... article as: Zheng and Feng: Some new nonlinear integral inequalities and their applications in the
qualitative analysis of differential equations. Journal of Inequalities and Applications 2011 ... doi:10.1016/j.amc.2006.05.013
Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20
http://www.journalofinequalitiesandapplications.co...
... Republic of China
Full list of author information is
available at the end of the article
Abstract
The main objective of this paper is to establish some new retarded nonlinear sum-
difference inequalities ... New York (1998)
16. Pinto, M: Integral inequalities of Bihari-type and applications. Funkcial Ekvac. 33, 387–430 (1990)
17. Cheung, WS: Some new nonl...
... WN: On some new nonlinear discrete inequalities and their applications. J Comput Appl Math 2003,
158:407-417.
14. Meng FW, Ji DH: On some new nonlinear discrete inequalities and their applications. ... FW: On some new nonlinear discrete inequalities and their applications. J Ineq Pure Appl
Math 2006, 7:1-9, Article 52.
2. Pachpatte BG: Inequalities app...
... investigate some nonlinear integral inequalities in two independent variables on time scales.
Our results unify and extend some integral inequalities and their corresponding discrete analogues
which ... we know. In
this paper, we investigate some nonlinear integral inequalities in two independent variables
on time scales, which can be used as handy tools to s...
... discovered some new integral inequalities
involving functions of two variables. These inequalities are applied to study the bound-
edness and uniqueness of the solutions of the following terminal value ... stability, invariant manifolds, and other qualitative properties of solutions
of the theory of differential and integral e quations. There are a lot...
... (within each SS) of the
coupled-decompositions method in order to obtain
new candidates γ
i
.
(5) Finally, the BS updates the value of the dual variable
to μ
t+1
using the dual projection and the ... be found in [14], where the authors take into
account intercell interference to constrain the subchannel
transmitting powers. Note that one interesting extension is
th...
... methods involve new differential inequalities and the classical fixed-point
theory.
This paper mainly considers the existence of solutions for the following first-order
nonlinear integro -differential ... 2.2.
In what fo llows we focus on the first-order integro -differential equations of mixed
type in the form of (1.2). The results presented in the follo...
... to some c ≥ 0. If c > 0, then by the above inequalities,
Chen Fixed Point Theory and Applications 2011, 2011:72
http://www.fixedpointtheoryandapplications.com/content/2011/1/72
Page 2 of 8
Letting ... all t Î [0,
∞). Then, T has a fixed point in X.
In the recent, Amini-Harandi [5] gave th e following fixed point theorem for set-
valued quasi-contraction maps in metric s...
... studied the twisted Bernoulli numbers and q-Bernoulli numbers in the
area of number theory(see [17-19]).
In the viewpoint of (5), it seems to be interesting to investigate the twisted properties
of ... q)[x + m]
n
q
.
(7)
Therefore, by (7), we obtain the following theorem.
Jang et al. Journal of Inequalities and Applications 2011, 2011:52
http://www.journalofineq...
... been established such as the Halanay inequalities in [4-6], the
delay inequalities in [7-10], and the impulsive differential inequalities in [ 11-13]. Using
the linear inequality techniques, many ... phenomena and
processes in the field of natural science and technology. In the last few decades, the
Wang and Ding Journal of Inequalities and App...