Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx

... 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.2006.05.013Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 14 of 15RESEARC H Open Access Some new nonlinear integral ... integral inequalities and their applications in the qualitative analysis of differential equationsBin Zheng1* and Qinghua Feng1,2* Correspondence:zhengbin2601@126.com1School of Science, ShandongUniversity...

Báo cáo hóa học: " Some new nonlinear retarded sum-difference inequalities with applications" doc

... Republic of ChinaFull list of author information isavailable at the end of the articleAbstract 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 nonlinear inequalities and applications to boundary ... Inequalities Involving Functions and Their Integrals and Derivatives. KluwerAcademic, Dordrecht (1991)15. Pachpatte, BG: Inequalities for Differential and Integral Equations. Academic Press, New York...

báo cáo hóa học: " Some new finite difference inequalities arising in the theory of difference equations" pptx

... 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 ApplMath 2006, 7:1-9, Article 52.2. Pachpatte BG: Inequalities applicable in the theory of finite differential ... decreasing in the secondvariable”, “f(m, n)is nondecreasing in the first variable a nd decreasing in the secondvariable” ,and b is decreasing in the second variable” in Theorem 2.8, then Theorem2.8...

Báo cáo hóa học: " Research Article Nonlinear Integral Inequalities in Two Independent Variables on Time Scales" potx

... investigate some nonlinear integral inequalities in two independent variables on time scales.Our results unify and extend some integral inequalities and their corresponding discrete analogueswhich ... we know. In this paper, we investigate some nonlinear integral inequalities in two independent variableson time scales, which can be used as handy tools to study the properties of certain partialdynamic ... nonnegative, right-dense continuous, and nondecreasing for t, s ∈ Ω. The remainder of the proof is similar to that of Theorem 2.3, and we omit it here. This completes the proof of Theorem 2.9.Remark...

Báo cáo hóa học: " Research Article Nonlinear Integral Inequalities in Two Independent Variables and Their Applications" docx

... 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 of papers investigatingthem such as [1–8]. In particular, ... and applications to initial boundary value problems,” in preparation.[10] S. S. Dragomir and Y H. Kim, “On certain new integral inequalities and their applications, ”Journal of Inequalities in...

Báo cáo hóa học: " Research Article Fair Adaptive Bandwidth and Subchannel Allocation in the WiMAX Uplink" pptx

... (within each SS) of the coupled-decompositions method in order to obtain new candidates γi.(5) Finally, the BS updates the value of the dual variableto μt+1using the dual projection and the ... be found in [14], where the authors take intoaccount intercell interference to constrain the subchanneltransmitting powers. Note that one interesting extension isthen the inclusion of subchannel ... extend in [9] their original work to generic OFDMA mesh networks, and the contributions in [10–12] are within the same context. Acommon feature in the last three references is that they splitthe...

báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc

... methods involve new differential inequalities and the classical fixed-pointtheory.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 mixedtype in the form of (1.2). The results presented in the following three statements aresimilar to Theorem ... al.’ s book [2] and references thereinfor details. For the recent developments involving existence of solutions to BVPs forintegro -differential equations and impulsive integro -differential equations...

Báo cáo hóa học: " Some new fixed point theorems for set-valued contractions in complete metric spaces" doc

... to some c ≥ 0. If c > 0, then by the above inequalities, Chen Fixed Point Theory and Applications 2011, 2011:72http://www.fixedpointtheoryandapplications.com/content/2011/1/72Page 2 of 8Letting ... 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 spaces.Theorem 3 [5]Let ... 2011:72http://www.fixedpointtheoryandapplications.com/content/2011/1/72Page 5 of 8 In 1989, Mizoguchi-Takahashi [4] proved the following fixed point theorem.Theorem 2 [4]Let (X, d) be a complete metric space and...

Báo cáo hóa học: " Some new identities on the twisted carlitz’s q-bernoulli numbers and q-bernstein polynomials" ppt

... 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]nq.(7)Therefore, by (7), we obtain the following theorem.Jang et al. Journal of Inequalities and Applications 2011, 2011:52http://www.journalofinequalitiesandapplications.com/content/2011/1/52Page ... al. Journal of Inequalities and Applications 2011, 2011:52http://www.journalofinequalitiesandapplications.com/content/2011/1/52Page 4 of 6with the usual convention about replacing (b(h))nbyβ(h)n,q.LetCpn=...

báo cáo hóa học: " A new nonlinear impulsive delay differential inequality and its applications" ppt

... 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 Applications 2011, 2011:11http://www.journalofinequalitiesandapplications.com/content/2011/1/11© ... differential inequalities. In [16], the authorsdevelop a new nonlinear delay differential inequality that works well in studying a class of nonlin ear delay differential systems. Indeed, nonlinear...

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