linear equations of the second kind with constant limits of integration
báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
Ngày tải lên :
21/06/2014, 11:20
... solutions to second order linear difference equations in the first case For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... Difference Equations 3.2 The Error Bound for the Asymptotic Expansion of y2 (n) Now we estimate the error bound of the asymptotic expansion of the linear independent solution y2 n to the original ... values of parameters The first case is devoted to the situation when k > 0, and in the second case as k < where k 2p − q The whole proof of the result is too long to understand, so we divide the...
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HYERS-ULAM STABILITY OF THE LINEAR RECURRENCE WITH CONSTANT COEFFICIENTS DORIAN POPA Received 5 potx
Ngày tải lên :
23/06/2014, 00:20
... − |a| , (2.13) n ≥ The stability result for the p-order linear recurrence with constant coefficients is contained in the next theorem Theorem 2.3 Let X be a Banach space over the field K, ε > 0, ... (2.29) The theorem is proved Remark 2.5 If |rk | > 1, ≤ k ≤ p, in Theorem 2.3, then the sequence (yn )n≥0 is uniquely determined Proof The proof follows from Remark 2.2 Remark 2.6 If there exists ... |rs | = 1, then the conclusion of Theorem 2.3 is not generally true 106 Hyers-Ulam stability of a linear recurrence Proof Let ε > 0, and consider the sequence (xn )n≥0 , given by the recurrence...
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Tài liệu Báo cáo khoa học: Interaction between very-KIND Ras guanine exchange factor and microtubule-associated protein 2, and its role in dendrite growth – structure and function of the second kinase noncatalytic C-lobe domain docx
Ngày tải lên :
14/02/2014, 19:20
... derivatives: v -KIND, full-length v -KIND; DKIND1, deletion of KIND1 ; DKIND2, deletion of KIND2 ; DKIND1 + 2, deletion of both KIND1 and KIND2 ; DRasN, deletion of RasN; DGEF, deletion of RasGEF; KIND1 , KIND1 ... 37–217 456–620 KIND1 KIND2 v -KIND KIND1 KIND2 KIND1 +2 ΔRasN ΔGEF KIND1 KIND2 KIND1 -Flag RasN KIND2 -Flag 1461–1734 1742 GEF KIND1 +2-Flag dendrite axon ΔGEF-Flag KIND1 -Flag KIND2 -Flag α-Flag ... KIND2 -1 KIND2 -2 KIND2 -3 KIND2 -4 KIND2 -5 A 620 521 555 488 589 EGFP EGFP -KIND2 -1 EGFP -KIND2 -2 EGFP -KIND2 -3 EGFP -KIND2 -4 EGFP -KIND2 -5 EGFP -KIND2 EGFP -KIND1 v KIND v -KIND KIND2 KIND2 -1 + + + – – 487...
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Báo cáo Y học: The role of the second binding loop of the cysteine protease inhibitor, cystatin A (stefin A), in stabilizing complexes with target proteases is exerted predominantly by Leu73 pdf
Ngày tải lên :
17/03/2014, 10:20
... of the inhibitor in protease binding can differ with the target protease [28] The contributions of the N-terminal region and the first binding loop of family and cystatins, as well as of the second ... Leu73–Asn77 segment in the second binding loop of cystatin A After each of these steps, the conformation of the second binding loop in the complex was refined by energy minimization of the Leu73–Asn77 ... considerably decrease the contribution of the second binding loop of cystatin A to the inhibition of target proteases However, the flexibility of the second binding loop of cystatin A demonstrated...
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Báo cáo khoa học: Crystal structure of the second PDZ domain of SAP97 in complex with a GluR-A C-terminal peptide ppt
Ngày tải lên :
30/03/2014, 10:20
... proteins The secondary structural elements of SAP97 PDZ2 are included at the top of the sequence alignment The residues (Gly328-Leu329-Gly330-Phe331) of the carboxylate binding loop and the critical ... structures The solution structure of the second PDZ domain of PSD-95 has been determined by NMR [21], and, quite recently, coordinates of the PDZ2 domain of SAP102 crystallized in the absence of ligand ... (A) Superposition of the wild-type SAP97PDZ2 (green) in the peptide complex with the unliganded structure of the C378S variant (blue), highlighting the potential movements of the bA-bB loop and...
