systems of nonlinear equations worksheet

... 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 = ... for the study of solutions to systems of nonlinear matrix equations involving contractive mappings. We first review the Thompson metric on the open convex cone P(n)(n ≥ 2), the set of all nìn Hermitian...

Ngày tải lên: 20/06/2014, 22:20

... equal to I. The proof of uniqueness is complete. To prove the existence we note, first of all, that it suffices to provide a proof if one of the κ i ’s is equal to ±1 and one of the δ j ’s is equal ... solutions of isomonodromy problems for such systems of difference equations. In the case of one-interval gap probability this has been done (in a different language) in [Bor], [BB]. One example of the ... ALEXEI BORODIN Most of the results of the present paper can be carried over to the case of q-difference equations of the form Y (qz)=A(z)Y (z). The q-difference Schlesinger equations are, cf. (3)–(6), (3q) (4q) (5q) (6q) B i (...

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... figure is reduced for the visualization. Enclosing solutions of systems of equations involving ODE Aurelien Lejeune National Institute of Informatics 2-1-2 Hitotsubashi, Chyoda-ku Tokyo 101-8430 ... part. Mots-clefs : syst`emes hybrides, equations differentielles ordinaires, anal- yse par intervalles. References 1. Hansen, E. and Sengupta, S.: Bounding solutions of systems of equations using interval ... Solving of Hybrid Constraint Systems. 3rd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS09) (to appear) 10. Kăuhn, W.: Rigorously Computed Orbits of Dynamical Systems Without the Wrap- ping...

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... 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 ... 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 134 6 Design of Disturbance ... analysis and design of LPNI systems from the point of view of reference tracking. 2.1 Open Loop Systems 21 f (u) N u(t) v(t) ˆv(t) Figure 2.1. Stochastic linearization of an isolated nonlinearity. Theorem...

Ngày tải lên: 23/03/2014, 15:20

... excellence a domain of application of differential equations. The nonlinearity inherent in most classical equations of motion makes the question of stability and the prediction of long-term behaviour ... components of angular velocity, (α, β, γ) the directions cosines of the direction of gravity, (A, B, C) the moments of inertia, (x 0 ,y 0 ,z 0 ) the position of the centre of mass of the system, ... for studying them are those of q-analysis. At the center of the theory of integrable systems lies the notion of a Lax pair, describing the isospectral deformation of a linear operator, a matrix...

Ngày tải lên: 24/04/2014, 16:50

... Constant-sign solutions of a system of Fredholm integral equations. Acta Appl Math. 80,57–94 (2004) 7. Agarwal, RP, O’Regan, D, Wong, PJY: Eigenvalues of a system of Fredholm integral equations. Math ... Triple solutions of constant sign for a system of Fredholm integral equations. Cubo. 6,1–45 (2004) 9. Agarwal, RP, O’Regan, D, Wong, PJY: Constant-sign solutions of a system of integral equations: ... this article as: Agarwal et al.: Existence results of Brezis-Browder type for systems of Fredholm integral equations. Advances in Difference Equations 2011 2011:43. Submit your manuscript to a...

Ngày tải lên: 20/06/2014, 22:20

... directed to the study of spatial behavi or of solutions of partial differential equations and systems. The history and developmen t of this question is explained in the work of Horgan and Knowles ... Correspondence: tahamtani@shirazu.ac.ir Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71454, Iran Abstract This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations ... 2011:19 http://www.boundaryvalueproblems.com/content/2011/1/19 Page 6 of 9 RESEARC H Open Access Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions Faramarz Tahamtani * and...

Ngày tải lên: 21/06/2014, 00:20

... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267 (2009). doi:10.1016/j.na.2009.01.060 22. Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... (2006) 23. Said-Houari, B, Messaoudi, SA, Guesmia, A: General decay of solutions of a nonlinear system of viscoelastic wave equations. Nonlinear Diff. Equ. Appl. (2011) 24. Muñoz Rivera, JE: Global ... doi:10.1016/j.na.2009.04.031 20. Messaoudi, SA, Said-Houari, B: Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. J. Math. Anal....

Ngày tải lên: 21/06/2014, 00:20

... second example, we will obtain the bound of the solutions of an integral equation. For the sake of proving the global existence of solutions of differential equations, we first recall some basic ... development of the theory of differential and integral equations, a lot of integral inequalities, for example [1-12], have been discovered, which play an important role in the research of boundedness, ... to illustrate the validity of the present integral inequalities. 2 Main results In the rest of the paper we denote the set of real numbers as R,andR + =[0,∞)isa subset of R. Dom(f)andIm(f) denote...

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