applications of differential equations in real life problems

... solu- tions of a delay differential equation, while in the second example, we will obtain the bound of the solutions of an integral equation. For the sake of proving the global existence of solutions of ... validity of the present integral inequalities. 2 Main results In the rest of the paper we denote the set of real numbers as R,andR + =[0,∞)isa subset of R. Dom(f)andIm(f) denote the definition domain ... Zheng and Feng: Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations. Journal of Inequalities and Applications 2011 2011:20. Submit...

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... an indication of the meaning of words. They also have a fixed spelling. Because morphemes are represented in spelling, many word that is seemed to have an unpredictable or irregular spelling ... time and scope, we have introduced some features of English morpheme system as well as its importance in learning English in general and spelling, developing vocabulary in particular. It’s also ... mạnh mẽ: strong → powerful • rực → rực rỡ: flaring → blazing The reduplication decreasing intensity: • nhẹ → nhè nhẹ: soft → mild (less) • xinh → xinh xinh: pretty → cute • đỏ → đo đỏ: red → reddish •...

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... current DA tagging as a work in progress. 4.3.3 Zone coding Each of the five main areas had a correspond- ing set of subzones. A subzone is a building, a room within a building, or any other ... activities (quest- ing, competing, fighting, etc.) and communicate via chat or speech using assumed screen names. We collected a corpus of 48 group quests in Second Life that jointly involved 206 ... corresponding se- ries of progressive moments in time portraying en- try into the Bank subzone as represented in RAT. In the annotation, each avatar name is recorded in or- der of its entry into the subzone...

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... expression in (16), bearing in mind that when k =0the total is just N 2 , the number of terms in the sum over j and l. Random Matrices and Number Theory 5 APPLICATIONS OF RANDOM MATRICES IN PHYSICS ing. ... and enjoy rapidly growing list of applications in seem- ingly disconnected disciplines of physics and mathematics. A few recent, randomly ordered, examples of emergence of the Random Matrix Theory ... connection between the Riemann zeros and the primes. In outline, the proof involves computing the pair correlation function of the derivative of N(T ). Using the explicit formula (5), this pair correlation function...

Ngày tải lên: 22/03/2014, 09:20

... this discipline often extends not only into the realms of technology, but also into the domains of the fine arts, for it engenders unparallel potential for creativity and imagination in its practice. ... trove of information and a joy to read, bringing each named reaction to life and conveying a strong sense of its utility and dynamism. The inclusion of an up-to-date reference listing offers ... formation of tetrahydropyridines, which are key intermediates in the synthesis of piperidines. A one-pot, two-step synthesis of unsaturated piperidines from 2-ketoaziridines utilizing the aza-[2,3]-Wittig...

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... study the release of progeny FCS instrumentation for use in living cellsFigure 1 FCS instrumentation for use in living cells. On the left hand, there is schematic FCS setup including laser excitation ... type of electromagnetic spectroscopy which analyzes fluorescence from a sample. The sample is excited by using a beam of light which results in emission of light of a lower energy resulting in an ... Medicine Open Access Review Emerging applications of fluorescence spectroscopy in medical microbiology field Aamir Shahzad* 1 , Gottfried Köhler 1 , Martin Knapp 2 , Erwin Gaubitzer 2 , Martin...

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... ntegrable on the interval I deter- mined by roots of a(x); (3) a(x)p(x )vanishesattheendpointsofI and, in case there is an end point at infinity, the product a(x)p(x)P(x) should vanish at infinity for ... is integrable on the entire interval. The integrability of the weight function determines the differential equation and finiteness of the norm of poly nomials ensures that manipulations as in ... be determined, resulting in significant reduction in computational complexity of such problems. 2000 MSC: 33C45; 34A05; 34A30; 34B24. 1 Introduction Polynomial solutions of differential equations...

Ngày tải lên: 20/06/2014, 22:20

... solutions on different kinds of deterministic differential equations have been considerably investigated in lots of publications [5-15] because of its signifi- cance and applications in physics, mechanics, ... solutions for a class of stochastic differential equations in a real separable Hilbert space. We study also some properties of square-mean almost automorphic functions including a compostion theorem. ... Our main result is established by using fractional powers of linear operators and Banach contraction principle. The obtained result can be seen as a contribution to thi s emer- ging field since...

Ngày tải lên: 21/06/2014, 03:20

... are given to illustrate our results. 1. Introduction Owing to the memory behavior cf., e.g., 1, 2 of materials, many practical problems in engineering related to viscoelasticity or thermoviscoelasticity ... the boundedness of St. Therefore, f  t  : S  t  x 2.38 is bounded and uniformly continuous on 0, ∞. In addition, the half-line spectrum set of ft is just the following set:  iη ∈ ... 0 α  e τ· ∗ f   t   0 2.42 uniformly for t ≥ 0. Finally, combining 2.40 with Theorem 7, Theorem 4.1, we complete the proof. 3. Applications In this section, we give some examples to illustrate...

Ngày tải lên: 21/06/2014, 05:20

... β 2 x 0 /y 0 . Our main goal will be to give a description of the dynamics of the system in terms of the eigenvalues of the associated matrix A given in 2.2. We begin with the f ollowing result concerning 2-periodic ... that the fixed points 0, ± √ α 2  are not attracting, since every solution starting on the line x  0 is 2-periodic. Remark 4.8. It is interesting to notice that, in the three cases in which there ... the solutions starting on a point of the line x  0 are prime period-two solutions except the two equilibrium points 0, ± √ α 2 , c the solutions starting on a point of the lines β 2 x α 2 −...

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