simple harmonic motion of a pendulum equation

... equation in a weak sense and application of the topological theory of a degree that allows to establish the existence of solutions onthe basis of a priori estimates and statements about passage to ... approximation-topological methods suggested and advanced in[3,4] are used in the paper It assumes replacement of the problem under consideration by an operator equation, approximation of the equation ... such that Z δ(v l k)→ Z δ(v0) in the space CG. For the proof ofLemma 5.6it is enough to repeat the proof of Lemma 3.2 in [21] andtake advantage ofLemma 5.6and (2.5) Lemma 5.8 For any z ∈ CG and

Ngày tải lên: 23/06/2014, 00:20

... eigenstates of the operator aKf (ˆn) with K = 2, 3, 4, and f an arbitrary real nonlinear operator-valued function of ˆn = a+a with a the bosonic annihilation operator In Eqs (2) and (3) the notation ... the fan state. We first derive the analytical expression of squeezing for arbitrary k, N , f and then study in detail the case of a laser-driven trapped ion characterized by a specific form of ... (6) is that trapped ions can be used to implement quantum logic gates24,25 and so far various kinds of nonclassical states have been proposed and observed26–30 in the motion of a trapped ion

Ngày tải lên: 16/12/2017, 02:25

... pollution source of a 1D parabolic equation from the initial and the final data The problem is ill posed and regularization is in order Using the quasi-boundary method and the truncation Fourier ... [], the authors considered the heat source as a function of both space and time variables, in the additive or separable forms Many researchers viewed the source as a function of space or time ... Trang 1R E S E A R C H Open AccessIdentification of the pollution source of a parabolic equation with the time-dependent heat conduction Nguyen Huy Tuan1,2*, Dang Duc Trong2, Ta Hoang Thong3and

Ngày tải lên: 16/12/2017, 03:46

... the random phasing, are then amalgamated to obtain the overall statistical properties of the sea state The success of this type of approach has previously Fig 6 Normalised second-harmonic box motion ... both simple and accurate In terms of the heave motion, a computationally efficient time-domain simulation, building upon a linear hydrodynamic description and a quadratic MOJS type drag term, leads ... quantification of the relative importance of wave-induced load amplifications and motion damping due to vortex shedding To enable a generic description of the problem at hand, a simple two-dimensional heaving

Ngày tải lên: 08/11/2022, 15:01

... Trang 1Chapter 3 Stoichiometry: Calculations with Chemical Formulas and Equations Trang 2Anatomy of a Chemical Equation Trang 3Anatomy of a Chemical Equation Reactants appear on the ... side of the equation CH4 (g) + 2 O2 (g) CO2 (g) + 2 H2O (g) Trang 4Anatomy of a Chemical EquationTrang 5Anatomy of a Chemical Equation The states of the reactants and products are written in parentheses ... Trang 30Calculating Empirical FormulasOne can calculate the empirical formula from the percent composition Trang 31Calculating Empirical Formulas The compound para-aminobenzoic acid (you may have

Ngày tải lên: 15/12/2022, 17:01

... (1991) Matsuyama, T, Ikerata, R: On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms J Math Anal Appl 204, 729–753 (1996) doi:10.1006/jmaa.1996.0464 ... nonlinear wave equations of Kirchhoff type with some dissipation Nonlinear Anal TMA 65, 243–264 (2006) doi:10.1016/j.na.2004.11.023 13 Yamada, Y: On some quasilinear wave equations with dissipative ... 15 Cavalcanti, MM, Guesmia, A: General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type Differential Integral Equations 18, 583–600 (2005) 16 Messaoudi,

Ngày tải lên: 20/06/2014, 21:20

... close to an exact solution of the equation?” Such a problem, called a stability problem of the functional equation, was formulated by Ulam [1] in 1940 In the next year, Hyers [2] gave a partial solution ... points of view In particular, Bag and Samanta [19], follow-ing Cheng and Mordeson [20], gave an idea of a fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michalek ... distribution, and reproduction in any medium, Trang 2We call a solution of (1.1) an additive map and a mapping satisfying (1.2) is called a quadratic map Now we consider the functional equation: f

