maximum minimum and positive difference functions

... at least one positive solution if (H4 ) and (H7 ) or (H5 ) and (H8 ) hold Theorem 3.7 Assume that (H1 )–( H3 ) hold Then BVP 3.1 has at least two positive solutions if (H4 ), (H5 ), and (H7 ) or ... norm · and K is a cone in E For y ∈ K, we have by H1 and the definition of K, max y s t∈ −τ,T max y t y t 3.7 t∈ 1,T For every y ∈ ∂Kp , s ∈ 1, T , and k ∈ −τ, , by the definition of K and 3.5 ... where ξ, η ∈ 1, T and ξ < η, < τ < T , Δu t u t − u t , Δ2 u t R × Cτ → R is a continuous function, h ∈ Cτ and h t ≥ h ≥ for t ∈ −τ, , α, β, and γ are nonnegative real constants, and r t ≥ for t...

Ngày tải lên: 21/06/2014, 11:20

... with minimum and maximum: Δ2 u k − f k, u k , Δu k , u k : k ∈ T k ∈ T, max u k : k ∈ T A, 1.5 1.6 B, where f : T × R2 → R is a continuous function, a, b ∈ N are fixed numbers satisfying b ≥ a and ... functional differential equations in general form and for some cases of unbounded right-hand side of the equation see 1, Remark and , 2, Remark and In 1998, Stanˇ k worked on the existence of ... t h t, u, u , 1.8 is to be 1.7 , and F may not be bounded But as far as we know, there have been no discussions about the discrete problems with minimum and maximum in literature So, we use the...

Ngày tải lên: 22/06/2014, 11:20

... meta-study of previous experiments and find that the average of maximum and minimum available prices significantly affects the average price set even though the maximum and minimum available prices are ... effect of minimum and maximum available prices and has not checked it in his study I look through the experiments included in his meta-study, select the ones with payoff tables or minimum and maximum ... prices and synthesize them to test the relationship between the average price, minimum and maximum available prices and other experiment parameters with regression analysis The different minimum and...

Ngày tải lên: 16/10/2015, 11:59

... entertaining and informative book Dr Gross is a leading expert and strong proponent of consumer education and superfruit science, and following careers as a university scientist, entrepreneur, and food ... consumer education and superfruit science, and following careers as a university scientist, entrepreneur, and food industry consultant, he is the leading advocate for superfruits and superfruit science.” ... (“McGraw-Hill”) and its licensors reserve all rights in and to the work Use of this work is subject to these terms Except as permitted under the Copyright Act of 1976 and the right to store and retrieve...

Ngày tải lên: 06/03/2014, 05:21

... User-defined functions and user-defined table functions UDFs and user-defined table functions (UDTFs) are user-written programs that enrich the functionality of the database manager by adding new functions ... include working with the Linux and Microsoft® Windows® environment on the System i platform, DB2 and WebSphere in OS/400, i5/OS, and Linux, and Lotus® over OS/400 and i5/OS environment Daniel Lema ... triggers, and user-defined functions The main purpose of this IBM Redbook is to describe, in detail and with practical examples, the support of stored procedures, triggers and user-defined functions...

Ngày tải lên: 17/03/2014, 00:20

... single-stranded purine or pyrimidine strands) and whether enzymatic-induced cleavage of the NHE III1 occurred It now appears that NM23H2 binds to both the purine and pyrimidine strands of NHE ... eukaryotic and prokaryotic organisms [30,31] Furthermore, B 1:2:1 NHE III1 (i) S1 (iii) S1 S1 Wild-type NHE III1 S1 Negative supercoiling and G-quadruplexand i-motif-forming region Wild-type and mutant ... loop sizes and base composition (e.g one to seven and bases that have specific interactions), number of tetrads (i.e two, three or four) and inter-quadruplex binding sites in c-Myb and hTERT represents...

