powerseries solution of odes

... finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems Atid Kangtunyakarn Correspondence: beawrock@hotmail.com Department of Mathematics, ... means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite ... [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{T n}∞ n=1be an infi-nite family of nonexpansive mappings of C into

Ngày tải lên: 21/06/2014, 01:20

... positive solution ut ∈ S. Trang 94 Maximal and Minimal Solutions TheoremIn this section, we consider the existence of maximal and minimal solutions for1.2 Definition 4.1 Let mt be a solution of ... notions of the fractional calculus and the theory of the operators for integration and differentiation of fractional order.Section 3is devoted to the study of the existence and uniqueness of positive ... and uniqueness of positive solution for1.2 utilizing the method of upper and lower solutions and Schauder fixed-point theorem The existence of maximal and minimal solutions for1.2 is given

Ngày tải lên: 21/06/2014, 07:20

... convergencetheorem of the proposed iteration under some control condition By using our main result, weobtain strong convergence theorem for finding a common element of the set of solution of a system of generalized ... commonfixed points of a family of nonexpansive mappings is of wide interdisciplinary interest andimportance Many iterative methods are purposed for finding a common element of thesolutions of the equilibrium ... Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings Atid Kangtunyakarn Department of Mathematics,

Ngày tải lên: 21/06/2014, 11:20

... monotone positive solution of the BVP 1.3 Theorem 3.2 If H1f∞< 1 < H2f0, then the BVP1.3 has at least one monotone positive solution Proof The proof is similar to that ofTheorem 3.1and ... problems,” Journal of Mathematical Analysis and Applications, vol 294, no 1, pp 104–112, 2004. 4 Y Feng, “Solution and positive solution of a semilinear third-order equation,” Journal of Applied Mathematics ... sufficient conditions are established for the existence and nonexistence of monotone positive solution to the BVP1.3 Here, a solution u of the BVP 1.3 is said to be monotone and positive if ut ≥

Ngày tải lên: 21/06/2014, 11:20

... Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval 1 Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China 2 School of ... nonnegative solution of the following initial value problem for a second order nonlinear impulsive integrodifferential equation of Volterra type on an infinite interval with an infinite number of impulsive ... investigate the existence of minimal nonnegative solution for a class of second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times Consider

Ngày tải lên: 21/06/2014, 11:20

... purpose of this paper is to develop the method of upper and lower solutions and the method of quasilinearization22–26 Under suitable conditions on f, we obtain a monotone sequence of solutions of ... hypotheses of Theorem 2.2 , the solutions of the BVP1.1, if they exist, are unique. presence of well-ordered lower and upper solutions Theorem 2.4 Assume that α, β are lower and upper solutions of ... solutions of linear problems converging uniformly and quadratically to a unique solution of the BVP1.1 Proof Conditions A1 and A2 ensure the existence of a unique solution x of the BVP

Ngày tải lên: 21/06/2014, 16:20

... the number of basic frequencies of ˙x  ψx, t, x ∈ R, is the same as that of basic frequencies of its unique solution Trang 2The spectrum containment of almost periodic solution of equationxt ... is a solution of 1.1, then xt  pxt − 1 are continuous at t ∈ R, which guarantees the uniqueness of solution of 1.1 and cannot be omitted To study the spectrum of almost periodic solution ... , m}. 2 The Statement of Main Theorem We begin this section with a definition of the solution of1.1 Definition 2.1 A continuous function x : R → R is called a solution of 1.1 if the following

Ngày tải lên: 21/06/2014, 20:20

... t/πa t/πb, t ∈ 0, π v0t is just a unique solution of 2.12 and u0t  v0t ωt is exactly a unique solution of 2.11 The proof ofTheorem 3.1is completed Now, we assume that there ... Introduction Minimax theorems are one of powerful tools for investigation on the solution of differential equations and differential systems The investigation on the solution of differential equations and ... pagesdoi:10.1155/2009/287834 Research Article The Solution of Two-Point Boundary Value Problem of a Class of Duffing-Type Systems with Jiang Zhengxian and Huang Wenhua School of Sciences, Jiangnan University,

Ngày tải lên: 21/06/2014, 20:20

... the solution of the AREsee 6 16 Moreover, in terms of 2,6, we know that an interpretation of trK is that trK/n is the average value of the optimal cost J∗as x0varies over the surface of ... Bounds for the Solution of the Algebraic Riccati Equations Komaroff 1994 in 16 obtained the following Let K be the positive semidefinite solution of the ARE1.4 Then the trace of K has 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 improve some of the

Ngày tải lên: 22/06/2014, 03:20

... summability of solution of (2.1) are obtained Similar results for linear equations of type (2.1) were obtained by authors in [8,10] 2.1 First summability condition To get condition of mean square ... 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 that for somek ≥0, the solutionD of (2.4) ... (A.9) holds, and therefore the solution of (2.1) is uniformly mean square summable It is easy to see that (A.11) is equivalent to conditions ofTheorem 2.1 B Proof of Theorem 2.7 Represent now (2.1)

Ngày tải lên: 22/06/2014, 19:20

... symmetric solutionX+ of (1) This equation has been considered, for example, in [2 7] In [2], the set of Hermitian solutions of (1) is characterized in terms of the spectral factors of the matrix ... of the solution This has been known for decades (see [18] and the references therein), a slightly re-fined variant that computes a low-rank factor of the solution in case of rank deficiency ofX ... columns of [Y1 Y2] span the desired deflating subspace of M − λN, then X ∗ = − Y2Y −1 is the desired solution of the DARE (4) See, for example, [9,15,16] and the references therein Hence, two of the

