SIMULTANEOUS SOLUTIONS OF OPERATOR SYLVESTER EQUATIONS

... Hansen, E and Sengupta, S.: Bounding solutions of systems of equations using interval analysis BIT 21, 203–211 (1981) Neumaier, A.: Interval Methods for Systems of Equations Cambridge Univ Press, ... Fig Projection of a periodic Lorenz system Conclusion and perspectives We have presented a new method for enclosing the solutions of HDSs This method can prove the existen...

Ngày tải lên: 12/01/2014, 22:20

... of the Main Theorem with the exception of those results which concern the asymptotic properties of the Ricci coefficients (the Asymptotics Theorem), and the straightforward modifications of the ... desired in the proof of (93) The remaining term on the left-hand side of (93) is easier to treat Proof of the L2 − L∞ decay estimate; Theorem 2.1 In this section we...

Ngày tải lên: 16/02/2014, 05:20

Ngày tải lên: 14/03/2014, 13:20

... Exact Solutions of Einstein’s Field Equations A revised edition of the now classic text, Exact Solutions of Einstein’s Field Equations gives a unique survey of the known solutions of Einstein’s ... 29.2.6 Solutions independent of ζ and ζ 29.3 Solutions of type N (Ψ2 = = Ψ3 ) 29.4 Solutions of type III (Ψ2 = 0, Ψ3 = 0) 29.5 Solutions of type D (3Ψ2 Ψ...

Ngày tải lên: 24/04/2014, 17:07

... investigated the behavior of the solutions, HAE-M found the solutions of the special cases and EMEls carried out the theoretical proof and gave the examples All authors read and approved the final ... Page of 16 Cinar [10,11] has got the solutions of the following difference equations xn−1 xn−1 , xn+1 = + axn xn−1 −1 + axn xn−1 xn+1 = Aloqeili [12] obtained...

Ngày tải lên: 21/06/2014, 00:20

... second-order parabolic equations; then we prove the uniqueness and existence of time almost periodic viscosity solutions In the end, we concentrate on the asymptotic behavior of time almost periodic solutions ... some results for almost periodic viscosity solutions We consider the following two equations to get some results used for the existence and uniqueness of...

Ngày tải lên: 21/06/2014, 20:20

... 2 Positive solutions of difference equations Recently, the existence of positive solutions of finite difference equations with different boundary value conditions is ... no 1, 29–36 [5] Y Liu and W Ge, Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator, Journal of Mathematical Analysis and Applications 278 ... diff...

Ngày tải lên: 22/06/2014, 22:20

... purposes and some stability definitions of a bounded solution of (1.1) In Section 3, we discuss the existence of periodic solutions of (1.1) In Section 4, we discuss the existence of almost periodic solutions ... proof of Theorem 3.4, we can show that { p(n)} is an ω -periodic solution of (3.1) Almost periodic systems In this section, we discuss the existence of...

Ngày tải lên: 22/06/2014, 22:20

... in the boundary behaviour of large solutions of semilinear elliptic [7] problems, Differential and Integral Equations 11 (1998), no 1, 23–34 , Dependence of blowup rate of large solutions of semilinear ... boundary estimates for blow-up solutions of elliptic equations, to appear in Differential Integral Equations [4] C Bandle, Asymptotic behaviour of lar...

Ngày tải lên: 22/06/2014, 22:20

... Krasnosel´kii, Topological methods in the theory of nonlinear integral equations, Pergamon Press, Oxford, (1964) [6] I.V Skrypnik, Nonlinear Higher Order Elliptic Equations (in Russian), Noukova Dumka ... have the conclusion that the sequence (3.10) {u m } m converges to u in X k Thus, Tk is of class ( S )+ in X k Next we calculate the topological degree of the operat...

Ngày tải lên: 22/07/2014, 10:21

... least possible number of cosets of linear subspaces From this point of view one naturally can consider the same problem (coverings by cosets) in the case of a finite field of an arbitrary characteristic ... b = Coverings by cosets were also considered by R Jamison in the study of 1-intersection sets in affine spaces over finite fields In [6] the minimum number of cosets of k-di...

Ngày tải lên: 07/08/2014, 06:22

... more accurate solutions The size of the integration interval also influences the accuracy of the solutions (should be less than 10% of the time constant) • • st Solutions of sets of order ODEs ... interval × function of gradient • This is the basis for a family of algorithms used to provide numerical solutions of ODEs • A particular class is the Runge-Kutta algorithm...

Ngày tải lên: 19/03/2015, 08:49

... the theory of commutative Banach algebras [8] The solution X of the operator equations (1.3) can be obtained from the idempotent operator F , as in the case of simultaneous Sylvester equations ... the term operator always means “bounded linear operator We denote by L(E) the set of all operators on E, and by L(F , E) the set of all operators from F to E If T is a family...

Ngày tải lên: 16/10/2015, 09:32

... = of Corollary 2.7 is contained in ([6], Theorem 4.1) An algorithm for finding simultaneous solutions of Sylvester equations The question of finding efficient methods for computing functions of ... functions of several commuting matrices and apply it to the problems of finding simultaneous solutions of Sylvester equations In the sequel, we denote elem...

Ngày tải lên: 16/10/2015, 09:33

... output of the jth unit at time t, aij denotes the strength of the jth unit on the ith unit at time t, bij denotes the strength of the jth unit on the ith unit at time t − τj (t) , Ii denotes the ... moment t1 > t0 when Pt meets the set Mt At the moment t1 the operator At1 “instantly” transfers the point Pt from the position Pt1 = (t1 , x (t1 )) into the position + (t1 , x+ ) ∈ Nt...

Ngày tải lên: 29/10/2015, 12:30