fundamentals of natural environmental systems

... degradation of the natural environment by anthropogenic activities and regulatory pressures have driven modeling efforts toward natural systems Better understanding of the science of the environment, ... experience from engineered systems, and the availability of desktop computing power have also contributed to significant inroads into modeling of natural environmental systems Modeling studies ... Instantaneous Source of a Conservative Tracer in One Dimension For an infinite column, of background concentration of zero, and slug input of a tracer of mass M, the concentration as a function of time and...

Ngày tải lên: 13/08/2014, 05:22

... đầu hay mm Tần suất AV block thấp Huang and Wood, 2nd ed Catheter ablation of cardiac arrhythmias.2011 “Catheter ablation of AVNRT is the most scaring ablation procedure” Mark E Josephson, MD KẾT...

Ngày tải lên: 22/08/2015, 20:10

... diversity of products of the bank will attract more customers • Scale of bank activities: the size of capital affects the development and expansion of the bank, including consumer loan professional ... close relationship with each other under the control of the Board of Directors Being aware of the important role of THQV in the whole system of Techcombank, managers and staff at THQV continually ... efforts of outstanding loans as well as mobilization of capital growth and profit before tax of the average growth in recent years • Customers: In 2012, Techcombank will become increasingly on professional...

Ngày tải lên: 25/07/2013, 11:20

... that this area has enough capability of NO3-N removal In addition, low-permeable property of muddy soil might contribute to prolongation of retention time of groundwater, which results in promoting ... located at center of Kyushu area in southern part of Japan (Fig 1) Kumamoto city is the prefectural capital with a 670,000 population and the 267 km2 area Kumamoto city depends on 100 % of water supply ... Japanese Standard Methods for Examination of Water (Japan Water Works, 2001) - 21 - Journal of Water and Environment Technology, Vol 7, No 1, 2009 Table -1 List of the wells for survey in this study...

Ngày tải lên: 05/09/2013, 09:38

... part of the management of environmental risks in a sustainable way, and is a formal component of particular stages of regulatory regimes It allows for the structured and transparent balance of ... Detailed evaluation of options Outline of this stage of Model Procedures The purpose of this stage of options appraisal is to decide, for each relevant pollutant linkage, which of the feasible remediation ... Outline of this stage of Model Procedures The purpose of this stage of implementation is to monitor the effectiveness of remediation, to confirm predicted behaviour as an early warning of adverse...

Ngày tải lên: 31/03/2014, 13:20

... number of professional employees of VPBank reaches over 3,000, over 92% of them are under 40 and about 80% of them hold undergraduate and graduate degrees Recognizing that the quality of employees ... Qualified staff By 31 December 2011, the total number of professional employees of VPBank reaches over 3,000, over 92% of them are under 40 and about 80% of them hold undergraduate and graduate degrees ... increase of 24% over 2010, accounting for 30% of Vietnam's population This number of Internet users has become the target customers of many businesses, including banks VPBank is also aware of the...

Ngày tải lên: 23/04/2014, 16:41

... a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, Hunan University of Science ... −h −1 p−i (Hp x)(n + (i − 1)k), x ∈ X − 1) i=1 Clearly, the fixed point of Tp in X is a periodic solution of (1.1) Proof of Theorem 1.1 Let p = r and Ω = {x ∈ X : m ≤ x(n) ≤ M for n ∈ Z}, then ... Therefore, Tr has a fixed point x ∈ Ω by Lemma 3.2, which is a ω-periodic solution of (1.1) The proof is complete Proof of Theorem 1.2 Since g ∈ C [m, M ], max{g (u) : m ≤ u ≤ M } exists and max{g...

