applications of differential equations in life sciences

... nicepresentation of methods as well as results in the area In recent years, there has been an increasing interest in extending certain classical results to differential equations in Banach spaces In this ... abstract functional differential equations with infinitedelay, there are three kinds of definitions of stabilities In Sections 3 and 4, we provesome equivalence of these definitions of stabilities ... the case of almost periodic solutions of (linear and nonlinear)equations in Banach spaces To this end, in the first chapter we present introduc-tions to the theory of semigroups of linear operators

Ngày tải lên: 29/10/2015, 12:32

... variation-of-constants formula in the theory of linear ordinary differential equations So, we often call the representation formula obtained here the variation-of-constants formula in the phase space Such ... is finite dimensional, the representation formula for functional differential equations has been established by Hale [5] in the case of finite delay and by Murakami [16] in the case of infinite ... admissibility of some spaces of functions whose spectra are contained in a closed subset of the real line © 2002 Elsevier Science Key Words: functional differential equations; phase space; variation-of-constants

Ngày tải lên: 17/12/2017, 16:49

... 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, ... 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 this emer-ging field since it ... studied in [23] We first use a sharper definition (Definition 2.1) of square-mean almost auto-morphic process than the Definition 2.5 in [23] We then present some additional properties of square-mean

Ngày tải lên: 21/06/2014, 03:20

... the following Volterra equation: ut  Aut  t 0 at − sAusds, t ≥ 0, u0  x 1.1 in a Banach space X, with A being the infinitesimal generator of a C0-semigroup Tt defined on X, ... properties 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 ... ∩ iR is countable. Proof Since the first coordinate of2.5 is the unique solution of 1.1, it is easy to see that the strong stability and asymptotic almost periodicity of1.1 follows from

Ngày tải lên: 21/06/2014, 05:20

... denominators in both equations are equal This allows us to use some of the techniques developed in8 to completely obtain the solutions and give a nice description of the dynamics of the system In ... be to give a description of the dynamics of the system in terms of the eigenvalues of the associated matrixA given in 2.2 We begin with the following result concerning 2-periodic solutions ... the equilibrium point β2 1− α2/β2, β1 attracts every complete solution not starting on a point of the line x  0, c the solutions starting on a point x0, y0 of the line x  0 are prime

Ngày tải lên: 21/06/2014, 05:20

... 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, ... existence of a mapping c : G → Y such that the following hold. i c is a fixed point of J, that is, The mapping c is the unique fixed point of J in the set This says that c is the unique mapping verifying ... and we obtain the exis-tence of a mapping c : G → Y such that the following hold. i c is a fixed point of J, that is, c x  Fx, c The mapping c is the unique fixed point of J in the set

Ngày tải lên: 22/06/2014, 06:20

... uK0, then inequality (2.3) implies The following definition, which is a modified version of one introduced in [3], vides a kind of the strict inequality inX. pro-Definition 2.5 Let H be a linear ... the interior of the abovementioned cone in L ∞[0, 1] is empty The proofs of the results of this paper rely upon properties of a certain nonlinear tional associated with the wedgeK and a certain ... (2.29) is nonlinear 3 Mutual comparability of solutions of ( 1.1 ) The aim of this section is to establish certain conditions under which each two solutions of (1.1) lying in a certain linear manifold

Ngày tải lên: 22/06/2014, 18:20

... solvability of (1.2) inl∞spaces of sequences defined onN In the present paper, we will characterize the exponential dichotomy of (1.1) by the solvability of (1.2) in l p spaces (1≤ p < ∞) of sequences ... n belonging to a relevant sequence space (1.3) In the infinite-dimensional case, in order to characterize the exponential dichotomy of (1.1) defined onN, beside the surjectiveness of the operatorT, ... spaceX, we investigate the characterization of exponential dichotomy of the difference equations vn+1 = A n v n We characterize the exponential dichotomy of difference equations in terms of the exis-tence

Ngày tải lên: 22/06/2014, 22:20

... differential equations and the initial or boundary conditions may con-tain discontinuous nonlinearities; (5) problems on unbounded intervals; (6) finite and infinite systems of initial and boundary value ... that all well-ordered and inversely well-ordered chains of U have supremums and infimums in P. Proof (a) In both cases (A) and (B), the mapping x → x+is continuous inE and  x+ ≤  x for eachx ... definition (2.1) ofP. IfW is an inversely well-ordered chain in U, then − W is a well-ordered chain in − U. The above proof ensures thatv =sup(−W) exists in C(J, E) and belongs to P Thus, infW