Ngày tải lên: 20/06/2014, 22:20

... Trang 1Equation, Institute of Mathematicsand Mechanics-Azerbaijan National Academy of Science, 9, F Agayev Street, Baku AZ1141, Azerbaijan Full list of author information is available at the ... the asymptotic of the eigenvaluedistribution and regularized trace of the considered problem will be studied It is clear that because of the appearance of an eigenvalue parameter in the boundary ... Thisproblem arises upon separation of variables in heat or wave equations, when one ofthe boundary conditions contains partial derivative with respect to time To illustratethe problem and the proof in

Ngày tải lên: 21/06/2014, 02:20

... commercially available approaches are PeakForce QNM and Harmonic force microscopy or HarmoniX (Veeco, Santa Barbara, CA, USA) PeakForce QNM is based on the force-volume approach; however, the speed of ... modalities allow extraction of mechanical parameters of the surface with a lateral resolution and speed comparable to tapping-mode AFM imaging Based on this phenomenological study, the elastic ... uncertainty of approximately 39% of the average measured value In addition to these errors, experimental data are also influenced by the expected statistical variation due to heterogeneity of a large sample

Ngày tải lên: 21/06/2014, 04:20

... results appeared until 1978 when Th M Rassias generalized the Hyers’ result to a new approximately linear mappings 6 Following the Rassias’ result, a great number of the papers on the subject have ... 0 and d > 0 As consequences of the results we obtain asymptotic behaviors of the inequality as x k y s → ∞ 1 Introduction The stability problems of functional equations have been originated ... Trang 1Volume 2010, Article ID 432796, 13 pagesdoi:10.1155/2010/432796 Research Article Stability of a Jensen Type Logarithmic Functional Equation on Restricted Domains and Its Asymptotic Behaviors

Ngày tải lên: 21/06/2014, 07:20

... Cabada,1 Chengyue Li,2 and Stepan Tersian3 1 Departamento de An´alise Matem´atica, Facultade de Matem´aticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain 2 Department ... can be placed at the interface of certain mathematical fields, such as nonlinear differential equations and numerical analysis On the other hand, they are strongly motivated by their applicability ... to mathematical physics and biology The variational approach to the study of various problems for difference equations has been recently applied in, among others, the papers of Agarwal et al 10

Ngày tải lên: 21/06/2014, 11:20

... Journal of Mathematical Analysis and Applications, vol 124, no 2, pp 339–380, 1987 40 E K Ifantis, “Global analytic solutions of the radial nonlinear wave equation,” Journal of Mathematical ... Analysis and Applications, vol 124,... stability analysis of discrete Volterra equations,” Journal of Mathematical Analysis and Applications, vol 294, no 1, pp 310–333, 2004 31 Y Song and ... properties and asymptotic almost periodicity for linear Volterra difference equations in a Banach space,” Japanese... 2 F Brauer and C Castillo-Ch´ vez, Mathematical Models in Population Biology and

Ngày tải lên: 21/06/2014, 11:20

... well known that l∞β is a Banach space under the supremum norm A subset Ω of a Banach space X is relatively compact if every sequence in Ω has a subsequence converging to an element of X. for every ... Schauder fixed point theorem Let Ω be a nonempty closed convex subset of a Banach space X Let T : Ω → Ω be a continuous mapping such that TΩ is a relatively compact subset of X. Then T has at ... If T1 is a contraction mapping and T2is a completely continuous mapping, then the equation T1x  T2x  x has at least one solution in Ω. The forward difference Δ is defined as usual, that is, Δx

Ngày tải lên: 21/06/2014, 11:20

... 60–82, Coll Judea Samaria, Ariel, Israel, 1993 9 Y Domshlak and I P Stavroulakis, “Oscillations of first-order delay differential equations in a critical state,” Applicable Analysis, vol 61, ... Dorociakov´a and R Olach, “Existence of positive solutions of delay differential equations,” Tatra Mountains Mathematical Publications, vol 43, pp 63–70, 2009. 11 I Gy¨ori and G Ladas, Oscillation ... Karpuz, and ¨O ¨Ocalan, “Iterated oscillation criteria for delay dynamic equations of first order,” Advances in Di fference Equations, vol 2008, Article ID 458687, 12 pages, 2008. 6 G E Chatzarakis,

