systems of nonlinear equations pdf

... 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...

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... 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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... 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 ... “Periodic solutions for nonlinear systems with p-Laplacian-like operators,” Journal of Differential Equations, vol. 145, no. 2, pp. 367–393, 1998. 6 Advances in Difference Equations Noticing that  T 0 | ε  t  − ... following nonlinear equations with p-Laplacian-like operators ϕx  t   fxtx  tgxt  et: some criteria to guarantee the existence and uniqueness of periodic solutions of the...

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... Article 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, ... problems for systems of nonlinear second-order differential equations with multipoint boundary value conditions on infinite intervals in Banach spaces. The conditions for the existence of positive ... solutions of BVP 1.2. The main features of the present paper are as follows. Firstly, compared with 5, the problem we discussed here is systems of multipoint boundary value problem and nonlinear...

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... 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 of nonlinear 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 ... Rocky Moun- tain Journal of Mathematics, vol. 37, no. 1, pp. 215–228, 2007. [22] R. Ma, “Multiple nonnegative solutions of second-order systems of boundary value problems,” Nonlinear Analysis: Theory,...

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... application of part (ii) of Theorem 2.1 yields a fixed point u of T be- longing to ᏼ ∩ (Ω 2 \ Ω 1 ), which in turn yields a pair (u,v) satisfying (1.2), (1.3)forthe chosen value of λ. The proof is complete.  References [1] ... November 2007 Recommended by Kanishka Perera Values of λ are determined for which there exist positive solutions of the system of dy- namic equations, u ΔΔ (t)+λa(t) f (v(σ(t))) = 0, v ΔΔ (t)+λb(t)g(u(σ(t))) ... J of R, we will use the interval notation J T := J ∩ T. (1.1) We are concerned with determining values of λ (eigenvalues) for which there exist positive solutions for the system of dynamic equations u ΔΔ (t)+λa(t)...

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... been an increasing interest in the study of qualitative analysis of rational difference equations and systems of difference equations. Although difference equations are very simple in form, it is ... of lyness-type difference equations, ” Advances in Difference Equations, vol. 2007, Article ID 31272, 13 pages, 2007. 12 B. Iri ´ canin and S. Stevi ´ c, “Some systems of nonlinear difference equations ... solutions of a system of two nonlinear difference equations, ” Communications on Applied Nonlinear Analysis, vol. 5, no. 2, pp. 47–59, 1998. 10 G. Papaschinopoulos and C. J. Schinas, “Invariants for systems...

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... nonoscillation of forced second order dynamic equations, ” Pacific Journal of Mathematics, vol. 230, no. 1, pp. 59–71, 2007. 12  M. Bohner and S. H. Saker, “Oscillation of second order nonlinear dynamic equations ... 0 is oscillatory. Proof. We will just highlight the proof since it is the same as the proof of Theorem 2.6.We should remark here that taking et ≡ 0andη 0  0 in proof of Theorem 2.6, we arrive ... Electronic Journal of Differential Equations, no. 145, pp. 1–8, 2006. 17 Q. Kong, “Interval criteria for oscillation of second-order linear ordinary differential equations, ” Journal of Mathematical...

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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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... characteristics of the university. A third alternative is that the impact of a university reflects how the profile of the university corresponds with the profile of the economic structure of the region. ... number of persons with an aca- demic education did not exceed the number of civil servants positions. Therefore, the expansion of the system initially took the form of the building of new types of ... preoccupation with national systems of innovation survived the Japanese miracle. The theory was brought forward by a group of Danish re- searchers, who combined the idea of systems of innovation and interactive learning...

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