nanobiotechnology biologically inspired nanoengineering and their applications

... Integral Inequalities on Time Scales and Their Applications 1 School of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, China 2 School of Chemistry and Chemical Engineering, Qufu ... time scales We establish some new dynamic inequalities; the results unify and extend some continuous inequalities and their corresponding discrete analogues The inequalities given here can be ... 2 12 and the references cited there in In this paper, we investigate some nonlinear integral inequalities on time scales, which extend some inequalities established by Li and Sheng8 and Li

Ngày tải lên: 21/06/2014, 18:20

... Analysis and Applications, vol 235, no 2, pp 608–614, 1999. [8] J Kuang and L Debnath, “On new generalizations of Hilbert’s inequality and their applications,” Journal of Mathematical Analysis and Applications, ... [3–5], Yang and Debnath [6], Kuang [7], and Kuang and Debnath [8] gave some distinct improvements and generalizations of (1.1)-(1.2) Trang 22 Journal of Inequalities and ApplicationsYang and Rassias ... pagesdoi:10.1155/2007/90641 Research Article New Inequalities Similar to Hardy-Hilbert Inequality and their Applications L¨u Zhongxue and Xie Hongzheng Received 25 January 2007; Revised 7 July 2007; Accepted 22 November

Ngày tải lên: 21/06/2014, 22:20

... Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation Jianzhou Liu and Juan Zhang Department of Mathematics and Computational Science, Xiangtan University, ... stabilizable, and the pair Q, A is observable. In practice, it is hard to solve the ARE, and there is no general method unless the system matrices are special and there are some methods and algorithms ... unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited 1 Introduction In the analysis and design of controllers and filters for linear dynamical

Ngày tải lên: 22/06/2014, 02:20

... 167403, 12 pagesdoi:10.1155/2009/167403 Research Article On Some Quasimetrics and Their Applications Imed Bachar1 and Habib M ˆaagli2 1 Mathematics Department, College of Sciences, King Saud University, ... a refined version of the standard 3G inequality for polyharmonic operator is obtained in3, Theorem 2.8 and 4, Theorem 2.9 This allowed the authors to introduce and study an interesting functional ... quasi-metric on E and γ a non-negative symmetric function on E × E such that γ ∼ ρ, then γ is a quasi-metric on E. 3 Let ρ1and ρ2be two quasimetrics on E, then for all a ≥ 0, ρ1 aρ2and maxρ1, ρ2

Ngày tải lên: 22/06/2014, 03:20

... Variables and Their Applications Kelong Zheng, Yu Wu, and Shengfu Deng Received 10 June 2007; Accepted 27 July 2007 Recommended by Wing-Sum Cheung This paper generalizes results of Cheung and Ma ... y,s,t) = c(x, y)d(s,t) and n =1 in (1.4) Suppose thata(x, y) and c(x, y) are continuous, nonnegative, nondecreasing in x and nonincreasing in y; and d(s,t) is nonnegative and continuous We note ... obtain (2.1) by the continuity ofb1,inand the continuity ofW iand Theorem 2.4 In addition to the assumptions ( C1), (C2), and (C3), suppose that a(x, y) and d i(x, y,s,t) are bounded in x, y

Ngày tải lên: 22/06/2014, 18:20

... SPACES IN THE POLYDISC AND THEIR APPLICATIONSZEHUA ZHOU AND YAN LIU Received 27 December 2005; Revised 26 June 2006; Accepted 22 July 2006 LetU n be the unit polydisc ofCnandφ =(φ1, , φ n) a ... left-hand side of (2.16)→0 ass → ∞according to four cases Case 1 If ρ1< 1 and ρ2< 1, there exist r1andr2such thatρ1< r1< 1 and ρ2< r2< 1, so asj is large enough, | φ1( j s)| ≤ r1and| ... polydisc and classical symmetric domainswere obtained by Zhou and Shi in [8–10] They had already shown that C φ is alwaysbounded on the Bloch space of these domains, and also gave some sufficient and

Ngày tải lên: 22/06/2014, 22:20

... and Their Applications Der-Chen Chang and Yong Xu Received 26 September 2006; Revised 22 November 2006; Accepted 23 November 2006 Recommended by Wing-Sum Cheung Two new fractal measuresM ∗ sandM ... Considers =1 andE = Q ∩[0, 1], the set of rational numbers in [0, 1] ByLemma 2.4, we know thatM1(E) = M1([0, 1])=1 andM1({ q })=0 for anyq ∈ E, thus q ∈ E M1({ q })=0 We use a standard procedure and define ... For example, upper box dimension Δ and lower box dimensionδ are not σ-stable These two indices can be yielded from the upper and lower Minkowski contentsM ∗ sandM s ∗ We know that the Minkowski