Ngày tải lên: 23/03/2014, 03:20

... 0.001) and 40 °C (P < 0.01), but not at 30 °C or 35 °C Differences between human aB and zebrafish aB1-crystallin were significant at all temperatures (P < 0.05) Differences between zebrafish aB1 and ... Additional studies will resolve aA-crystallin and aB1-crystallin and confirm the identity of modified and truncated products The relatively high abundance and strong chaperonelike activity of aA-crystallin ... semiquantitative RTPCR and found that zebrafish aB2 is constitutively expressed in multiple tissues (Fig 3) Expression was highest in the lens, moderate in brain, heart and skeletal muscle, and lowest in...

Ngày tải lên: 30/03/2014, 11:20

... MIDs Standard deviation multiplied by 0.2 Standard deviation multiplied by 0.3 Standard deviation multiplied by 0.33 Standard deviation multiplied by 0.5 8% of theoretical score range Standard ... avoid hypoglycaemia and its negative consequences and 2) worries about hypoglycaemia and its negative consequences Responses are made on a 5-point Likert scale where = Never and = Always This study ... treated with metformin and a sulphonylurea, and 107 patients with metformin and a glitazone For 17 patients it was unknown which of the two medication regimens they were on As the differences between...

Ngày tải lên: 18/06/2014, 19:20

... MIDs Standard deviation multiplied by 0.2 Standard deviation multiplied by 0.3 Standard deviation multiplied by 0.33 Standard deviation multiplied by 0.5 8% of theoretical score range Standard ... avoid hypoglycaemia and its negative consequences and 2) worries about hypoglycaemia and its negative consequences Responses are made on a 5-point Likert scale where = Never and = Always This study ... treated with metformin and a sulphonylurea, and 107 patients with metformin and a glitazone For 17 patients it was unknown which of the two medication regimens they were on As the differences between...

Ngày tải lên: 20/06/2014, 16:20

... Abstract In this article, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions Mathematics Subject Classification (2000): ... [12–14] In [13], Alomari and Darus defined co-ordinated s-convex functions and proved some inequalities based on this definition Another definition for co-ordinated sconvex functions of second sense ... co-ordinated convex functions by using Lemma and to establish some new Hadamard-type inequalities for co-ordinated s-convex functions by using Lemma 2 Inequalities for co-ordinated convex functions To...

Ngày tải lên: 20/06/2014, 21:20

... uniformly to the Riemann zeta function in some sense and connects the eFD and eBE functions We assume that ν is real and ≤ ν

Ngày tải lên: 21/06/2014, 02:20

... for an increasing homeomorphism and positive homomorphism on time scales Liu Yang∗1,2 and Weiguo Zhang1 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, ... where φ : R → R is an increasing homeomorphism and positive homomorphism and φ(0) = Here a projection φ : R → R is called an increasing homeomorphism and homomorphism, if the following conditions ... On Green’s functions and positive solutions for boundary value problems on time scales J Comput Appl Math 141, 75–99 (2002) [9] Agarwal, R, Otero-Espinar, V, Perera, K etc: Multiple positive solutions...

Ngày tải lên: 21/06/2014, 17:20

... Point Theory and Applications ¨ F Kraus, “Uber konvexe Matrixfunktionen,” Mathematische Zeitschrift, vol 41, no 1, pp 18–42, 1936 J Bendat and S Sherman, “Monotone and convex operator functions, ” ... pp 58–71, 1955 F Hansen and J Tomiyama, “Differential analysis of matrix convex functions, ” Linear Algebra and Its Applications, vol 420, no 1, pp 102–116, 2007 F Hansen and J Tomiyama, “Differential ... analysis of matrix convex functions II,” Journal of Inequalities in Pure and Applied Mathematics, vol 10, no 2, article 32, pp 1–5, 2009 W F Donoghue Jr., Monotone Matrix Functions and Analytic Continuation,...

