1 into a fixed
point problem of operator 3.13.
Lemma 3.3. Consider that ΦK ⊂ K.
Proof. If t ∈ −τ, 0 and ... pages
doi:10.1155/2010/973731
Research Article
Solutions and Green’s Functions for
Boundary Value Problems of Second- Order
Four-Point Functional Difference Equations
Yang Shujie and Shi Bao
Institute of Systems Science ... existence of positive solutions for a second- order
functional difference equation with four-point boundary conditions.
1. Introduction
In recent years, boundary value problems BVPs of differential...
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