GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS C V doc
GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS C. V. doc
... (u ,v) ,thesolution(u
n
,v
n
) converges monotonically
78 Global attractor of difference equations
Remark 5.4. The convergence of the solution (u
n
,v
n
)to( u
∗
,v
∗
) for arbitrary nonnega-
tive ... above hypothesis, is given by
≡
(u ,v) ∈ R
2
;
δ
(1)
,δ
(2)
≤ (u ,v) ≤
M
(1)
,M
(2)
. (2.3)
GLOBAL ATTRACTOR OF COUPLED DIFFERENCE
EQUATIONS AND APP...
ONE PARAMETER FAMILY OF LINEAR DIFFERENCE EQUATIONS AND THE STABILITY PROBLEM FOR THE NUMERICAL pdf
... z
k−1
ρ
k−1
z
−1
, (2.16)
having positive coefficients.
Proof. Item (1) immediately follows by taking into account (2.11) and by using (2.13).
Moreover, (2) and (3) are easy consequence of (2.14). Concerning item ... inside the unit circle and, of course, the number of conditions at
the end of the interval of integ ration should be equal to the number of roots outside th...
PERIODIC SOLUTIONS FOR A COUPLED PAIR OF DELAY DIFFERENCE EQUATIONS GUANG ZHANG, SHUGUI KANG, AND potx
... periodic solutions are
found for a system of delay difference equations. By using such results, the existence of
nontrivial periodic solutions for delay difference equations with positive and negative
termsisalsoconsidered.
1. ... Z,weknowthatu
∗
= v
∗
. (Indeed, if u
∗
= v
∗
,then
u
∗
= v
∗
= 0, which is contrar y to the fact that (u
∗
,v
∗
) = (0,0).) Thus u
∗
− v
∗
is...
Báo cáo hóa học: "Global behavior of the solutions of some difference equations" pptx
... 2011
References
1. Kulenovic MRS, aa, Ladas, G: Dynamics of Second Order Rational Difference Equations with Open Problems and
Conjectures. Chapman & Hall/CRC Press, Boca Raton, FL. (2001)
2. Kocic, VL, ... point of Equation 1 is global attractor. In Sect. 4
we give the solutions of some special cases of Equat ion 1 and give a numeri cal exam-
ples of each case and d...
báo cáo hóa học:" Research Article On the Well Posedness and Refined Estimates for the Global Attractor of the TYC Mod" docx
... run.
References
1 J. Hill and C. Cichra, “Eradication of a reproducing population of Convict Cichlids, Cichlasoma
nigrofasciatum Cichlidae in North-Central Florida,” Florida Scientist, vol. 68, ... like to conclude by reiterating that invasive species pose a clear and
present danger to both the ecosystems they reside in and the regional and global economies
they affect....
Báo cáo hóa học: "Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay" pdf
... norm of a vector in E
d
.
2.1. Almost periodic sequences. We review definitions of (uniformly) almost periodic
and asymptotically almost periodic sequences, which have been discussed by several ... Publishing Corporation
Advances in Difference Equations
Volume 2007, Article ID 68023, 15 pages
doi:10.1155/2007/68023
Research Article
Periodic and Almost Periodic Solutions of Functiona...
Scattering of electromagnetic waves theories and applications , tsang , ding , kong
... Waves, Cylindrical Waves, and
Spherical Waves
Cartesian Coordinates: Plane Waves
Cylindrical Waves
Spherical Waves
Acoustic Scattering
Scattering by Spheres, Cylinders, and Disks
Mie Scattering ... Waves, Cylindrical Waves, and
Spherical Waves
Cartesian Coordinates: Plane Waves
Cylindrical Waves
Spherical Waves
Acoustic Scattering
21
21
22
24
30
32
32
Scattering by S...
Báo cáo "On the asymptotic behavior of delay differential equations and its relationship with C0 - semigoup " potx
... E .V. Voskoresenski, Asymptotic equivalence of systems of differential equations, Results of mathematic science 40
(1985) 245 (Russian).
[4] M. Svec, Itegral and asymptotic equivelence of two systems ... the Conference on Mathematics, Mechanics,
and Informatics, Hanoi, 7/10/2006, on the occasion of 50th Anniversary of Department of Mathematics,
Mechanics and Informati...
handbook of polyethylene structures properties and applications 2000 - peacock
... mor-
phology of polyethylene has improved dramatically. With the advent of perman-
ganic acid etching of fractured and cut surfaces [38] and chlorosulfonic acid
staining of microtomed sections [39], ... somewhat
abrasive and can accelerate wear in extruders and other processing equipment.
Ziegler–Natta catalyst systems invariably contain a variety of active sites
due to...
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