solving systems of second order differential equations in matlab
Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
Ngày tải lên :
20/06/2014, 21:20
... soon.
Lyapunov-type inequalities for 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 ... (2.11)
Since |x(c)| > 0, divided the last inequality of (2.11) by |x(c)|, we can obtain (2.10).
By a similar method in the proof of Theorem 1.1, applying Lemmas 2.1 and 2.3, we can
obtain the ... In view of the forms of the two inequalities (1.6) and (2.12), we can easily
find that inequality (2.12) is simpler than (1.6). Moreover, by using the method of induction,
we can verify that inequality...
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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
... k ≥ a
In this case, completely analyzed in 1, any positive solution y is either decreasing or
eventually increasing. We say that y is of class M
in the first case, of class M
−
in the second
one. ... difference tending to zero, have two possible asymptotic behaviors,
since they can be slowly varying or regularly varying with index 1 in case ii, or regularly
varying with two different indices in case ... solutions of 1.1 and D denote the set of all
positive dominant solutions of 1.1.FromTheorem 4.1, taking into account Theorem 3.1,
the following characterization of recessive and dominant solution...
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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
... vol. 8 of Mathematics in Science and
Engineering, Academic Press, New York, NY, USA, 1964.
2 Y. Shi and S. Chen, “Spectral theory of second- order vector difference equations, ” Journal of
Mathematical ... Section 2 gives some preliminaries including
existence and numbers of eigenvalues of the coupled boundary value problems, and some
properties of eigenvalues of a kind of separated boundary value ... ψ
n
are
Hindawi Publishing 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...
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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 ... ω. This brings more convenience to study the spectrum
containment of almost periodic solution of 1.1. Now, we are in the position to show the
Main Theorem.
The proof of Main Theorem
Since H
1
... periodic. In this paper, we investigate the existence,
uniqueness, and spectrum containment of almost periodic solutions of 1.1. T he main result
obtained in this paper is different from that given in...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... SCHULENBERGER
Library of Congress Cataloging in Publication Data
lvanov, A. V.
Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order.
(Proceedings of the Steklov Institute of ... satisfying (1.1) in SZ and coinciding with T on 852. While the admissible
structure of linear elliptic equations is determined mainly by the condition of
sufficient smoothness of the coefficients, in ... priori
estimate of maxnivul breaks down into two steps: 1) obtaining maxaalvul in terms
of maxsljul, and 2) obtaining an estimate of maxr 1vul in terms of maxanlvul and
maxalul. The estimates of maxaulvul...
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Báo cáo hóa học: " Solving systems of nonlinear matrix equations involving Lipshitzian mappings" pdf
Ngày tải lên :
20/06/2014, 22:20
... crucial
role. In this study, we use the Thompson metric introduced by Thomp son [5] for the
study of solutions to systems of nonlinear matrix equations involving contractive
mappings.
We first ... Hussein-Tunis, B.P. 56, 1008
Bab Menara, Tunisia
Abstract
In this study, both theoretical results and numerical methods are derived for solving
different classes of systems of nonlinear matrix equations ... 2011:89
http://www.fixedpointtheoryandapplications.com/content/2011/1/89
Page 2 of 10
RESEARC H Open Access
Solving systems of nonlinear matrix equations
involving Lipshitzian mappings
Maher Berzig
*
and Bessem Samet
* Correspondence: maher.
berzig@gmail.com
Université...
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Báo cáo hóa học: " Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance" pptx
Ngày tải lên :
20/06/2014, 22:20
... yklie@ynu.edu.
cn
Department of Mathematics,
Yunnan University Kunming,
Yunnan 650091, People’s Republic
of China
Abstract
In this paper, by making use of the coincidence degree theory of Mawhin, the
existence of the ... problems
do in the continuous case. For instance, in BVPs (1.1), let
g(s)=
k
i=1
a
i
χ(s −t
i
),
where k ≥ 1isaninteger,a
i
Î [0, ∞), i = 1, , k,
{t
i
}
k
i=1
is a finite increasing
sequence of distinct ... Δ?Δ?-integral conditions,
resonance, time scales
1 Introduction
Hilger [1] introduced the notion of time scales in order to unify the theory of continu-
ous and discrete calculus. The field 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 ... .
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
||
∞
® +∞,ask ® ∞.TheproofofTheorem3.2is
complete.
Proof of Theorem ... definitions and preliminary results
are collected in Second 2. The main results and proofs are given in Section 3. The
three examples are presented in Section 4 for illustrating our results.
In...
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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
... inte-
ger -order ordinary differential equations. Toidentifyafew,wereferthereaderto
[2-13] and the references therein.
Fractional differential equations arise in many engineering and scientific disciplines
as ... accurate than integer-
order models, i.e., there are more degrees of freedom in the fractional -order models. In
consequence, the subject of fractional differential equations is gaining much impor-
tance ... Three-point boundary value problem, Fractional differ-
ential equations, Guo-Krasnoselskii fixed point theorem, Cone
1 Introduction
The study of three-point BVPs for nonlinear integer -order ordinary...
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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
... 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 integrable ... 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 Main Result
In ... Article
Lagrangian Stability of a Class of
Second- Order Periodic Systems
Shunjun Jiang, Junxiang Xu, and Fubao Zhang
Department of Mathematics, Southeast University, Nanjing 210096, China
Correspondence...
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