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báo cáo hóa học: " On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points" pptx
Ngày tải lên :
21/06/2014, 00:20
... where C is a constant independent of u and f Proof From the assumptions on the regularities of the coefficients apq and of the function f it follows that the solution (cN (t))N of the system (3.5), ... (t))N are the solution of the system of the following ordinary differential k k=1 equations of second order: (uN , ϕl ) tt t + B(t, uN , ϕl ) = (f , ϕl ) t , l = 1, , N, (3:5) with the initial ... 5.2.1]) Now let us give the main theorem of this section: Theorem 4.1 Suppose that all the assumptions of Theorem 3.4 hold for a given positive integer h Assume further that the strip m−ε− n n ≤...
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báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
Ngày tải lên :
21/06/2014, 11:20
... only the part of the results related to the exponential stability in the metric C0 and the related estimates of the norms of solutions in the case of exponential stability and in the case of the ... cause the positivity of S∗ In the following, ϕ H , ϕ1 G1 , H and ϕ2 G2 , H , have the same meaning as in Part The proof of the following theorem is similar to the proofs of Theorems 2.5 and 2.6 ... in the case of p exactly coincides with the statements of these theorems Therefore, we will restrict its proof to the main points only Theorem 3.1 A Let p be a fixed real number, β a positive constant, ...
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Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
Ngày tải lên :
21/06/2014, 20:20
... “Comparison theorems for linear differential equations of second order,” Proceedings of the American Mathematical Society, vol 13, pp 603–610, 1962 W Leighton, “Some elementary Sturm theory,” Journal of ... easily obtain the Sturm comparison theorem of second- order linear differential equations 1.3 Sturm-Picone Comparison Theorem Assume that x t and y t are the nontrivial solutions of 1.3 and a, ... comparison theorem of solution for second order nonlinear differential equations, ” Annals of Differential Equations, vol 19, no 3, pp 480–486, 2003 R.-K Zhuang and H.-W Wu, “Sturm comparison theorem of...
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Báo cáo hóa học: " Research Article Mean Square Summability of Solution of Stochastic Difference Second-Kind Volterra Equation with Small Nonlinearity" docx
Ngày tải lên :
22/06/2014, 19:20
... “Representation of solutions of difference equations with continuous time,” in Proe ceedings of the 6th Colloquium on the Qualitative Theory of Differential Equations (Szeged, 1999), vol 21 of Proc Colloq ... 1| + ν|β| + ν|β| + ν2 β2 < 1, (B.6) then there exists a big μ > so that the functional V satisfies the conditions of Theorem 1.5, and therefore, the solution of (2.1) is uniformly mean square summable ... is symmetric about the axis a Appendices A Proof of Theorem 2.1 In the linear case (g(x) = x), this result is obtained in [19] So, here we will stress only the features of nonlinear case Suppose...
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Báo cáo hóa học: "A REMARK ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS" pdf
Ngày tải lên :
22/06/2014, 22:20
... 1, the orbit of is the set Z of integers and the orbit of x0 is the translate of this set by x0 : OΦ (x0 ) = {x0 + μ}∞ μ=−∞ Lemma 3.1 Let x0 ∈ , μ,ν ∈ Z Let xμ = X ∗ Φ μ x0 Then the set of ... ⎜ ⎝ (2.13) s ts −1 Then det(A) = and the powers of Lemma 2.6 are independent The proofs of the lemmas: for Lemma 2.4 use induction on q For Lemma 2.5 the left side of the equation is Lq (p(λ)) ... is the inverse element to the element Φ in S according to multiplication ◦ in group Ᏻ Linear functional equations of the kth order with constant coefficients Let a j ∈ R, j = 0,1,2, ,k Then the...
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Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt
Ngày tải lên :
22/06/2014, 22:20
... accordance with the theory of linear equations, as the sum of the solution of adjoint homogeneous problem (3.1), (3.2) (satisfying the same initial data) and a particular solution of (3.15) being ... Discrete systems of the form (1.1) containing only one delay are often called systems with pure delay The main goal of the present paper is to extend the notion of the delayed exponential of a matrix ... investigation goes back to [10] dealing with the linear system of differential equations with constant coefficients and constant delay One of the systems considered has the form ˙ x(t) = Bx(t − τ), (1.3)...
