systems of nonlinear equations applications

... 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 algorithms for solving some mono-tone equations (see details in the ... Prediction-Correction 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, ... [3] Moreover, we can convert some monotone variational inequality into systems of nonlinear monotone equations by means of fixed point maps or normal maps [4] if the underlying function satisfies

Ngày tải lên: 01/11/2022, 08:30

... 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, ... system of operator equations where F i, 1≤ i ≤ N, are possibly nonlinear operators mapping a Hilbert space X of unknown parameter x into Hilbert spaces Y i of observations y i In the case of noisy

Ngày tải lên: 16/12/2017, 03:08

... 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 (IIDP), Faculty of ... the properties of the solutions of nonlinear difference equations of several types 1–9 Other equations of increasing interest are as follows: stochastic difference equations and systems see, e.g., ... sum of entries of the main diagonal of W which equalizes the sum of nonnegative real eigenvalues of W which are also the squares of the modules of the eigenvalues of A, i.e., the squares of the

Ngày tải lên: 01/11/2022, 08:30

... 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 ... Methods & Applications, vol 69, no 2, pp 724–729, 2008 R Man´ sevich and J Mawhin, “Periodic solutions for nonlinear systems with p-Laplacian-like a operators,” Journal of Differential Equations, ... uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008 Introduction In this paper, we deal with the existence and uniqueness of periodic

Ngày tải lên: 21/06/2014, 18:20

... Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces Xingqiu Zhang School of Mathematics, ... “Existence of solutions of nonlinear m-point boundary-value problems,” Journal of Mathematical Analysis and Applications, vol 256, no 2, pp 556–567, 2001 11 J Zhao, Z Liu, and L Liu, “The existence of ... Methods & Applications, vol 68, no 9, pp 2727–2740, 2008 16 D J Guo and V Lakshmikantham, “Coupled fixed points of nonlinear operators with applications,” Nonlinear Analysis: Theory, Methods & Applications,

Ngày tải lên: 21/06/2014, 20:20

... positive solutions of dy-namic equations on time scales (see, e.g., [1–7]) This work entails an extension of the paper by Chyan and Henderson [8] to eigenvalue problems for systems of nonlinear boundary ... for systems of nonlinear second-order differential equations,” Journal of Mathematical Analysis and Applica-tions, vol 335, no 2, pp 1052–1060, 2007. [15] J R L Webb, “Positive solutions of some ... solutions of second-order 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

Ngày tải lên: 22/06/2014, 00:20

... assertions of the statements of Sections and involving the linear manifold H become trivial when (2.9) is violated, and we thus not deal with this case in the proofs Proof of Theorem 3.1 In view of Remark ... guarantee the solvability of (1.1) Proof of Theorem 4.1 Without loss of generality, we may suppose that relation (4.18) is true, for otherwise, in view of Theorem 3.1, the assertion of the theorem becomes ... assumptions of Corollary 3.4, one of the following two conditions is true: (a) A preserves the K-negligibility of elements of the set Π; (b) A is continuous in the topology of X Then all the solutions of

Ngày tải lên: 22/06/2014, 18:20

... results for weak solutions of (1.1) do not hold without logarith-mic condition on modulus of continuity Variants of this condition have been expedient tools in the study of maximal functions, singular ... 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) ... )-norm of u. Remark 3.8 (1) The main difference compared to Alkhutov’s result in [7,9] is that the constant and the exponent depend on theL q s(B4R)-norm ofu instead of the essential supremum ofu

Ngày tải lên: 22/06/2014, 22:20

... 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] ... 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, ... 0  Continuation of the proof of Theorem 2.8 for n = 2 Since dim X1 = 3, we can choose 1, 2, 3 as a basis of X 1 Similarly, since dimX2 = 2, we can chose 4, 5 as a basis of X 2 We prove that

Ngày tải lên: 06/08/2014, 05:20

... N.H Du & P.K Anh (2002) On Linear Implicit Non-autonomous Systems of Difference Equations, Journal of Difference Equations and Applications, 8:12, 1085-1105, DOI: 10.1080/1023619021000053962 ... solutions of LIDE(Eq (1)) The proof of Corollary is complete A 4 EXAMPLE We shall illustrate the main results of the preceding sections by using somesimple examples Because of limitation of space, ... solvability of initial-value problems (IVPs) and multipoint value problems (MPBVPs) for linear implicit non-autonomous systems of difference equations. boundary-Keywords: Linear implicit difference equations

