applications of differential equations in physics pdf

... presentation 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 infinite delay, there are three kinds of definitions of stabilities In Sections and 4, we prove some 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 introductions to the theory of semigroups of linear operators

Ngày tải lên: 29/10/2015, 12:32

... nonlinear integral inequalities and their applications in the qualitative analysis of differential equations Bin Zheng1*and Qinghua Feng1,2 * Correspondence: zhengbin2601@126.com 1 School of Science, ... Keywords: integral inequality, global existence, integral equation, differential equa-tion, bounded 1 Introduction During the past decades, with the development of the theory of differential and integral ... Shandong University of Technology, Zibo, Shandong 255049, China Full list of author information is available at the end of the article Abstract In this paper, some new nonlinear integral inequalities

Ngày tải lên: 21/06/2014, 01:20

... Mallat’s approach of introducing critical down sampling Mallat (1999; 1991) into the filter bank instead of factor-2. Before proceeding to translation invariant representation of wavelets and multiwavelets ... availability and simultaneous involvement of a number of compactly supported bases for scale-space representation of signals, rather than infinitely long sine and cosine bases as in Fourier analysis David ... measure using point to point difference is very sensitive to noise that could be introduced due to many factors such as difference in gain, illumination, lens distortion, etc. A number of real

Ngày tải lên: 10/08/2014, 21:22

... parameters By using Snell's law of refraction, angles of refraction (θ2 and θ5) are expressed as follows: sinsin n n θθ 5 1 sinsin n n θθ where n1 is the refractive index of air, and n2 is that of glass, ... Therefore, textures of these regions are interpolated by image inpainting algorithm (Bertalmio et al., 2000) This method can correct the noise of an image in consideration of slopes of image intensities, ... index of unknown liquid is estimated by using images of water surface (Fig 2) Discontinuous and disconnected edges of the object in the image of the water surface can be utilized for estimating

Ngày tải lên: 10/08/2014, 21:22

... Advances in Theory and Applications of Stereo Vision Once pixels of the 7x7 Census window are stored in registers, then the central procedure of the Census transform is executed: the central pixel of ... strings if F c is increased. After analysis on synthetic and real images, F c was set to 7, giving for every Census pixel, a string of 48 bits; fortunately only a circular buffer of D max strings ... architecture of this module is decribed on Fig. 15. This module requires a circular buffer of 8 lines in order to store results of the Mean operator, that is to say 12 bits pixels. The size of the working

Ngày tải lên: 10/08/2014, 21:22

... 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

... immunodepletion of cathepsins and furin on endosomal DT-degrading activity (A) ENs fractions were immunodepleted of active cathepsin D (a-CD), cathepsin B (a-CB), furin (a-furin) or insulin-degrading enzyme ... which displays a single substitution of Glu52 for Gly in the A-chain, the kinetics of association with hepatic endosomes of Trang 3Fig 1 Kinetics of the appearance of DT and mDT in the endo-lysosomal ... directed against DT at pH 7 was inhibited by hexa-d-arginine (HA), a com-petitive inhibitor of furin, and the metal-chelating A B Fig 3 Effect of protease inhibitors on the proteolysis of native

Ngày tải lên: 23/03/2014, 07:20

... exposure time-determine the basic characteristics of radiation I #{149} INTRODUCTION An understanding of basic x-ray physics includes knowledge of the principles of x-ray principles to produce ... contrast in a clinical The choice of focal spot size primarily also influences the amount of motion blur in an tube current and tube voltage settings, thereby affecting the exposure time In addition, ... is determined by The effect of focal spot size and magnifica-tion on blur in a clinical image is demonstrated fo-cal spot blur wifi increase as the focal spot size mar-gins are indistinct and

Ngày tải lên: 27/05/2014, 17:27

... Savchenko, B D Shanina and E N Kalabukhova V.E Lashkaryov Institute of Semiconductor Physics, National Academy of Science of Ukraine Ukraine 1 Introduction Semi-insulating (SI) silicon carbide ... mainly was focused on the identification of the intrinsic defects responsible for the SI properties of SiC At the same time, investigation of the role, which they play in the trapping, recombination, ... mainly was focused on the identification of the intrinsic defects responsible for the SI properties of SiC At the same time, investigation of the role, which they play in the trapping, recombination,

Ngày tải lên: 20/06/2014, 04:20

... assess their risk of contracting HIV. Including persons living with HIV/AIDS as part of the intervention may be beneficial in achieving this goal. In the second submodel, HIV testing was the dependent ... correlates of HIV testing. The statistical results of the hierarchical modeling provide insight into HIV testing among university students in Jamaica. In the first submodel, perception of HIV risk ... this barrier in hopes of improving the social cli- mate and, as such, increasing persons' willingness to seek HIV testing and counseling.[38] In addition to fear, students in the present

Ngày tải lên: 20/06/2014, 08:20

... compression permits retaining the depth ordering information, which reduces the ghosting effects in the non-overlapping areas in the anaglyph Therefore, the dynamic range reduction of the disparity ... City, Mexico 2 Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia Competing interests The authors thank the National Polytechnic Institute of Mexico and ... length of duration 2-k, as in Equation 2: up (x) = 1 2π ∞  −∞ ejux ∞  k=1 sin u· 2−k u· 2−k du. (2) The AF fupN(x) is defined by the convolution of spline θN-1(x) and AF up(x) in the interval

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, ... 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, ... examples 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 ... ∩ 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

... inequality (2.3) implies The following definition, which is a modified version of one introduced in [3], provides a kind of the strict inequality in X Definition 2.5 Let H be a linear manifold in ... = in the topology of X Since (2.21) can be rewritten in the form of the inclusion βm f − x, βm f + x ⊂ K, (2.22) taking into account the closedness of K and passing to the limit as m → +∞ in ... assertions of the statements of Sections and involving the linear manifold H become trivial when (2.9) is violated, and we thus not deal with this case in the proofs Proof of Theorem 3.1 In view of Remark

Ngày tải lên: 22/06/2014, 18:20

... family of dichotomy projections {Pn }n∈N satisfying kerP0 = Z (ii) TZ : lZ → l p is invertible p Proof We first note that the following proof is inspired by the proof of [14, ... Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol 840, Springer, Berlin, 1981 [8] N T Huy, Exponential dichotomy of evolution equations and admissibility of ... dichotomy of evolution equations on the. .. Stability of the notion of dichotomy of linear impulsive differential equations in a Banach space, Italian Journal of Pure and

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

... solutions of the system of linear algebraic equations Note that in the case under consideration the functionsp i(i =1, , m) in view of con-ditions (1.30) and (1.32) satisfy inequalities (1.22) (inequalities ... the pointa (at the point b). Problems (1.1), (1.2) and (1.1), (1.3) are said to be singular if some or all coefficients of (1.1) are non-integrable on [a, b], having singularities at the ends of this ... naturallyarises the problem of finding the conditions under which the unique solvability of prob-lem (1.1), (1.2) (of problem (1.1), (1.3)) in the space Cn −1,m(]a, b[) (in the space Trang 7p1(t)

Ngày tải lên: 23/06/2014, 00:20

... necessarily paying attention to the disposal of the increasing volumes of wastewater that are being discharged, in many instances, into the natural drainage systems and streams of the cities Figuratively ... used under official or informal conditions forirrigated farming A number of case studies of city and countryassessments of varying detail conducted in middleand low-income countries of Africa, ... separatesewers, showing that in many cities industrialcontaminants will find their way into municipalsystems Even in cities where wastewater is largely of domestic origin (90% of cities), the “betterquality”

Ngày tải lên: 27/06/2014, 04:20