Ngày tải lên: 22/06/2014, 22:20

... framework of random graph Nodes and links of a net-work are considered as vertices and edges of a random graph G(V, E), respectively, where V is the set of vertices, each with a random location, andE ... et al [2] and Li [3] adopted such kind of models, called random symmetric pla-nar point graph and random geometric graph, respectively Further studies go along in the framework of random graph ... such as the network topology and the max-flow capacity Moreover, in their landmark paper, Gupta and Kumar [4] took into account the distance be-tween the source and terminal of messages in measuring

Ngày tải lên: 22/06/2014, 22:20

... Trang 1Review articleGenetic transformation: a short review of methods and their applications, results and perspectives for forest trees 1 INRA, laboratoire de biologie cellulaire, route ... ef-ficiently and rapidly, but is also essential for the multiplication of transformed geno-types Molecular biology and genetics pro-vide insight into the nature, organization, and control of ... tobacco The intro-duction and expression of foreign DNA in a plant genome requires several steps: in-troduction of DNA into a cell, selection and growth of this cell, and regeneration of an entire

Ngày tải lên: 08/08/2014, 23:22

... method and the HJB equation 57 Next, let ( x ) ~ ~/1 + [xl 2 It is not hard to check that both D ( x ) and D 2 ( x ) are uniformly bounded, thus applying It6's formula to (Yc(t)), and note (1.22) and ... Clearly, f is as smooth as g and satisfying the following: (1.7) ~ / ( x , y) > O, V(x, y) 9 ~ x ~ m , I f ( x , y ) O, if and only if y = g(x) Trang 4w Solvability and the associated optimal ... e standard arguments using ItS's formula, Gronwall's inequality, and condition (1.22) will yield the following estimate (1.24) EIX~(t)I 2 <_ C(1 + ]x12), Vt r [0, T], c 9 (0, 1] Here and in

Ngày tải lên: 10/08/2014, 20:20

... in x and C 1 in t with H51der continuous v , ~ s and vt of exponent a and a12, respectively Moreover, we have (3.54) IwR(t,x)l < M, (t,x) e [ 0 , ~ ) • BR, and for any Xo C ~ " and T ... x , O ( x ) ) and ~(x) ~ a ( x , 0 ( x ) ) Therefore, X is a time- homogeneous Markov process with some transition probability density p(t,x,y) Since both b and ~ are bounded and satisfy a ... 2 Dividing h and letting h + 0 we derive lim~-~oo 8~(x) = 0 Further, note t h a t 1 8 ~ - a ( x , 8 ~ [ - b ( x , 8 ) S x + h ( x ) 8 - 1] T h e boundedness of 8, 8~, and 8~z and the assumption

Ngày tải lên: 10/08/2014, 20:20

... induced norm of H by (-, ")0 and [-10, respectively The duality paring between V and V' is denoted by ( , ) 0 , and the norms of V and V' are denoted by 1]" I[ and I[" []*, respectively ... duality paring between H 1 (]R n) and H - I ( ~ '~) by (-,-)0, and the inner product and the norm in L2(IR ~) by Trang 3112 Chapter 5 Linear, Degenerate BSPDEs (',')o and ] [0, respectively Then, ... 2.2 and 2.3 for B S P D E (1.5) with a and b replaced by ~ and b w U n i q u e n e s s of Adapted Solutions In this section, we are going to establish the uniqueness of adapted weak, strong and

Ngày tải lên: 10/08/2014, 20:20

... condition (2.2) and (H),~ (for some m _> 1) hold for (6.2) and (6.3) Then by Theorem 2.3, for any pairs (f, g) and (f, ~) satisfying (2.14), there exist unique adapted weak solutions (u, q) and (~, ... using transformation (2.11) and working on Our main comparison result is the following T h e o r e m 6.2 Let (1.6), (2.2) and (H),~ hold for (6.2) and (6.3) Let (f,g) and (f,~) satisfy (2.14) with ... case t h a t and ~ are not necessarily smooth enough, we may make approximation [] P r o p o s i t i o n 6.5 Let A, B, -5, b and -~ be independent of x Let f and be convex in x and nonnegative

