second order elliptic systems of differential equations
Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
Ngày tải lên :
20/06/2014, 22:20
... to zero as t ® ∞.
Proof. The proof of the corollary is similar to the proof of Corollary 3.3 and so it is
omitted.
From the above results on the oscillation of odd -order differential equation ... criteria for second- order superlinear neutral differential equations. Abstr Appl
Anal. 2011,1–17 (2011)
13. Li, T, Han, Z, Zhao, P, Sun, S: Oscillation of even -order neutral delay differential equations. ... delay differential equations of higher order
for p(t) = ± 1. Arch Math. 40, 359–366 (2004)
16. Tang, S, Li, T, Thandapani, E: Oscillation of higher -order half-linear neutral differential equations. ...
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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 ... 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 ... transformations,
we change the 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...
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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
... 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 and Mathematics, Naval Aeronautical ... theory,
Deng and Shi 5 studied the existence and multiplicity of the boundary value problems to a
class of second- order functional difference equations
Lu
n
f
n, u
n1
,u
n
,u
n−1
1.1
with boundary ... 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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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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Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
Ngày tải lên :
14/02/2014, 17:20
... equal
to I. The proof of uniqueness is complete.
To prove the existence we note, first of all, that it suffices to provide a
proof if one of the κ
i
’s is equal to ±1 and one of the δ
j
’s is equal ... for all k ∈ Z. The proof of the first part of
Theorem 4.9 is complete.
In order to prove Theorem 4.9(ii), we need to compare the first and the
third factors of the two sides of (4.7). The first factors ... solutions of
isomonodromy problems for such systems of difference equations. In the case
of one-interval gap probability this has been done (in a different language) in
[Bor], [BB]. One example of the...
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Báo cáo hóa học: " Polynomial solutions of differential equations" ppt
Ngày tải lên :
20/06/2014, 22:20
... polynomial solutions of a class of linear differential equations of the second order. Bull A M S. 36,
77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0
Azad et al. Advances in Difference Equations 2011, ... which is an
eigenfunction of L.
Specializing to second- order equations because of their importance in applications–
and leaving in this article the higher -order case because of its technical complexity–the
canonical ... Advances in Difference Equations 2011, 2011:58
http://www.advancesindifferenceequations.com/content/2011/1/58
Page 6 of 12
3 Canonical forms of self-adjoint second- order equations with polynomial
coefficients
Let...
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báo cáo hóa học: " Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity" pdf
Ngày tải lên :
21/06/2014, 00:20
... follows from (
1
) which are appeared in the proof
of Theorem 1.2. Then the proof of Theorem 1.3 is completed. □
Proof of Theorem 1.4. From the proof of Theorem 1.1, we know that is coercive
which ... non-autonomous second- order systems
with linear nonlinearity. Nonlinear Anal. 60, 325–335 (2005)
12. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-autonomous Hamiltonian systems. Nonlinear ... completes the proof. □
3 Proof of main results
For the sake of convenience, we will denote various positive constants as C
i
, i =1,2,
3, Now, we are ready to proof our main results.
Proof of Theorem...
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Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx
Ngày tải lên :
21/06/2014, 01:20
... second example, we will obtain the
bound of the solutions of an integral equation.
For the sake of proving the global existence of solutions of differential equations, we
first recall some basic ... in order to illustrate the validity of the
above results. In the first example, we will try to prove the global existence of the solu-
tions of a delay differential equation, while in the second ... integral equation, differential equa-
tion, bounded
1 Introduction
During the past decades, with the development of the theory of differential and integral
equations, a lot of integral inequalities,...
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Báo cáo hóa học: " Research Article Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization" doc
Ngày tải lên :
21/06/2014, 05:20
... relationships between the second- order contingent derivative of a set-valued map and its
profile map are obtained. By virtue of the second- order contingent derivatives of set-valued maps,
some ... the second- order
contingent derivative of a set-valued map and its profile map. In Section 4, by the second-
order contingent derivative, we discuss the quantitative information on the behavior of ... by virtue of the higher order derivatives or epiderivatives introduced by the higher
Fixed Point Theory and Applications 3
order tangent sets. To the best of our knowledge, second- order c ontingent...
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báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 11:20
... problem for second order nonlinear
singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000.
9 Z. Yang, “Positive solutions to a system of second- order nonlocal ... for Fourth -Order Singular
p-Laplacian Differential Equations with Integral
Boundary Conditions
Xingqiu Zhang
1, 2
and Yujun Cui
3
1
Department of Mathematics, Huazhong University of Science and ... a
k
r
2
b
k
a
k
H
k
t, s
x
s
ds.
2.36
By the proof of Lemma 2.3, xt is a solution of problem 2.35 ifandonlyifitisthe
fixed point of the following operator equation:
x
t
A
k
ϕ
−1
p
B
k
F
k
x
t
....
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Báo cáo hóa học: " Research Article First-Order Singular and Discontinuous Differential Equations" docx
Ngày tải lên :
21/06/2014, 20:20
... Singular Differential Equations
It is the goal of the present section to establish a theorem on existence of solutions for 1.1
between a pair of well-ordered lower and upper solutions and in lack of ... solutions of first -order singular differential equations, ”
Bulletin of the London Mathematical Society, vol. 40, no. 1, pp. 143–150, 2008.
17 J. Chu and J. J. Nieto, “Recent results for second order ... Solutions
Another modification of the concepts of lower and upper solutions concerns the possibility of
allowing jumps in their graphs. Since the task of finding a pair of lower and upper solutions
is...
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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 hóa học:" Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems" pdf
Ngày tải lên :
21/06/2014, 11:20
... Article
Multiple Positive Solutions of a Singular
Emden-Fowler Type Problem for Second- Order
Impulsive Differential Systems
Eun Kyoung Lee and Yong-Hoon Lee
Department of Mathematics, Pusan National ... 3-4, pp. 307–
328, 2004.
4 B. Liu and J. Yu, “Existence of solution of m-point boundary value problems of second- order
differential systems with impulses,” Applied Mathematics and Computation, ... Liu, L. Hu, and Y. Wu, “Positive solutions of two-point boundary value problems for systems
of nonlinear second- order singular and impulsive differential equations, ” Nonlinear Analysis: Theory,
Methods...
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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 ... contradiction. The claim 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...
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