Ngày tải lên: 21/06/2014, 20:20

... for an increasing homeomorphism and positive homomorphism on time scales Liu Yang∗1,2 and Weiguo Zhang1 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, ... where φ : R → R is an increasing homeomorphism and positive homomorphism and φ(0) = Here a projection φ : R → R is called an increasing homeomorphism and homomorphism, if the following conditions ... On Green’s functions and positive solutions for boundary value problems on time scales J Comput Appl Math 141, 75–99 (2002) [9] Agarwal, R, Otero-Espinar, V, Perera, K etc: Multiple positive solutions...

Ngày tải lên: 21/06/2014, 20:20

... be a positive Volterra operator, ρ S < 1, ≤ h1i t ≤ 0,∞ 0,∞ h2i t ≤ g1i t ≤ g2i t ≤ t, let the functions t, ξ and bi t, ξ be nondecreasing functions with respect to ξ for almost every t and let ... Inequalities and Applications where x ξ for ξ < 0, 2.17 with , bi ∈ L∞ and measurable functions gi and hi 0,∞ particular case of 2.14 i 1, , m This equation is a → L∞ be a positive Volterra ... r t be a nondecreasing function and the functions t, ξ and bi t, ξ be nondecreasing functions with respect to ξ, ≤ h1i t ≤ h2i t ≤ g1i t ≤ g2i t ≤ t, q t ≥ 0, and the following inequalities be...

Ngày tải lên: 22/06/2014, 03:20

... and Mtype functions and give several quantities for homogeneous P-type and M-type functions Furthermore, we give the concepts of P-property and M-property for a couple of functions, and obtain ... a P-type and positively homogenous function and q ∈ Rn Theorem 4.1 Let T : Rn → Rn be a P-type and positively homogeneous function with degree θ Suppose that T has inverse T −1 in Ᏼ and x is ... θ (2.2) where θ > is the positively homogeneous degree of T and · is a norm on Rn Theorem 2.1 Let T,S : Rn → Rn be two positively homogeneous functions with degrees θ and ρ, respectively Then...

Ngày tải lên: 22/06/2014, 18:20

... implant failure Clearly, materials and associate coating properties are needed which increase functions of osteoblasts (bone forming cells) and simultaneously decrease functions of fibroblasts One promising ... nanometer features in promoting bone cell functions and decreasing fibroblast functions, another key advantage of IPD is that the original particle size, chemistry, and crystallinity can be retained due ... (specifically, vitronectin) and subsequently greater osteoblast functions (from adhesion to the deposition of calcium containing mineral on nanograined Ti) and decreased fibroblast functions [12, 13] More...

Ngày tải lên: 22/06/2014, 18:20

... 127–133 (1986) 8 Supplements to the gamma and incomplete gamma functions [5] F Qi and S.-L Guo, Inequalities for the incomplete gamma and related functions, Mathematical Inequalities & Applications ... e−t dt, p (1.12) if x > (1 − 1/ p)1/ p x p Elbert and Laforgia established in [2] the following estimations for the functions et dt x −t p and e dt 1+ 1− u xp < p+1 x v xp < p+1 x x x p et dt ... ψ x+ x x + x− 1 + x− x x (2.2) Since G (1) = and G (x) > for x > it follows that G (x) < for x ∈ (0,1) and G (x) > for x ∈ (1,+∞) Therefore G(x), and consequently g(x), decrease for < x < 1,...

Ngày tải lên: 22/06/2014, 21:20

... the one hand, if b ≥ −1, this subspace is spanned by y1 On the other hand, if b < −1, it is spanned by y2 M Simon and A Ruffing 117 Remark 4.4 Similar statements hold in the cases (i) and (ii) ... b ≥ and b < before!) By Lemma 3.1, we can choose η0 arbitrarily, say η0 ≡ The difference equation (3.3) then yields 114 Power series techniques and Schr¨ dinger operators o η1 = η2 = η3 = and ... What are the coefficients αk and βk in the cases (i)–(iii)? (i) α0 = 1, αk = for all k ∈ N, and β0 = −B, β1 = d, βk = for all k ∈ N \ {1} (ii) α0 = 1, αk = for all k ∈ N, and β0 = −B, β2 = c, βk =...

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 05/08/2014, 09:46