systems of nonlinear equations and inequalities

... Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations M De la Sen Department of Electricity and Electronics, Institute of Research and Development of Processes ... differential and difference systems e.g., the so-called hybrid systems of increasing interest in control theory and mathematical modeling of dynamic systems,13–16 and the study of discretized models of ... difference equations of several types 1 9 Other equations of increasing interest are as follows: 1 stochastic difference equations and systems see, e.g., 10 and references therein; 2 nonstandard

Ngày tải lên: 01/11/2022, 08:30

... purpose of the Content Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis The accuracy of ... convenient for dealing with underdetermined systems of nonlinear equations on parallel computers, especially when the number of unknowns is much larger than that of equations. Keywords: ill-posed problem; ... experiments Underdetermined systems of equations arise in a variety of problems, such as, nonlinear comple-mentarity problems, problems of finding interior points of polytopes, image processing,

Ngày tải lên: 16/12/2017, 03:08

... Trang 1Equations Download free books at Trang 2Examples of Systems of Differential Equations and Applications from Physics and the Technical Sciences Calculus 4c-3 ... bookboon.com Trang 4Introduction 1 Homogeneous systems of linear dierential equations 2 Inhomogeneous systems of linear dierential equations 3 Examples of applications in Physics 5 6 44 62 72 88 ... Trang 55 Introduction Here we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences The reader is also referred

Ngày tải lên: 16/01/2021, 00:12

... Trang 1EXISTENCE RESULTS AND ITERATIVE METHOD FOR SOLVING SYSTEMS OFBEAMS EQUATIONS ∗ Center for Informatics and Computing Vietnam Academy of Science and Technology (VAST) 18 Hoang Quoc ... (t) ≥ 0. Proof. The existence of a solution (u(t), v(t)) of the problem in the case (i) is proved in a similar way as in Theorem 1, where instead ofD M and B[0, M ] there stand D++ M and S M −− ... functions. The proof of the cases (ii), (iii) and (iv) is similar to that of (i), where instead of the pair (D++ M , S M −−) there stand the pairs (D −− M , S M++), (D +− M , S M −+) and(D −+ Trang

Ngày tải lên: 28/06/2021, 11:02

... Trang 1EXISTENCE RESULTS AND ITERATIVE METHOD FOR SOLVING SYSTEMS OF BEAMS EQUATIONS ∗ Center for Informatics and Computing Vietnam Academy of Science and Technology (VAST) 18 Hoang Quoc ... (t) ≥ 0. Proof. The existence of a solution (u(t), v(t)) of the problem in the case (i) is proved in a similar way as in Theorem 1, where instead ofD M and B[0, M ] there stand D++ M and S M −− ... functions. The proof of the cases (ii), (iii) and (iv) is similar to that of (i), where instead of the pair (D++ M , S M −−) there stand the pairs (D −− M , S M++), (D +− M , S M −+) and (D −+ M ,

Ngày tải lên: 23/10/2022, 11:52

... Windows XP and MATLAB 7.0 running on a personal computer with an Intel Core 2 Duo CPU at 2.2 GHz and 2 GB of memory 3.1 Test on Nonlinear Systems of Monotone Equations We test the performance of our ... Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications Gaohang Yu,1Shanzhou Niu,2Jianhua Ma,2and Yisheng Song3 1 School of Mathematics and Computer Sciences, Gannan ... Performance profiles for the number of function evaluations (b) Performance profiles for the CPU time it can solve about80% and 70% of the problems with the best time and the smallest number of function

Ngày tải lên: 01/11/2022, 08:30

... i 3.24 0, , and the Theorem 3.3 Let cone P be fully regular and conditions H1 and H3 be satisfied Then the conclusion of Theorem 3.2 holds Proof The proof is almost the same as that of Theorem ... Journal of Mathematical Analysis and Applications, vol 291, no 1, pp 352–367, 2004 10 R Ma and N Castaneda, “Existence of solutions of nonlinear m-point boundary-value problems,” Journal of Mathematical ... V Lakshmikantham, and X Z Liu, Nonlinear Integral Equations in Abstract Spaces, vol 373 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996 K Deimling,