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LYAPUNOV FUNCTIONALS CONSTRUCTION FOR STOCHASTIC DIFFERENCE SECOND-KIND VOLTERRA EQUATIONS WITH doc
Ngày tải lên :
23/06/2014, 00:20
... satisfy the conditions of Theorem 1.5, the additional component V2 (t) is chosen by some standard way Leonid Shaikhet 73 Linear Volterra equations with constant coefficients We demonstrate the formal ... number 3) For numerical investigation of the solution of (5.1), we determine one of the possible trajectories of the process η(t), t ≥ t0 , in the following way On the interval [t0 + nh0 ,t0 + (n + ... Volterra equations with continuous time To obtain a condition of another type for uniformly mean square summability of the solution of (5.14), transform the sum from (5.14) for t > in the following...
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ONE PARAMETER FAMILY OF LINEAR DIFFERENCE EQUATIONS AND THE STABILITY PROBLEM FOR THE NUMERICAL pdf
Ngày tải lên :
23/06/2014, 00:20
... to the number of roots of the characteristic polynomial inside the unit circle and the number of conditions at the end of the interval of integration is equal to the number of roots outside the ... to the number of roots of the characteristic polynomial inside the unit circle and, of course, the number of conditions at the end of the interval of integration should be equal to the number of ... we can choose to fix some of the (k − 1) additional conditions at the beginning of the interval of integration and the remaining at the end Later on, we will refer to the discrete problem obtained...
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ON WEAK SOLUTIONS OF THE EQUATIONS OF MOTION OF A VISCOELASTIC MEDIUM WITH VARIABLE BOUNDARY V. G. pptx
Ngày tải lên :
23/06/2014, 00:20
... L-condensing with respect to γk ¯ The definition of the L-condensing map is given in [3] The proof of theorem repeats the proof of Theorem 2.2 in [21] on the strength of ¯ ¯ Lemmas 5.6–5.8 and the inequality ... By this the proofs of the part of the results (which require the rather long proofs) are given in Section In Section 4, the main results are formulated, in Sections 5–7 the proofs of the main ... (7.17) The second term converges to zero by virtue of the assumption (7.16) and the continuity of the map C with respect to z By means of the change of the variable z = Zδ (wl )(s;t,x) (the inverse...
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Báo cáo toán học: "The Central Exponent and Asymptotic Stability of Linear Differential Algebraic Equations of Index 1" pdf
Ngày tải lên :
06/08/2014, 05:20
... spanned by solutions of (2.1), V (t) is the section of V at time t Notice that like a linear ODE, the solutions of the DAE (2.1) form a finite-dimensional linear subspace of the space of continuous Rm ... can use the restriction of X(t, τ ) to V instead of X in the above formula) Now we will derive some properties of the central exponent of linear DAE of index and of its corresponding ODE Theorem ... to the theory of ODE we show that each solution of (3.1) is a solution of a linear equation of the form Hoang Nam A(t)x + B(t)x + F (t)x = (3.3) Theorem 3.1 Any nontrivial solution x0 (t) of the...
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The concept of irony in jane austen, with constant reference to virginia woolf
Ngày tải lên :
16/10/2015, 12:00
... protagonist The blending of the protagonist’s voice with the narrator’s, together with evidence in the text that contradicts the views of either or both, ironise and destabilise the views of these ... denial of the affective powers of irony If the critics admit their emotional reaction to irony, then they risk becoming the object of irony: this personal stake in the concept of irony removes the ... particular the early 1900s Therefore, this study intends to compare her aesthetics to those of Virginia Woolf because the aesthetics of Woolf are concerned with the role of art, the artist and ways of...
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Designing an esp syllabus for the second-year students of library study at the national teachers training college
Ngày tải lên :
07/11/2012, 14:36
... the second year students of library study at the NTTC The author of the study is concerned with the second year students of library study, subject teachers and English teachers at the NTTC Other ... consideration of the students needs and the objectives of the course, together with the institutional bias of the teaching institution It implies that a material designer must analyze the needs of the ... contains of three types of cards for each item in the librarys collection The first type has the authors name or other persons or institutions The second has the title of the book or other item on the...
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An evaluation of the material “basic english iii” for the second year non- english major students at bac giang teachers’ training college
Ngày tải lên :
07/11/2012, 14:50
... 2006 with the hope that practical suggestions would be given for further improvements of the material in the near future to meet the target of ensuring the effectiveness of the teaching and the ... appropriateness of the material to the aims of the course, the author has based upon the analysis of the syllabus objectives and that of the material 3.1.1 Syllabus objectives analysis The course ... to the students’ age, knowledge of English, interest and so on - Aims of the materials: the evaluator has to check if the materials match the aims and objectives of the course - Content of the...
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