Ngày tải lên: 16/12/2017, 02:52

... Contents Cont ent s Introduction Homogeneous systems of linear dierential equations Inhomogeneous systems of linear dierential equations 44 Examples of applications in Physics 62 Stability 72 Transfer ... of my situation Leif Mejlbro 21st May 2008 Download free eBooks at bookboon.com Calculus 4c-3 Homogeneous systems of linear differential equations Homogeneous systems of linear differential equations ... 4c-3 Introduction 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

Ngày tải lên: 16/12/2017, 07:56

... of one row to another row ) 1 3 1 2 2 4 Trang 15Elementary (row) Operations on matrixIn case of two equations in two variables, the goal is to produce a matrix of the form In case of three equations ... rank of a matrix⚫ The reduced row-echelon form of a matrix A is uniquely determined by A, but the row-echelon form of A is not unique ⚫ The number r of leading 1’s is the same in each of the ... Suppose a system of m equations in n variables has a solution If the rank of the augment matrix is r then the set of solutions involves exactly n-r parameters Trang 391.3.Homogeneous Equations (phương

Ngày tải lên: 27/10/2019, 22:52

... 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 1Equations Download free books at Trang 2Examples of Systems of Differential Equations and Applications from Physics and the Technical Sciences ... every day. 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

Ngày tải lên: 16/01/2021, 00:12

... Azerbaijan Journal of Mathematics, 9 (2), 2019, 148-166. [5] P Kang, Z Wei, Existence of positive solutions for systems of bending elastic beam equations, Electron J Differential Equations, 19 (2012) ... operator equation for thepair of functions to be sought or is studied by the method of lower and uppersolutions The proposed approach can be used for some other systems of nonlinearboundary value problems ... establish the existence and uniqueness of a solution of the system(1)-(2) Besides, we also prove the property of sign preserving of the solutionand the convergence of an iterative method for finding

Ngày tải lên: 28/06/2021, 11:02

... establish the existence and uniqueness of a solution of the system (1)-(2) Besides, we also prove the property of sign preserving of the solution and the convergence of an iterative method for finding ... 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 of DM and B[0, M ] ++ −− there stand DM and SM The sign of ... for the nonlinear terms Some examples, where exact solution of the problem are known or not, demonstrate the effectiveness of the obtained theoretical results Introduction In the beginning of the

Ngày tải lên: 23/10/2022, 11:52

... Stability Analysis of Systems of Difference Equations Richard A Clinger Virginia Commonwealth University Follow this and additional works at: https://scholarscompass.vcu.edu/etd Part of the Physical

Ngày tải lên: 27/10/2022, 19:55

... Trang 1Enclosing solutions of systems of equationsinvolving ODEAurelien LejeuneNational Institute of Informatics2-1-2 Hitotsubashi, Chyoda-kuTokyo 101-8430 – ... some examples of applications In the second part we present a new method for solving systems involvingordinary differential equations which does not need this initial box The aim ofthe method ... integrations on each of them as initial conditions Trang 123 Rigorous enclosure of discrete change during a hybrid system simulationHybrid dynamic systems (HDSs) are systems described by a mix of discrete

Ngày tải lên: 12/01/2014, 22:20

... Trang 1 Periodic solutions of some linear evolution systems of natural differential equations on 2-dimensional tore Dang Khanh Hoi* Department of General Education, Hoa Binh University, ... research of such equations appear so named the small denominators, so such equations is incorrect in the classical space There is extensive literature on the different types of the equations, ... and close Let € = OF gf? = OP gAM(T*X) @C is the complexified cotangent bundle of manifolds X, C°(€) is the space of smooth differential forms and H*(€) is the Sobolev space of differential forms

Ngày tải lên: 14/03/2014, 13:20

... literature, there is a vast amount of research on the existence of positive tions of the nonlinear Fredholm integral equations: a generalization of (1.3) and (1.4) to systems similar to (1.1) and (1.2) ... stu-dies of [5,12-23] Indeed, we have generalized the problems to (i) systems; (ii) more generalform of nonlinearities fi, 1≤ i ≤ n,; and (iii) existence of constant-sign solutions The outline of the ... AccessExistence results of Brezis-Browder type for systems of Fredholm integral equations Ravi P Agarwal1,2*, Donal O ’Regan3 and Patricia JY Wong4 * Correspondence: Agarwal@tamuk.edu 1 Department of Mathematics,

Ngày tải lên: 20/06/2014, 22:20

... 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 matrix equations involving ... solving different classes of systems of nonlinear matrix equations involving Lipshitzian mappings. 2000 Mathematics Subject Classifications: 15A24; 65H05. Keywords: nonlinear matrix equations, Lipshitzian ... 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 =...

Ngày tải lên: 20/06/2014, 22:20