Ngày tải lên: 18/06/2014, 22:20

... http://www.boundaryvalueproblems.com/content/2011/1/37 Page 13 of 15 of (1.1) Finally, by Harnack inequality due to Trudinger [26], we obtain that Ul is a positive solution of (1.1) □ + Proof of Theorem 1.2 From Theorem 4.3, ... local minimizer of Jl on Nλand uλ ∈ Nλ / 1,p Then, Jλ (uλ ) = 0in (D0 ( ))−1 Proof The proof is similar to [[23], Theorem 2.3] and is omitted □ Lemma 3.3 Nλ = ∅for all l Î (0, Λ1) Proof We argue ... that ||ul||μ ® as l ® 0+ □ Proof of Theorem 1.1 From Theorem 4.3, it follows that the problem (1.1) has a posi+ tive solution uλ ∈ Nλ for all l Î (0, Λ0) □ Proof of Theorem 1.2 ¯ For

Ngày tải lên: 20/06/2014, 22:20

... and the uniqueness of the solution of problem (1.1), whose proof can be found in Han and Wang [19] (Theorem 2.1) with slight modification, so we will omit its proof In the proof, the authors adopted ... ||∇u(t)||2 + k2 ||∇v(t)||2 )p+2 2 (3:3) Proof The proof is almost the same that of Said-Houari [26], so we omit it here □ To prove our result and for the sake of simplicity, we take a = b = and introduce ... research of college graduate in Jangsu Province Grant No 181200000649 Author details Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems, School of Mathematical...

Ngày tải lên: 21/06/2014, 00:20

... function u∗ is a desired classical solution of 1.1 Since d > 0, u∗ is a nontrivial homoclinic solution The proof is complete Proof of Theorem 1.2 In the proof of Theorem 1.1, the condition that F2 ... that I u ≥ α, that is, assumption ii of Lemma 2.1 holds The proof of Theorem 1.2 is completed 14 Advances in Difference Equations Proof of Theorem 1.4 In view of Lemma 2.4, I ∈ C1 E, R We first ... Hamiltonian systems and their importance in the study of the behavior of dynamical systems have been already recognized from Poincar´ ; homoclinic orbits play an important role in analyzing the chaos of...

Ngày tải lên: 21/06/2014, 11:20

... respectively The existence of ground state solutions of Eb is affected by the shape of the domain Ω and b x that satisfies some suitable conditions and has been the focus of a great deal of research in recent ... we begin the proof of Theorem 1.1 By Theorem 3.4, we obtain that Eλa,b has a positive solution uλ in H0 Ω Proof of Theorem 1.2 In this section, we will establish the existence of the second positive ... the exact values of which are not important This paper is organized as follows In Section 2, we give some properties of Nehari manifold In Sections and 4, we complete proofs of Theorems 1.1 and...

Ngày tải lên: 21/06/2014, 11:20

... Problems h t ≡ 0, Korman investigated the uniqueness of positive solutions of the problem 1.1 by techniques of bifurcation theory However, the existence of sign-changing solution for this problem have ... Chinese P Korman, “Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems,” Proceedings of the Royal Society of Edinburgh A, vol 134, no 1, pp 179–190, 2004 ... Journal of Mathematical Analysis and Applications, vol 314, no 1, pp 254–265, 2006 10 R Ma, “Nodal solutions of boundary value problems of fourth-order ordinary differential equations,” Journal of...

Ngày tải lên: 21/06/2014, 16:20

... arise naturally when solving practical and phenomenon problems, in particular, in those which appear in the study of systems with automatic regulation and automatic control of various technical systems ... technical systems It often occurs that the law of regulation depends on maximum values of some regulated state parameters over certain time intervals Many studies of the existence of solutions are ... Identification of the parameters of the KelvinVoigt and the Maxwell fractional models, used to modeling of viscoelastic dampers Comput Struct 88 (2010) 1–17 Yu, F: Integrable coupling system of fractional...

