... in neutral differential equations with variable delays. Proc Am Math Soc. 136,
909–918 (2008)
19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with ... Difference Equations 2011, 2011:48
http://www.advancesindifferenceequations.com/content/2011/1/48
Page 8 of 11
RESEARCH Open Access
New criteria for stability...
... consider a class of impulsive difference equations with distributed
delays. By establishing an impulsive delay difference inequality and using the properties
of “r-cone” and eigenspac e of the spect ... of the spect ral radius of non-negative matrices, some new
sufficient conditions for global exponential stability of the impulsive difference equa-
tions with distri...
... The greatest fixed point of G in X is defined similarly by
reversing the inequality. If both least and greatest fixed points of G in X exist, call them
extremal fixed points of G in X.
The following ... [a,b], then the sequence of Q-iteration of
a converges to the least fixed point x
∗
of Q and the sequence of Q-iteration of b converges to
the greatest fixed point x
∗
of Q.M...
... approach is just of interest for systems with “slowly
changing” matrices.
The purpose of this section is to apply a new method to investigate the stability of system
4.1, which combined with the “freezing ... m×m-matrices, x
n
∈ R
m
. By means of a characteristic equation, they established
many results concerning the stability of the solutions of such equation. How...
... frontal belly of the occipitofrontalis
muscle of the forehead with an elastic strap, as shown in
Figure 5. The sensor was placed 1 cm above the eyebrow,
above the inside corner of the right eye. ... switch for computer access. The automatic selection of scale-specific thresholds reduced the effect of
artefact, such as eye blinks and head movement, on the performance of the sw...
... properly cited.
We study the existence of n distinct pairs of nontrivial solutions for impulsive differential equations
with Dirichlet boundary conditions by using variational methods and critical ... u.
Then, for any n ∈ N,thereexistsλ
n
such that λ>λ
n
, and problem 1.1 has at least n distinct
pairs of nontrivial classical solutions.
Proof. The proof is similar to t he p...
... settings. The major gaps for developing a new TB point -of- care
test include identification of new biomarkers, simplification of technological platforms, development of adequate
and accessible ... followed by lack of
drug susceptibility evidence without further referral, low
overall diagnostic performance of SSM due to variability
of analysis, and lengthy turnaround time...
... Fully formatted
PDF and full text (HTML) versions will be made available soon.
Oscillation criteria for second-order nonlinear neutral difference equations of
mixed type
Advances in Difference Equations ... equations
of mixed type, see for example [1–8]. Motivated by the above observation, in
this article we establish some new oscillation criteria for the Equation (E...
... oscilla-
tion criteria for the neutral forced equations of type (2.26), that is,
Δ
x(n) −c(n)x[n −τ]
+ q
1
(n)x
μ
[n −τ +1]=q
2
(n)x
λ
[n −τ +1]+e(n), (4.27)
and also for forced neutral second-order ... 2006
Some new criteria for the oscillation of first-order forced nonlinear difference equations
of the form Δx(n)+q
1
(n)x
μ
(n +1)= q
2
(n)x
λ
(n +1)+e(n), where λ...
... holds.
The rest of the proof is similar to that of the proof of Theorem 2.1.
Corollary 2.4. Let θ ≥ 0 and let p be a real number with 0 < p <
1
3
. Let X be a normed
vector space with norm ... Ber. 346, 43–52 (2004)
[10] C˘adariu, L, Radu, V: Fixed point methods for the generalized stability of functional equations in a
single variable. Fixed Point Theory Appl....