Báo cáo hóa học: "MULTIPLE NONNEGATIVE SOLUTIONS FOR BVPs OF FOURTH-ORDER DIFFERENCE EQUATIONS" pptx
Báo cáo hóa học: "MULTIPLE NONNEGATIVE SOLUTIONS FOR BVPs OF FOURTH-ORDER DIFFERENCE EQUATIONS" pptx
... 213–221.
MULTIPLE NONNEGATIVE SOLUTIONS FOR BVPs OF
FOURTH-ORDER DIFFERENCE EQUATIONS
JIAN-PING SUN
Received 31 March 2006; Revised 5 September 2006; Accepted 18 September 2006
First, existence criteria for ... positive solutions of a boundary value problem for difference equations,Journalof
Difference Equations and Applications 1 (1995), no. 3, 263–270.
[15] J P. Sun, Pos...
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... 0asl ® 0
+
. □
Proof of Theorem 1.1 From Theorem 4.3, it follows that the problem (1.1) has a posi-
tive solution
u
λ
∈ N
+
λ
for all l Î (0, Λ
0
). □
5 Proof of Theorem 1.2
For 1 <p <N ... (PS)
c
-sequence
for J
l
with c Î (0, c
*
), then there exists a subsequence of {u
n
} converging weakly to a
nonzero solution of (1.1).
Proof Let
{u
n
}⊂D
1,p
0
()
bea(PS)
c
-sequence...
Báo cáo hóa học: "MULTIPLE PERIODIC SOLUTIONS FOR A DISCRETE TIME MODEL OF PLANKTON ALLELOPATHY" potx
... b
2
(k)N
1
(k)N
2
(k)
,
(2.3)
for k
= 0,1,2, Equation (2.3) is a discrete analogue of system (1.2). Notice that the
periodicity of parameters of (2.1)issufficient, but not necessary for the periodicity of
coefficients ... R
+
,andR
2
denote the sets of all integers, nonnegative integers, real num-
bers, nonnegative real numbers, and two-dimensional Euclidean vector space, resp...
báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... Advances in Difference Equations 2011, 2011:14
http://www.advancesindifferenceequations.com/content/2011/1/14
Page 10 of 17
It completes the proof.
Now consider the existence of solutions of PBVP ... book [1], Guo et al.’ s book [2] and references therein
for details. For the recent developments involving existence of solutions to BVPs for
integro-differential equations...
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... ]0, +∞[.
Proof of Theorem 1.1 If G(0) = 0, then by (g
3
), G takes its minimum at 0, so that g
(0) = 0 and 0 is a solution of (1.3). We assume that G(0) >0. Similar to the proof as
for the case ... in ]0, +∞[. Therefore, the conclusion of Theorem 1.1 follows by Theorem 3.1. ■
Remark 4.1 If J(0) = 0, then the solutions obtained in Theorem 1.1 are sign-chan-
ging ones.
Proof of T...
báo cáo hóa học: " Serbian KINDL questionnaire for quality of life assessments in healthy children and adolescents: reproducibility and construct validity" potx
... and Quality of Life Outcomes 2009, 7:79 http://www.hqlo.com/content/7/1/79
Page 6 of 7
(page number not for citation purposes)
ure common underlying constructs of each domain.
Therefore, the above ... Patient-
reported outcomes: The example of health-related quality
of life A European guideline document for the improved
integration of health-related quality of life assessmen...
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... scripts.
Results
13 subjects performed a total of 612 grasp trials; among
these, 11 subjects performed 2 blocks of 18 trials , and 2
subjects performed 6 blocks of 18 trials. Overall, the
CVS ... chances of forming a stable grip.
The CVS was cap able of generati ng nine different
commands (i.e., combinations of grasp types and sizes)
with a success rate of 84%. If the number of...
báo cáo hóa học:" Serbian KINDL questionnaire for quality of life assessments in healthy children and adolescents: reproducibility and construct validity" pptx
... components of children
and adolescents QOL and well-being. This structure
allows it to be used for QOL assessments in divers groups
of healthy children and adolescents, but also for quality of
life ... 4:83-97.
BioMed Central
Page 1 of 7
(page number not for citation purposes)
Health and Quality of Life Outcomes
Open Access
Research
Serbian KINDL questionnaire for quality o...
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... replace the P-frames of the
bitstream at the transition points of the original FOR
function (FOR of the original bitstream without SP).
SincebitsperframeoftheSP-framesdifferfromthose
of the replaced ... Function of reservation (FOR) and function of
transmission (FOT)
For a resource reservation-based transmission scheme,
two functional curves, the FOR a nd the FOT, are com-...
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... closed convex subset C of a real
Hilbert space H. Consider the problem of finding a common element of the fixed
point set of these mappings and the solution set of a system of equilibrium
problems ... (ZXH2011C002).
Authors’ contributions
PD carried out the proof of convergence of the theorems and realization of numerical examples. JZ carried out the
check of the manuscrip...