Ngày tải lên: 21/06/2014, 20:20

... 1997. [14] L Hu and L Wang, “Multiple positive solutions of boundary value problems for systems of nonlinear second-order differential equations,” Journal of Mathematical Analysis and Applica-tions, ... systems of boundary value problems,” Nonlinear Analysis: Theory, Methods & Applications, vol 42, no 6, pp 1003–1010, 2000. [23] H Wang, “On the number of positive solutions of nonlinear systems,” ... systems,” Journal of Mathematical Analysis and Applications, vol 281, no 1, pp 287–306, 2003. [24] Y Zhou and Y Xu, “Positive solutions of three-point boundary value problems for systems of nonlinear

Ngày tải lên: 22/06/2014, 00:20

... assertions of the statements of Sections3and 4involving the linear manifoldH become trivial when (2.9) is violated, and we thus donot deal with this case in the proofs Proof of Theorem 3.1 In view ofRemark ... the interior of the abovementioned cone in L ∞[0, 1] is empty The proofs of the results of this paper rely upon properties of a certain nonlinear tional associated with the wedgeK and a certain ... Introduction The aim of this note is to establish certain order-theoretical properties of the set of tions of the equation whereT : X → X is a (generally speaking, nonlinear and discontinuous)

Ngày tải lên: 22/06/2014, 18:20

... modulus of continuity Variants of this condition have been expedient tools in the study of maximal functions, singular integral operators, and partial differen-tial equations with nonstandard growth ... B4R and s > p+ B4R − p − B4R Then there exist constants q0> 0 and C depending on n, p, and L s(B4R )-norm of u such that Φv1,q0,B3R ≤ CΦv1,−q0,B3R Proof Choose a ball B2r ⊂ B4Rand ... B2rsinceB r ⊂ B2r, so that the right-hand side of (3.34) is bounded The rest of the proof is standard Since (3.34) holds for all ballsB2r ⊂ B4R, by the side of (3.34) such that −  B3R Using (3.35)

Ngày tải lên: 22/06/2014, 22:20

... 10$ 7+ (0$ 7, &6‹ 9$67  On the Hyperbolicity of Some Systems of Nonlinear First-Order Ha Tien Ngoan and Nguyen Thi Nga Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, ... this paper we study the hyperbolicity of some normal systems of first-order nonlinear partial differential equations, to which some multidimensional Monge-Amp`ere equations have been reduced in [8] ... devoted to the proof of the theorem when n = 2, n = 3, n = 4 and n = 5 For the last three cases we will prove that all the eigenvalues of the matrices C are real, and therefore, the systems (1.1)

Ngày tải lên: 06/08/2014, 05:20

... 1Nonlinear Equations and Their Solution by Iteration Nonlinear functional analysis is the study of operators lacking the property of linearity In this chapter, we consider nonlinear operator equations ... study of the profile of water waves on liquids of infinitedepth; and the equation involves interesting questions of solutions thatbifurcate See [149, p 415] Nonlinear Volterra integral equations of ... truncation of the geometric series for solving (5.2.7) This is left as Exercise 5.2.5 Nonlinear integral equations of the second kind Nonlinear integral equations lack the property of linearity

Ngày tải lên: 16/02/2015, 19:32

... ESTIMATION OF NONLINEARMODELS AND COVARIANCE MATRIX JIANG QIAN NATIONAL UNIVERSITY OF SINGAPORE 2012 Trang 2SHRINKAGE ESTIMATION OF NONLINEARMODELS AND COVARIANCE MATRIX JIANG QIAN (B.Sc and M.Sc ... when c → 0 and attracts lots of applications in econometrics, finance andbiology See, e.g., Chapter 3 of Franses and van Dijk (2000) 1.1.3 Varying Coefficient Model As a hybrid of parametric and nonparametric ... Cleveland, Grosse and Shyu (1991), assumes that of nonparametric modeling Trang 241.2 Research Objectives and Organization of the Thesis 11As for the estimation of the VCM model, Hastie and Tibshirani

