system of differential equations first order
báo cáo hóa học: " On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point" pdf
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21/06/2014, 00:20
... 2011:16
http://www.boundaryvalueproblems.com/content/2011/1/16
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RESEARC H Open Access
On the solvability conditions of the first
boundary value problem for a system of elliptic
equations that strongly degenerate at ... uniqueness of the solutions are obtained.
Keywords: systems of elliptic equations, degenerate elliptic equations, boundary
value problems, Dirichlet type problem
1 Introduction and statement of the ... stasys.
rutkauskas@mii.vu.lt
Institute of Mathematics and
Informatics of Vilnius University,
Akademijos str. 4, LT-08863, Vilnius,
Lithuania
Abstract
A system of elliptic equations which are irregularly...
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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, ... Advances in Difference Equations 2011, 2011:58
http://www.advancesindifferenceequations.com/content/2011/1/58
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RESEARCH Open Access
Polynomial solutions of differential equations
H Azad
*
, ... 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...
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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
... 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 facts. ... present two examples 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, ... 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 Dynamics of a Rational System of Difference Equations in the Plane" pot
Ngày tải lên :
21/06/2014, 05:20
... some of those
systems can be reduced to some Ricatti equations or to some previously studied second -order
rational equations. Further, since, for some choices of the parameters, one obtains a system
which ... argument θ of
the complex root is a rational multiple of π, the system is globally periodic.
4.4. Stability of Fixed Points
We finish this section with the complete study of the stability of the fixed ... attention on three aspects of the dynamics of the
system: the boundedness character and asymptotic behavior of its solutions, the existence
of periodic orbits in particular, of prime period-two solutions,...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
Ngày tải lên :
21/06/2014, 02:20
... Difference Equations 2011, 2011:14
http://www.advancesindifferenceequations.com/content/2011/1/14
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RESEARCH Open Access
Some new results for BVPs of first- order nonlinear
integro -differential ... the existence of solutions for
first- order nonlinear integro -differential equations with boundary value conditions.
Our methods to prove the existence of solutions involve new differential inequalities
and ... for first order impulsive integro -differential equations of mixed type.
J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.047
8. Jankowski, T, Jankowski, R: On integro -differential equations...
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Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
Ngày tải lên :
21/06/2014, 03:20
... Trujillo JJ: Differential equations of fractional order: methods, results and problem. I Appl Anal 2001,
78:153-192.
6. Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, ... uniqueness of solutions for coupled systems of higher -order nonlinear
fractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17.
30. Babakhani A: Positive solutions for system of nonlinear ... of author information is
available at the end of the article
Abstract
In this article, we study the existence of positive solutions for a coupled system of
nonlinear differential equ ations of...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
Ngày tải lên :
20/06/2014, 20:20
... solutions),
unfortunately often identified in the literature on lower and upper solutions.
First- order differential equations with state-dependent deviated argu-
ments have received a lot of attention in ... compact set of fixed
points in C(I), which are exactly the solutions of problem (4).
Claim 2: Every solution x of (4) satisfies α ≤ x ≤ β on I and, therefore, it
is a solution of (1) in [α, β]. First, ... [2–7] which deal with existence results for this kind of prob-
lems. For the qualitative study of this type of problems we can cite the
survey of Hartung et al. [8] and references therein.
As main...
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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: " Oscillation of higher-order quasi-linear neutral differential equations" doc
Ngày tải lên :
20/06/2014, 22:20
... tends to zero as t đ .
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 ... 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. ... On the oscillation of odd order neutral differential equations. Fasc Math. 29, 167–183 (1999)
21. Zhang, Q, Yan, J: Oscillation behavior of even order neutral differential equations with variable...
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báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt
Ngày tải lên :
21/06/2014, 02:20
... infinite systems of differential functional equations and strongly coupled infinite
systems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980)
Kamont Journal of Inequalities ... in the theory of first- order partial differential equations,
including questions such as estimates of solutions of initial problems, estimates of
domains of solutions, estimates of the difference ... Functional differential inequalities, Haar pyramid, Comparison the orems,
Weak solutions of initial problems
1 Introduction
Two types of results on first- order partial differential or functional differential...
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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
... applications of integer
order differential equations wit h deviat ed arguments, we refer the reader to the refer-
ences [39-45].
As far as we know, fractional order differential equations with ... some 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 ... Difference Equations 2011, 2011:2
http://www.advancesindifferenceequations.com/content/2011/1/2
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44. Wang G, Zhang L, Song G: Integral boundary value problems for first order integro-differential...
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Báo cáo hóa học: " Research Article On Efficient Method for System of Fractional Differential Equations" potx
Ngày tải lên :
21/06/2014, 05:20
... solutions of the
integer -order equations are found to follow as special cases of those of fractional -order
equations.
We consider the system of fractional -order equations of the form
D
α
i
y
i
t
... kinds of
nonlinear equations. The new homotopy perturbation method NHPM was applied to linear
and nonlinear ODEs 17.
In this paper, we construct the solution of system of fractional -order ... pY
i,1
−L
−1
i
∞
n0
a
i,n
P
n
t
.
3.10
Equating the coefficients of like powers of p, we get the following set of equations:
coefficient of p
0
: Y
0
L
−1
∞
n0
a
i,n
P
n
t
,
coefficient of p
1
: Y
1
L
−1
i
f
i
...
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Báo cáo hóa học: " Research Article Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order" ppt
Ngày tải lên :
21/06/2014, 07:20
... differential equations, ” Applicable Analysis, vol. 87, no. 7, pp. 851–863, 2008.
7 V. D. Gejji, “Positive solutions of a system of non-autonomous fractional differential equations, ”
Journal of Mathematical ... class of four-point nonlocal boundary value
problem of nonlinear integrodifferential equations of fractional order by applying some fixed
point theorems.
On the other hand, impulsive differential equations ... Section 2.
To the best of our knowledge, this is the first time in the literatures that a nonlocal
boundary value problem of impulsive differential equations of fractional order is considered.
...
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
Ngày tải lên :
21/06/2014, 11:20
... delay dynamic equations of first
order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008.
10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... uniqueness of solutions to systems of delay dynamic equations on time
scales,” http://arxiv.org/abs/1001.0737v3 .
6 M. Bohner, “Some oscillation criteria for first order delay dynamic equations, ” ... Article
Nonoscillation of First- Order Dynamic Equations
with Several Delays
Elena Braverman
1
and Basáak Karpuz
2
1
Department of Mathematics and Statistics, University of Calgary, 2500 University...
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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
Ngày tải lên :
21/06/2014, 16:20
... and Lyapunov Stability of
Periodic Solutions for Generalized Higher -Order
Neutral Differential Equations
Jingli Ren,
1
Wing-Sum Cheung,
2
and Zhibo Cheng
1
1
Department of Mathematics, Zhengzhou ... 1.3 into a system of first -order differential equations, and then by applying
Mawhin’s continuation theory and some new inequalities, we obtain sufficient conditions
for the existence of periodic ... kind of second order neutral functional differential
equations, ” Applied Mathematics and Computation, vol. 190, no. 2, pp. 1394–1401, 2007.
7 Q. Wang and B. Dai, “Three periodic solutions of nonlinear...
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