the solution of the wiener hopf equations of the second kind

... algorithm for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality Algorithm 3.3 The approximate solution {un } ... GWHE(H,T,g,S,A) the set of solutions of the general Wiener- Hopf equation (2.5) If w ≡ 0, then (2.5) reduces to Tg −1 SPK z + ρ−1 QK z = 0, (2.6) which is called the general Wiener- Hopf equation ... use the general Wiener- Hopf equation (2.5) to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions...

Ngày tải lên: 22/06/2014, 06:20

... algorithm for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality Algorithm 3.3 The approximate solution {un } ... GWHE(H,T,g,S,A) the set of solutions of the general Wiener- Hopf equation (2.5) If w ≡ 0, then (2.5) reduces to Tg −1 SPK z + ρ−1 QK z = 0, (2.6) which is called the general Wiener- Hopf equation ... use the general Wiener- Hopf equation (2.5) to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions...

Ngày tải lên: 22/06/2014, 18:20

... Z} holds, where the sum of sets A and B is defined as A B {a b : a ∈ A, b ∈ B} We postpone the proof of this theorem to the next section The Proof of Main Theorem To show the Main Theorem, we need ... Equations The expressions of x2n , x2n , y2n , ω t , and x t are important in the process of studying the spectrum containment of the almost periodic solution of 1.1 Before giving the main theorem, ... brings more convenience to study the spectrum containment of almost periodic solution of 1.1 Now, we are in the position to show the Main Theorem The proof of Main Theorem Since H1 is satisfied,...

Ngày tải lên: 21/06/2014, 20:20

... distinguished solution of 2.1 , then the associated solution of 1.1 given by the formula k−1 Φ−1 xk j m wj rj is said to be the recessive solution of 1.1 , see Note that in the linear case p x of 1.2 ... v is any other solution of 5.15 Consequently, v is the distinguished solution of 5.15 and hence u is the recessive solution of 5.14 Now suppose that 5.12 holds Then all solutions w of 2.1 satisfying ... Then using the same argument as in the first part of the proof we have < vk < vk for large k for any solution v of 5.15 , that is, u is the recessive solution of 5.14 iii In 18 , we posed the...

Ngày tải lên: 21/06/2014, 20:20

... trace bounds for the product of two general matrices The new trace bounds improve the previous results Then, we present some trace bounds for the solution of the algebraic Riccati equations, which ... particularly as the dimensions of the system matrices increase Thus, a number of works have been presented by researchers to evaluate the bounds and trace bounds for the solution of the ARE see 6– ... Algebraic Riccati Equations Komaroff 1994 in 16 obtained the following Let K be the positive semidefinite solution of the ARE 1.4 Then the trace of K has the upper bound given by tr K ≤ n λ1 S n λ21 S...

Ngày tải lên: 22/06/2014, 03:20

... In the blocks effects general expression (3!, one can isolate in the coefficient matrix the diagonal corresponding to the fixed effects on the one hand and to the random on the other The off-diagonal ... transformed records on the canonical scale can be computed After solution of the mixed model equations on the canonical scale and backsolution on the original scale, new predictions for the missing values ... transformation is of the form: After each solution of the reduced system of equations, or after each iteration in YQi(P) and YQi(n) of [30] are computed again given completed, the missing terms the current...

Ngày tải lên: 09/08/2014, 18:22

... In this thesis we consider the development of numerical software for the solution of such problems Our discussion opens with a brief introduction to the theory of delay-differential equations ... ci, on the continuity of yi, it is sufficient to take the minimum of the propagated discontinuities originating from these points Furthermore, by the above argument, the degree of smoothing of such ... - then the solution of the DDE is merely the analytic continuation of the initial set For equation (7) that is simply y(t) = sin(t) For initial value delay-differential equations (IVDDE's) the...

Ngày tải lên: 11/10/2014, 04:02

... appendix we give a formal proof of the result (1.1.3:14) For any given time let the order of continuity of the component y i be Zi Our task is thus to obtain a set of lower bounds {c i : > ci ... construction C', co Cl = Applied to the error term (6) we then obtain — = - 0(hP+2) as required Thus the order of the effect of the spurious discontinuity at t = is one less than the local truncation error ... 16 32 (2) (3) Here the numbers (2) correspond to the side numbers in the program listing whereas those in (3) correspond to the page numbers used in the thesis The 'numbers of statements' (1)...

Ngày tải lên: 11/10/2014, 04:03

... that the c v values of the proposed method are generally lower than those of the Taylor method the δ p values of the proposed method are generally higher than those of the Taylor method The present ... evaluating the coefficient of consolidation and end of primary settlement based on a direct solution of the Terzaghi theory This new method determines the coefficient of consolidation utilizing the ... that the identification of the experimental range of primary consolidation that corresponds to the Terzaghi theory is of primary importance for a realistic determination of the coefficient of consolidation...

Ngày tải lên: 21/03/2013, 14:09

... 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), (3.6) ... (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 ≤...

