... Article ID 80929, 10 pages
doi:10.1155/2007/80929
Research Article
On Comparison Principles for Parabolic Equations with
Nonlocal Boundary Conditions
Yuandi Wang and Hamdi Zorgati
Received 5 December ... Theorem 3.11] for problem with Dirichlet-type
nonlocal boundary value). Moreover, in [7], an existence result for classical solutions
of a parabolic proble...
... distinct pairs of nontrivial solutions for impulsive differential equations
with Dirichlet boundary conditions by using variational methods and critical point theory.
1. Introduction
Impulsive effects ... differential equations with periodic boundary
conditions,” Nonlinear Analysis. Real World Applications, vol. 11, no. 1, pp. 67–78, 2010.
14 Z. Zhang and R. Yuan, “An application...
... Corporation
Journal of Inequalities and Applications
Volume 2007, Article ID 60239, 9 pages
doi:10.1155/2007/60239
Research Article
Slowly Oscillating Solutions for Differential Equations with
Strictly ... solutions for differential systems with convex potential,” Differential and Inte-
gral Equations, vol. 18, no. 4, pp. 361–378, 2005.
[7] V. E. Slyusarchuk, “Necessary and suffi...
... differential equations with periodic boundary
conditions,” Nonlinear Analysis: Real World Applications. In press.
21 G. Bonanno and G. D’Agu
`
ı, “A Neumann boundary value problem for the Sturm-Liouville ... Corporation
Boundary Value Problems
Volume 2009, Article ID 316812, 17 pages
doi:10.1155/2009/316812
Research Article
Variational Method to the Impulsive Equation with...
... Dirichlet boundary value
problems with φ-Laplacian,” in preparation.
[2] J. V. Baxley and G. S. Gersdorff, “Singular reaction-diffusion boundary value problems,” Journal
of Differential Equations, vol. ... stands for the set
of functions h :[0,T]
× G → R satisfying the local Carath
´
eodory conditions on [0,T] × G,
that is, (j) for each z
∈ G, the function h(·,z):[0,T] → R is measur...
... firstly gives the condition of the mixing coefficient, so the conditions
a–c do not contain the mixing coefficient. Thus, the conditions a–c are obviously
simpler than the conditions i–iii ... Publishing Corporation
Journal of Inequalities and Applications
Volume 2010, Article ID 769201, 12 pages
doi:10.1155/2010/769201
Research Article
On Complete Convergence for Arrays of R...
... Publishing Corporation
Fixed Point Theory and Applications
Volume 2009, Article ID 751090, 6 pages
doi:10.1155/2009/751090
Research Article
On T-Stability of Picard Iteration in
Cone Metric Spaces
M. ... sequence with dy
n
,Ty
n
→ 0 as n →∞,then
Picard’s iteration is T-stable.
Definition 2.5 see 6.LetX, d be a cone metric space. A map T : X → X is called a
quasicontraction i...
... Publishing Corporation
Journal of Inequalities and Applications
Volume 2008, Article ID 870950, 4 pages
doi:10.1155/2008/870950
Research Article
On Logarithmic Convexity for Ky-Fan Inequality
Matloob ... 2.3
that is, ξ
s
is log convex in the Jensen sense;
2 ξ
s
is continuous on I ⊆ R,itisalsolog convex, that is, for r<s<t,
ξ
t−r
s
≤ ξ
t−s
r
ξ
s−r
t
2.4
with
ξ
0
1...
... Section 4 to obtain convex formulations for tight inner
and outer bounds on the SPCGS region along with the
corresponding power allocations. In addition, in Section 5,
we will use these formulations ... U
2
1
, the signal U
1
1
contains
particular information for User 1.
(iv) The signal U
3
2
contains common information for all
users, and particular information for User 1.
(v) Fo...
... is, φ
i
for i 1, 2 are convex.
Theorem 3.9. Let t
0
∈ a, b be fixed, h be continuous and monotonic with ht
0
0, g be a function
of bounded variation, and f ∈ C
2
I such that condition 3.2 ... the following
function.
Definition 3.2. Let t
0
∈ a, b be fixed, h be continuous and monotonic with ht
0
0, g be a
function of bounded variation. Choose g such that function Λ
t
is pos...