Ngày tải lên: 21/06/2014, 18:20

... reference data and the validation method may lack an appropriate reference This paper evaluates a validation method using simulated MR image data This provided an appropriate reference and allowed ... marker tracking algorithm suitable for the validation of MR-based motion and deformation tracking of soft tissue which has been validated against a “gold standard.” Acknowledgment This work was ... tetrahedron shown inFigure 4(b) All other appearances can be obtained by rotation and mirroring of the appearances in this tetrahedron Appearances 1–4 are the most symmetric appearances obtainable

Ngày tải lên: 21/06/2014, 19:20

... by Donal O’Regan We study the solvability of a nonlinear integral equation of Urysohn type Using the technique of measures of noncompactness we prove that under certain assumptions this equation ... Olszowy7 The reader is referred also to the paper by Bana´s et al.8, in which another measure of noncompactness is used to prove the solvability of an integral equation of Urysohn type on an unbounded ... Measures of noncompactness are frequently used in nonlinear analysis, in branches such as the theory of differential and integral equations, the operator theory, or the approximation theory There are

Ngày tải lên: 21/06/2014, 20:20

... University of Mashhad, Mashhad, Iran 3 Section of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, 4 Agamemnonos St., Aghia Paraskevi, Athens 15342, ... S Kaboli Gharetapeh,2 J M Rassias,3 and S Zolfaghari1 1 Department of Mathematics, Semnan University, P.O Box 35195-363, Semnan, Iran 2 Department of Mathematics, Payame Noor University of Mashhad, ... has f x  x2 among its solutions Thus, it has been called quadratic functional equation, and each of its solutions is said to be a quadratic function Hyers-Ulam-Rassias stability for the quadratic

Ngày tải lên: 21/06/2014, 20:20

... Hyers-Ulam stability of a functional equation in various normed spaces Hassan Azadi Kenary 1 , Sun Young Jang 2 and Choonkil Park 3* * Correspondence: baak@hanyang. ac.kr 3 Department of Mathematics, Research ... functional equation. J Inequal Appl 2011 (2011). Article ID 194394 13. Kenary, HA: On the Hyers-Ulam-Rassias stability of a functional equation in non-Archimedean and random normed spaces. Acta Universitatis ... Circolo Math Di Palermo. (to appear) 9. Kenary, HA, Shafaat, Kh, Shafei, M, Takbiri, G: Hyers-Ulam-Rassias stability of the Appollonius quadratic mapping in RN- spaces. J Nonlinear Sci Appl. 4,...

Ngày tải lên: 20/06/2014, 22:20

... mechanochemical nature of a- CT catalysis A more detailed analysis of the influence of chemical glycosylation on the dynamics of a- CT from the theor- etical simulations was additionally performed to gain a deeper ... modeled. Table S4. Average rmsd (A ˚ ) for the conserved catalytic residues calculated from MD simulations of a- CT and the various Lac -a- CT conjugates modeled. This material is available as part of ... quantitative analysis of the HX decay data was done by a two-exponential model: X ẳ A 1 exp k HX;1 ịt ỵ A 2 exp k HX;2 ịt ỵ A 3 where A 1 , A 2 , and A 3 are the fractions of the fast, slow and stable...

Ngày tải lên: 19/02/2014, 05:20

... EPA gratefully acknowledges Analytica Chimica Acta for the awarded bursary to present a paper at Euroanalysis X (Basel, Switzerland). The authors thank the crew of the R/V Belgica for their assistance ... seawater between an added metal chelating ligand (salicylal- doxime) and naturally occurring dissolved organic ligands have indicated that the establishment of an equilibrium may take more than ... higher salinity regions of estuaries and has been explained by an increase in major cation concentrations. Suspended particulate matter may consist of biological, organic and mineral phases [5] and...

Ngày tải lên: 15/03/2014, 23:56