Ngày tải lên: 10/08/2014, 20:20

... for suitable choice of 5 and Co Again, we let L be the common Lipschitz constant for b, a, h and g We will choose 5 and Co so that Trang 4w Some solvable FBSDEs 153 and (3.25) d(t) + KIc(t)l ... - 2 5 , Now, we take a(t) and c(t) as in (3.7) and we require (3.13) d(t)+(3L + 2L2)lc(t)l = -Co(Co - 3L - 2L2)e C~ - C o ( C o - 3L - 2L 2) ~ - 5 , Vt E [0,T], and (3.14) c(t) = - C o e C~ ... the space M The mean- ing of (3.17)' and (3.18)' are similar Here, we should point out that (3.17) implies m _> n and (3.17)' implies m ~ n Hence, (M) and (M)' overlaps only for the case m

Ngày tải lên: 10/08/2014, 20:20

... nondecreasing and RCLL paths, such that C(0) = 0 and C(T) < c~, a.s.-P; and E f J 17r(s)12ds < c~ Clearly, under suitable conditions, for a given strategy (Tr,C) and the initial values p > 0 and ... complete. [] Chapter 8 Applications of FBSDEs In this chapter we collect some interesting applications of FBSDEs. These applications appear in various fields of both theoretical and applied prob- ... 194 Chapter 8. Applications of FBSDEs Now from the second (backward) equation in (1.2), and noting that Y0 is non-random by Blumenthal 0-1 law, we have Y0 = EYo = Eg(XT); and setting t =

Ngày tải lên: 10/08/2014, 20:20

... Lipschitz) in the variables ~, x and 7r, and thus so is bo Moreover, note t h a t for any ~ (t, ~, ~, ~)g"(~) = ~)e~2g"(~ ~) is uniformly bounded and Lipschitz in ~, x and 7r by either (H5) or ... that both a l and f12 are adapted processes and are uniformly bounded in (t, w) Similarly, by conditions (H1) (H3) and (H5'), we see that the process O(.,P(.)) is uniformly bounded and t h a t ... (4.1) We assume the following (H6) b and a are independent of 7r and are time-homogeneous; g _> 0 and belongs boundedly to C 2+~ for some a E (0, 1); and r is uniformly bounded Define x(t)

Ngày tải lên: 10/08/2014, 20:20

... and those of the assumed damage in the structure is minimized The third example finds the 10 Bio -Inspired Computational Algorithms and Their Applications optimal link specification (lengths and ... and the band-width is relatively too narrow to give the most candidated optimal individual out of feasible region The Successive Zooming Genetic Algorithm and Its Applications 17 When the band-width ... no edge between nodes w2 = and w3 = , that is why this variation is not performed and NOM is not changed Ψ = wΨ 34 Bio -Inspired Computational Algorithms and Their Applications For proper variations...

Ngày tải lên: 28/06/2014, 17:20

... elements, their rejecter and retainer minors, their simple and scaled cofactors, their row and column vectors, and their derivatives have all been expressed in a notation which we believe is simple and ... space and will be used exclusively in this and later chapters However, many properties of particular determinants can be proved by performing a sequence of row and column operations and in these applications, ... adjective first and to refer simply to minors and cofactors and it is convenient to regard Mij and Aij as quantities which belong to aij in order to give meaning to the phrase “an element and its cofactor.”...

Ngày tải lên: 17/03/2014, 14:29

... manure from agriculture and wildlife or leaves [12] This is performed by bacteria and fungi The released ammonium ions and gaseous ammonia is again converted to nitrite and nitrate by bacteria ... ago, made up of hydrogen and helium with large concentrations of methane and ammonia Most of this early atmosphere was lost into space during the history of the planet and the remaining was diluted ... respiratory system, skin and eyes [38,39] The long term allowed concentration that people may work in is therefore set to be 20 ppm Immediate and severe irritation of the nose and throat occurs at...

Ngày tải lên: 19/03/2014, 16:47

... (2003), 253–321 Sum rules for Jacobi matrices and their applications to spectral theory By Rowan Killip and Barry Simon* Abstract We discuss the proof of and systematic application of Case’s sum rules ... the right-hand side of (1.23) is finite, then the left-hand side is also finite and LHS ≤ RHS Theorem If µ is a probability measure that obeys the Blumenthal Weyl criterion and the left-hand side ... F with F ∈ L1 (dν) and log F ∈ L1 (dµ) 292 ROWAN KILLIP AND BARRY SIMON Suppose first that µ is ν-ac with dµ = f dν and F is positive and continuous Let A = {x | f (x) = 0} and define ν by (5.13)...

Ngày tải lên: 28/03/2014, 22:20