applications of differential equations in engineering sciences

... 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 ... 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 ... 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 14 of 15 RESEARC H Open Access Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential...

Ngày tải lên: 21/06/2014, 01:20

... flaring blazing The reduplication decreasing intensity: ã nh nhố nh: soft mild (less) ã xinh xinh xinh: pretty cute ã o : red reddish ã xanh xanh xanh: blue/green bluish/ greenish ã In ... 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 ... supermarket ã Second, some morphemes in the 2 language can increase or decrease the intensity of verbs, adjectives… E.g.: The reduplication increasing intensity: ã au au ing: hurt agony ã mnh mnh...

Ngày tải lên: 08/04/2013, 09:31

... 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 ... monomial of the form f(M)=  (i,j)∈I M ij , I a finite set of pairs of indices. Note the presence of the normalization factor N (=the size of the matrices) in the exponential. Note that the case of...

Ngày tải lên: 22/03/2014, 09:20

... 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 ... 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...

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Ngày tải lên: 24/04/2014, 17:22

... 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...

Ngày tải lên: 18/06/2014, 15:20

... 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 ... in every degree which is an eigenfunction of L. Specializing to second-order equations because of their importance in applications and leaving in this article the higher-order case because of...

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, ... in University (NCET-10-0022), the Key Project of Chinese Ministry of Education (210226), the Scientific Research Fund of Gansu Provincial Education Department (0804-08), and Qing Lan Talent Engineering ... Semigroups of Linear Operators and Applications to Partial Equations. In Applied Mathematical Sciences. Volume 44. Springer-Verlag, New York; 1983. 26. Ichikawa A: Stability of semilinear stochastic...

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 ... of linear Volterra integro-differential equations, ” Mathematical Models & Methods in Applied Sciences, vol. 18, no. 1, pp. 21–45, 2008. 2 L. Pandolfi, “Riesz systems and controllability of ... 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 −...

Ngày tải lên: 21/06/2014, 05:20

... suggestions in improving this paper. References 1 D. H. Hyers, “On the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, ... Andrzej Szulkin We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, ... in any medium, provided the original work is properly cited. 1. Introduction and preliminaries The study of functional equations stability originated from a question of Ulam 1940 concern- ing...

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