Ngày tải lên: 23/06/2014, 00:20

... C-terminal half formedby three 27 amino acid-repeats rich in serine, lysine and glutamine residues Serine residues account for over 50% of the CotB C-terminal half The lysine residues in the ... (380 amino acids) or CotB∆105 (275 amino acids) or CotC (66 amino acids) as carrier proteins (all in blue) The three 27-amino-acids repeats of full lenght CotB and the part of them remaining in CotB∆105 ... differentiation of a growing cell into a dormant spore little is known about the mecha-nisms of protein incorporation into the coat, the nature of structural components forming the most external part of the

Ngày tải lên: 11/08/2014, 00:22

... generated from a single gene by selectively join-ing together exons of a primary transcript in different pat-terns (see, for example, [1] for a review) Thus, instead of coding a single protein, the same ... exons in the complex colon cancer study, demonstrating its high potential also in real biomedical applications We focused here mainly on the rankings of the exons, since in practice the ranking ... detection of differential splicing is the complexity of the splicing process Several types of splicing events have been observed, such as exon inclusion/exclusion, alteration of exon length, intron

Ngày tải lên: 14/08/2014, 21:20

... extended to ordinary functional ditferential equations (OFDE) of delay type in Trang 2[1], to OFDE with advance and delay in [5, 11, 12], to abstract functional differentia equations in [22] Recently, ... introduced by Massera in 1950 to ordinary differential equations, saying that the linear differential equation of the form b= Alt)e(t) + f(t), where A, f is continuous, periodic with the same period ... evolution equations in (15, 16, 17, 18] For a more complete introduction to thi topic we refer the reader to any introduction of these papers and counterexample for almost periodic equations in [7,

Ngày tải lên: 11/03/2015, 07:57

... identical to that in the reservoirs (except in the case of isoelectricfocusing) At the beginning of a common run, a small amount of sample is introduced (by pressure or electrical field) into the buffer-filled ... offenders and the appraisal of the consanguinity Amino acids, peptides and proteins Proteins are very important to life, the complex molecules of proteins are made of L- amino acids, which are carboxylic ... possibilities of applying hydrophobic compounds as terminating ions Since the miniaturization has received considerable attention in the recent development of CE The use of microfabrication techniques

Ngày tải lên: 11/09/2015, 14:27

... 32.6.1 Applying Semi-infinite Linear Diffusion on a Planar Electrode 2.6.3 Applying Semi-infinite Linear Diffusion on a Planar Electrode 2.7 Derivation of a Model for the Passivation of Metals ... unacceptability of chromates Trang 39c) Costd) Practicality on application of the coating in terms of handling and storage Section 2.10 Conducting Polymer Coatings Industrial treatment of carbon steel ... found that in acidic solution, polarisation of stainless steel in the passive potential region will result in selective dissolution of iron, leaving chromium in the passive film Whereas in basic

Ngày tải lên: 16/09/2015, 15:55

... Tightening the loyalty of customers - Increasing profits and income for business; - Expanding and maintaining market - Attracting labor and employment - Increasing production and sales of goods - Increasing ... solid business by responding to changing needs of residents and businesses in Asia The approach is based on establishing and maintaining personal relationships help AIA become a part of life in the ... families in Vietnam is capable of participating insurance based on their stable income Trang 163.2 Necessity of life insurance Individual’s safety needs is eternal in our society Through our life,

Ngày tải lên: 24/09/2015, 16:18

... 1Application of Computational Intelligence inBiological Sciences Xu Huan (B.ENG.) DEPARTMENT OF ELECTRICAL ENGINEERING A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE ... be used in searching probes of DNA microarray Thisthesis is mainly devoted into the development of (i) Searching Yeast Probe usingEvolutionary Strategy; (ii) Searching Human Probe using Evolutionary ... constrainedoptimization problems, it should incorporate the information of constraint violationinto the fitness value because all information of the quality of an individual isdetermined by its fitness value alone

Ngày tải lên: 30/09/2015, 13:41

... have nurtured life sciences industries (see Table 1) Of these, state funding of research, including investment in research infrastructure, is one of the more interesting areas The Chinese government ... eminently possible for emerging markets to become life sciences innovators A handful of emerging markets have gained ground over the past three decades, becoming innovators in their own right India, ... I’m out of the market.” Low margins and intense competition have fostered incremental process innovation such as finding methods for increasing yields—the amount of product obtained in a chemical

Ngày tải lên: 30/11/2015, 21:12

... 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

... 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 •...

Ngày tải lên: 08/04/2013, 09:31

... in nanotechnology have resulted in nano-scaled dispensers of insulin that, when combined with continuous monitoring of blood sugar levels, allow for the administering of the right amount of ... modularity, which allows mixing and matching of up to six DNA binding domains, fostering highly specific targeting of a diverse set of DNA motifs. Because of this feature, zinc fingers hold great promise ... MAP kinase cascade consists of a minimum of three kinase enzymes that, in response to particular stimuli, are activated in series by the MAP kinase above it in the signaling cascade. MAP kinase...

Ngày tải lên: 14/03/2014, 10:20