Ngày tải lên: 21/06/2014, 00:20

... conditions of {sn}, {rn}{an}, g, they proved that {xn} converges strongly to an element of the set of variational inequality problem and the set of a common fixed point of a finite family of nonexpansive ... [11-16]) The set of the solution of (1.4) is denoted by V I(H, B, M) Let C be a nonempty closed convex subset of Banach space X Let {Tn }∞ be an infin=1 nite family of nonexpansive mappings of C ... Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems Fixed Point Theory and Applications 2011 2011:38 ...

Ngày tải lên: 21/06/2014, 01:20

... 1.3 Section shows that operator T satisfies the hypothesis of the Banach fixed point theorem and thus the sequence {T m z0 }m∈N converges to the solution z of 1.1 for any z0 ∈ C 0, However, such ... dv εk , and therefore, T zk−1 − zk ≤ εk 3.8 as announced The next result is used in order to establish the fact that the sequence defined in Theorem 3.1 approximates the solution of the nonlinear ... Clearly, Tn is a partition of 0, Let ΔTn denote the norm of the partition Tn The following remarks follow easily from the interpolating properties 2.3 and 2.6 and the mean-value theorems for one and...

Ngày tải lên: 21/06/2014, 10:20

... is a solution of 2.11 if and only if u satisfies the operator equation ∇F u 2.25 The Main Theorems Now, we state and prove the following theorem concerning the solution of problem 2.11 Theorem ... 0, π v0 t ω t is exactly a unique solution of v0 t is just a unique solution of 2.12 and u0 t 2.11 The proof of Theorem 3.1 is completed Now, we assume that there exists a positive integer N ... Journal of Mathematical Analysis and Applications, vol 322, no 2, pp 629–644, 2006 12 Boundary Value Problems H Wenhua, “A minimax theorem for the quasi-convex functional and the solution of the...

Ngày tải lên: 21/06/2014, 20:20

... to compute the solution of the Riccati equation (and is therefore cheaper than the QZ algorithm which requires about 422n3 arithmetic operations) The cost of the different steps of the approach ... , λn } Therefore, if we can compute Y1 , Y2 ∈ Rn×n such that the columns of [ Y1 ] span the desired deflating subspace of Y2 − M − λN, then X∗ = −Y2 Y1 is the desired solution of the DARE (4) ... amount of work Of course, the accumulation of the Z matrix requires O(n2 ) arithmetic operations as in the QZ step Moreover, by forcing the symplectic structure, the above-mentioned problems of the...

Ngày tải lên: 22/06/2014, 19:20

... VND * Detail of solution and Pressing key process : - Make the general function: Let U0 is the value of deposit at first (VND), a is the interest rates every month (%), n is amount of months (months), ... get the result Problem 2: * Result: 26.71628647 * Detail of solution and Pressing key process : To find the following remainder of expression: 30 x + x + 19 x + 75 x − 2010 3x − Base on one Theorem ... round this result, we have the value of deposit 88 507 100 VND Problem 5: * Result: 49863 * Detail of solution and Pressing key process : Using the programming on the VietnamCalculator Vn -...

Ngày tải lên: 09/07/2014, 09:00

... coded by the concatenation of their networks, by identifying the right vertices of the network of the first matrix to the left ones of that of the second The result is in general a rectangle of height ... from the left (like in Fig.4.2) or from the right (for the other choice of diagonal in the i-th tetrahedron from the bottom), and of what the three arguments of the H or V factors are (via the ... generalization of the frieze result By analogy with the frieze solution, let us define the projection of (1, j, k) on the boundary as the portion of the boundary between the edge fj−k+1 and the edge...

Ngày tải lên: 08/08/2014, 12:22

... 3.1.1 The views: Integrated management of MSW in the peri-urban areas of Hanoi inner-city is the responsibility of the whole society; is one of the priorities of environmental protection in the ... considering the structure of the systems: The target of system must be taken as the standard; Management must be associated with people in the system When analyzing the organizational structure of the ... areas of Hanoi inner-city before the impact of the process of urbanization so far 1.9 The problems need for further research - Clarifying the concept of peri-urban areas, suburbs - Determine the...

Ngày tải lên: 20/06/2015, 09:02

... decreasing the natural frequency of the beam The position of crack in the beam near the middle of the beam has more effect on the stiffness and natural frequency of beam from the other positions ... The crack causes, as expected, a decrease in the stiffness of beam, and then, decreases the natural frequencies of flexural vibrations of the beam The orientation of crack through the depth of ... decreasing with increasing the crack angle The crack in the beam has an effect on the stiffness of the beam, this will affect the frequency of the beam, so with increasing of the crack depth this will...

Ngày tải lên: 09/09/2015, 10:17

... 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 ... 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 ... needs analysis to assess the needs of the learners Basing on the result of this analysis, the aim and the objectives of the syllabus will be set up and the content of the syllabus will be selected...

Ngày tải lên: 07/11/2012, 14:36

... material 2 Significance of the thesis The findings of the thesis will be useful not only to the researcher, and the course book designers but also to the teaching staff and the second year non- English ... 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 ... Results 3.2.1 The Suitability of the Material to the Aims of the Course 31 Results from teachers’ questionnaire (Questions 1-6) about the suitability of the material to the aims of the course are...

Ngày tải lên: 07/11/2012, 14:50