Ngày tải lên: 22/06/2014, 19:20

... and West hands At the risk of repeating some of the arguments, we mimic the proof of Theorem 6.1 The only essential difference between this proof and Trang 14the proof of Theorem 6.1 is that here ... give a complete solution of the combinatorial game of two-person single-suitwhist This game is played with a deck consisting of a single totally ordered suit of 2n cards Each of the two players ... subsets of {1, , n}, and they form a chain in L n Proof of Theorem 7.1 We now prove Theorem 7.1 by induction on n We consider a game of n card Generalized Greedy Whist We assume without loss of

Ngày tải lên: 07/08/2014, 13:21

... Z+, thesolutions of (1.1-1.2) were also interpreted as the q-characters of some representations ofThe same equations appeared in the context of enumeration of domino tilings of planedomains [21], ... (b), of the projection of (1, j, k) extremity of the projection of (1, j, k) onto the boundary Assuming as in Fig.3.5 (a) thatthe edge just before the upper extremity of the projection of (1, ... of the secondlayer lying at the vertical of the centers of the faces of the first layer Trang 10succession of edges (thick black line) and the two types of tetrahedrons A,B that connect them.with

Ngày tải lên: 08/08/2014, 12:22

... 1994a, b). The purpose of this paper is to demonstrate that the basic objective of the canonical transformation, ie, the reduction of a large linear system of equations into sets of smaller, sparser ... values influence the right-hand side of the RAM equa-tions, which after canonical transformation is of the form: After each solution of the reduced system of equations, or after each iteration ... The inclusion of the known relationship between traits in a joint analysis of these traits increases the amount of information available and as a result, improves the accuracy of prediction and

Ngày tải lên: 09/08/2014, 18:22

... the University ofManchester for the degree of Doctor of Philosophy in the Faculty of Science. October 1989 Trang 21.1.3 the propagation of derivative discontinuitiesthrough systems of delay-differential ... a model for the propagation of derivative discontinuities through systems of equations is presented Following a short resumd of standard techniques for the solution of ordinary differential equations ... organisation of lag function evaluations, back-solution approximationand order and stepsize controls Finally we present a selection ofnumerical examples and a discussion of the codes application

Ngày tải lên: 11/10/2014, 04:02

... The Numerical Solution of Delay-differential Equations by David Richard Wile Department of Mathematics University of Manchester volume II of II A thesis submitted to the University of Manchester ... 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 Z i . Our task is thus to obtain a set of lower bounds {c i : > ... closure of E. Heuristically, by an extension of the above arguments, we may think of Ei as defining the set of points whose continuity bounds can affect the continuity bound, c i , of y i .

Ngày tải lên: 11/10/2014, 04:03

... x1 x2 x M               If the number of unknowns is equal to the number of equations, N=M, we may be able to solve the set of equations, provided that the equations are unique ... method The set of equation has now become Next, we multiply Eq (8) by –a’ 32 /a’ 22 and add it to Eq (9), so that the set of equations become: This completes the first part of the Gaussian ... exercise Programming Exercise Make a FORTRAN program consisting of a main program, that reads the coefficients of the system of equations (n, a1,1…an,n , d1…dn) from an input file (IN.DAT) and

Ngày tải lên: 24/10/2014, 21:28

... peri-urban areas of Hanoi inner-city - Building a model and solution of MSW management of in the peri-urban areas of Hanoi inner-city relevant to the planning of solid waste management of Hanoi through ... Prof., Ph.D 2 Cu Huy Dau, Assoc Prof., Ph.D Referee 1: Nguyen Hong Tien, Assoc Prof., Ph.D Referee 2: Nguyen Lan, Prof., Ph.D Referee 3: Tran Thi Huong, Assoc Prof., Ph.D The oral defense of ... "Model and solution of municipal solid waste management in the peri-urban areas of Hanoi inner-city through 2030" is necessary 2 Purposes of the research - Improving the efficiency of state

Ngày tải lên: 20/06/2015, 09:02

... objective of this paper is to study the effect of crack orientation, depth and position on the natural frequency of the beam by using of analytical solution of general equation of motion of beam ... changing the value of moment of inertia of crack plate (Ic)with moment of inertia of oblique crack (Ioblc), as, Ioblc =w d−dv c 3 where, dvc is depth of crack in vertical direction of beam defined ... derivation of general equation of motion for beam with crack effect presented in paper [1], to derivation the general equation of motion of beam with oblique crack effect The derivation of equation of

Ngày tải lên: 09/09/2015, 10:17

... thanks and gratitude to mysupervisors, Prof Swee-Ping Yeo, Prof Cheng-Wei Qiu, and Prof Sa¨ıd Zouhdi, whooffer me the opportunity to learn about the theory of electromagnetic waves and fields,recommend ... Numerical Examples 70 3.4.2 Discussion of DCIM 79 3.4.3 Discussion of WFM 81 3.4.4 Discussion of MFHT method 82 3.5 Conclusion 83 4 Fast Solution of Dyadic Green’s Function for Multilayered ... UNIVERSITY)A THESIS SUBMITTED FORTHE JOINT DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING NATIONAL UNIVERSITY OF SINGAPORE AND ´ECOLE SUP ´ERIEURE D’ ´ELECTRICIT

Ngày tải lên: 10/09/2015, 08:30