Ngày tải lên: 21/06/2014, 17:20

... the weak solution of Pλ Ap- plying Theorems 4.1 and 4.4 of [44] and Theorem 1.3 of [37], we can easily get the following f results involving of the regularity of weak solutions of Pλ Proposition ... vλ such that vλ = uλ vλ , as a solution of (4.4λ ), must f satisfy vλ ≥ uλ , and vλ is also a solution of Pλ The proof of Theorem 1.2 is complete Proof of Theorem 1.3 (1) Let f satisfy (1.4), ... solution Proof f Let λ > λ∗ Take λ2 ∈ (λ∗ , λ) and let uλ2 be a positive solution of Pλ2 then f f uλ2 is a supersolution of Pλ We know that is a subsolution of Pλ Analogous to the f proof of Lemma...

Ngày tải lên: 21/06/2014, 17:20

... Then 1.1 has a unique T -periodic solution Proof Existence For the proof of existence, we use Lemma 1.1 First, let us consider the homotopic equation of 1.1 : ϕ x t λf x t x t λg x t λe t , λ ∈ ... the NSF of China, the NSF of Jiangxi Province of China 2008GQS0057 , the Youth Foundation of Jiangxi Provincial Education Department GJJ09456 , and the Youth Foundation of Jiangxi Normal University ... variants, where ϕp s of 1.1 However, there are seldom results about the existence of periodic solutions to 1.1 The main difficulty lies in the p-Laplacian-like operator ϕ of 1.1 , which is more...

Ngày tải lên: 21/06/2014, 18:20

... the number of positive solutions of nonlinear systems, ” Journal of Mathematical Analysis and Applications, vol 281, no 1, pp 287–306, 2003 21 S Xie and J Zhu, “Positive solutions of boundary ... solutions of second order singular dynamical systems, ” Journal of Mathematical Analysis and Applications, vol 344, no 2, pp 898–905, 2008 17 J Chu and J J Nieto, “Impulsive periodic solutions of first-order ... Boundary Value Problems The study of system of BVPs has also fascinated many authors System of BVPs with continuous nonlinearity can be seen in 20–22 and the case of singular nonlinearity can be...

Ngày tải lên: 21/06/2014, 20:20

... bi ψ ξi i n M bi cj j L υj x : ΥM n cj L x υj 3.7 j i Proof The proof is similar to that of Proposition 3.1 So we omit it For the sake of applying fixed point theorem on cone, we construct a cone ... conditions of Theorem 3.4 are also easy to check Acknowledgments This work is sponsored by the National Natural Science Foundation of China 10671012 and the Scientific Creative Platform Foundation of ... provided it is continuous at all right dense points of T and its left sided limit exists finite at left dense points of T We let Crd T denote the set of rd-continuous functions f : T → R Definition...

Ngày tải lên: 21/06/2014, 20:20

... convenience of the reader, we present here some notations and lemmas that will be used in the proofs of our main results Definition 2.1 The Riemman-Liouville fractional integral of order α > of a function ... following theorem Theorem 2.9 Adding condition 2.10 to the hypotheses of Theorem 2.8 one obtains uniqueness of the fixed point of f In our considerations, we will work in the Banach space C 0, R, ... Journal of Mathematical Analysis and Applications, vol 204, no 2, pp 609–625, 1996 S Zhang, “The existence of a positive solution for a nonlinear fractional differential equation,” Journal of Mathematical...

Ngày tải lên: 21/06/2014, 20:20

... and Mathematical Theory, vol 1748 of Lecture Notes in ˚z c Mathematics, Springer, Berlin, Germany, 2000 13 V V Zhikov, “Averaging of functionals of the calculus of variations and elasticity theory,” ... 1055–1067, 2007 29 A Djellit and S Tas, “Existence of solutions for a class of elliptic systems in RN involving the p x Laplacian,” Electronic Journal of Differential Equations, vol 2003, no 56, pp ... existence of solutions of the system; these results correspond to the sublinear and superlinear cases for p 2, respectively Inspired by the above-mentioned papers, we concern the existence of nontrivial...

Ngày tải lên: 22/06/2014, 03:20