Ngày tải lên: 09/09/2015, 17:55

... k-tuple of m×m matrices, (B1, , Bk) is a k-tuple of n × n matrices and (C1, , Ck) is a k-tuple of m × n matrices Then a matrix X is a simultaneous solution of the system of equations (1.2) if and ... Ak) be a k-tuple of m × m matrices, (B1, , Bk) be a k-tuple of n × n matrices, and (C1, , Ck) be a k-tuple of m × n matrices, and let Ti (1 ≤ i ≤ k) and FX be defined by (1.4) and (1.5), respectively ... solution of equations (1.2) if and only if the matrix X0 = Q∗XV is a simultaneous solution of equations A0 iX0− X0B0 i = C0 i, with C0 i = Q∗CiV Thus, in finding simultaneous solutions of Sylvester equations

Ngày tải lên: 16/10/2015, 09:33

... state of Bivium-A 90 4.11 Details of equations for Bivium-B 93 4.12 Details of equations for Trivium 95 4.13 Values of q, q′, and j for Trivium-A, Trivium-AB 96 4.14 Details of equations ... state-update and linear output 232.3.2 Linear state-update and nonlinear output 23 2.3.3 Nonlinear state-update and linear output function 25 2.3.4 Nonlinear state-update and nonlinear ... new systems of iii Trang 6ûe also show that the selection of stages which are used as input to the output functionand the siẺe of registers which are used in the construction of the system of equationsafect

Ngày tải lên: 07/08/2017, 15:39

... Conditions of access and use can be found at http://www.tandfonline.com/page/terms-and-conditions Trang 2On Linear Implicit Non-autonomous Systems of Difference EquationsL.C LOI, N.H DU and P.K ... purpose of the Content Any opinionsand views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis The accuracy of the ... Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41Mortimer Street, London W1T 3JH, UK Journal of Difference Equations and Applications Publication

Ngày tải lên: 16/12/2017, 02:52

... Trang 1Examples of Systems of Differential Equations Download free books at Trang 2Leif Mej lbr oExam ples of Syst em s of Differ ent ial Equat ions and Applicat ions fr om Physics and t he Technical ... ntroduction Introduction Here we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences The reader is also referred ... lighting offers an ininite spectrum of possibilities: Innovative technologies and new markets provide both opportunities and challenges An environment in which your expertise is in high demand Enjoy

Ngày tải lên: 16/12/2017, 07:56

... linearization of the closed loop system of Figure 2.4. First, we address the case of nonlinear actuators and sensors separately and then the case of nonlinearities in both actuators and sensors simultaneously. 2.2.2 ... Linearization of LPNI Systems 20 2.1 Stochastic Linearization of Open Loop Systems 20 2.1.1 Stochastic Linearization of Isolated Nonlinearities 20 2.1.2 Stochastic Linearization of Direct Paths of LPNI Systems ... Linearization of LPNI Systems 20 3 Analysis of Reference Tracking in LPNI Systems 66 4 Analysis of Disturbance Rejection in LPNI Systems 114 5 Design of Reference Tracking Controllers for LPNI Systems...

Ngày tải lên: 23/03/2014, 15:20

... A*F(X) A.SuchproblemwasstudiedbyLiaoetal.[15].Now,weintroducethefollowing definition. Berzig and Samet Fixed Point Theory and Applications 2011, 2011:89 http://www.fixedpointtheoryandapplications.com/content/2011/1/89 Page 2 of 10 RESEARC H Open Access Solving systems of nonlinear ... classes of nonlinear matrix equations (see [8-21]). In this study, we consider the following problem: Find (X 1 , X 2 , ,X m ) ẻ (P(n)) m solution to the following system of nonlinear matrix equations: X r i i = ... Tunisia Abstract In this study, both theoretical results and numerical methods are derived for solving different classes of systems of nonlinear matrix equations involving Lipshitzian mappings. 2000 Mathematics...

Ngày tải lên: 20/06/2014, 22:20

... in Difference Equations Volume 2010, Article ID 197263, 11 pages doi:10.1155/2010/197263 Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like ... and uniqueness of periodic solutions of the above equation are given by using Mawhin’s continuation theorem. Our results are new and extend some recent results due to Liu B. Liu, Existence and ... uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008. 1. Introduction In this paper, we deal with the existence and uniqueness of...

Ngày tải lên: 21/06/2014, 18:20