... 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(...
... in Difference Equations Volume 2010, Article ID 197263, 11 pagesdoi:10.1155/2010/197263Research ArticleExistence and Uniqueness of PeriodicSolutions for a Class ofNonlinearEquations withp-Laplacian-Like ... “Periodic solutions for nonlinearsystems with p-Laplacian-likeoperators,” Journal of Differential Equations, vol. 145, no. 2, pp. 367–393, 1998. 6 Advances in Difference Equations Noticing thatT0|εt− ... following nonlinearequations with p-Laplacian-like operators ϕxtfxtxtgxt et: some criteria to guarantee the existence and uniqueness of periodicsolutions of the...
... ArticlePositive Solutions of Singular Multipoint BoundaryValue Problems for Systemsof Nonlinear Second-Order Differential Equations on InfiniteIntervals in Banach SpacesXingqiu ZhangSchool of Mathematics, ... problems for systems of nonlinear second-order differential equations with multipoint boundary value conditions oninfinite intervals in Banach spaces. The conditions for the existence of positive ... solutions of BVP 1.2. The main features of the present paper are asfollows. Firstly, compared with 5, the problem we discussed here is systemsof multipointboundary value problem and nonlinear...
... 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 ... number of positive solutions ofnonlinear systems, ” Journal of MathematicalAnalysis and Applications, vol. 281, no. 1, pp. 287–306, 2003.[24] Y. Zhou and Y. Xu, “Positive solutions of three-point ... Rocky Moun-tain Journal of Mathematics, vol. 37, no. 1, pp. 215–228, 2007.[22] R. Ma, “Multiple nonnegative solutions of second-order systemsof boundary value problems,” Nonlinear Analysis: Theory,...
... 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...
... establishment of networks of innovation.9 This section has discussed five types of mobility: that of national systems, regional systems, sectoral systems, technological systems and socio-economic systems. ... in systemsof innovationMeasurement of HRST stock and flows is inherently problematic. Ekeland (2001) observes that the importance of HRST is often acknowledged but rarely measured because of ... identify.Defining mobility within and between systemsof innovationWhen conceptualising a system of innovation one must specify the nature of the system. Systemsof innovation can be geographically defined,...
... 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...