... solvingdifferent classes ofsystemsofnonlinear matrix equations involving Lipshitzianmappings.2000 Mathematics Subject Classifications: 15A24; 65H05.Keywords: nonlinear matrix equations, Lipshitzian ... classes ofnonlinear matrix equations (see [8-21]). In this study, we considerthe following problem: Find (X1, X2, ,Xm) ẻ (P(n))msolution to the following system of nonlinear matrix equations: Xrii= ... for thestudy of solutions to systemsofnonlinear matrix equations involving contractivemappings.We first review the Thompson metric on the open convex cone P(n)(n ≥ 2), the set of all nìn Hermitian...
... equalto I. The proof of uniqueness is complete.To prove the existence we note, first of all, that it suffices to provide aproof if one of the κi’s is equal to ±1 and one of the δj’s is equal ... solutions of isomonodromy problems for such systemsof 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 BORODINMost of the results of the present paper can be carried over to the case of q-difference equationsof the form Y (qz)=A(z)Y (z). The q-differenceSchlesinger equations are, cf. (3)–(6),(3q)(4q)(5q)(6q)Bi(...
... figure is reduced for the visualization. Enclosing solutions ofsystemsof equations involving ODEAurelien LejeuneNational Institute of Informatics2-1-2 Hitotsubashi, Chyoda-kuTokyo 101-8430 ... part.Mots-clefs : syst`emes hybrides, equations differentielles ordinaires, anal-yse par intervalles. References1. Hansen, E. and Sengupta, S.: Bounding solutions ofsystemsofequations usinginterval ... Solving of HybridConstraint 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...
... Linearization of LPNI Systems 202.1 Stochastic Linearization of Open Loop Systems 202.1.1 Stochastic Linearization of Isolated Nonlinearities 202.1.2 Stochastic Linearization of Direct Paths of LPNI Systems ... 203 Analysis of Reference Tracking in LPNI Systems 664 Analysis of Disturbance Rejection in LPNI Systems 1145 Design of Reference Tracking Controllers for LPNI Systems 1346 Design of Disturbance ... analysis and design of LPNI systems from the point of view of reference tracking. 2.1 Open Loop Systems 21f (u)Nu(t)v(t)ˆv(t)Figure 2.1. Stochastic linearization of an isolated nonlinearity.Theorem...
... excellence adomain of application of differential equations. The nonlinearity inherent in mostclassical equationsof motion makes the question of stability and the prediction of long-term behaviour ... components of angular velocity, (α, β, γ) the directionscosines of the direction of gravity, (A, B, C) the moments of inertia, (x0,y0,z0)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...
... Constant-sign solutions of a system of Fredholm integral equations. Acta ApplMath. 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 systemsof Fredholm integral equations. Advances in Difference Equations 2011 2011:43.Submit your manuscript to a...
... 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.irDepartment of Mathematics,College of Sciences, ShirazUniversity, Shiraz, 71454, IranAbstractThis paper is concerned with investigating the spatial behavior of solutions for aclass of hyperbolic equations ... 2011:19http://www.boundaryvalueproblems.com/content/2011/1/19Page 6 of 9 RESEARC H Open AccessSpatial estimates for a class of hyperbolic equations with nonlinear dissipative boundaryconditionsFaramarz Tahamtani*and...
... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267(2009). doi:10.1016/j.na.2009.01.06022. Agre, K, Rammaha, MA: Systemsofnonlinear 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.2009.04.03120. 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....
... second example, we will obtain thebound of the solutions of an integral equation.For the sake of proving the global existence of solutions of differential equations, wefirst 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, ... toillustrate the validity of the present integral inequalities.2 Main resultsIn the rest of the paper we denote the set of real numbers as R,andR+=[0,∞)isasubset of R. Dom(f)andIm(f) denote...