we discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of kirchhoff type [ u_{tt}-phi (x)||nabla u(t)||^{2}delta u+delta u_{t}=|u|^{a}u,, x in mathbb{r}^{n} ,,tgeq 0;,]with initial conditions $u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $n geq 3, ; delta geq 0$ and $(phi (x))^{-1} =g (x)$  is a positive function lying in $l^{n/2}(mathb...

Abstract. In solving a system of ordinary differential equations by an interval method the approximate solution at any considered moment of time t represents a set (called interval) containing the exact solution at the moment t. The intervals determining the solution of a system are often expanded in the course of time irrespective of the method and step used. The phenomenon of interval expansi...

In solving a system of ordinary differential equations by an interval method the approximate solution at any considered moment of time t represents a set (called interval) containing the exact solution at the moment t. The intervals determining the solution of a system are often expanded in the course of time irrespective of the method and step used. The phenomenon of interval expansion, called...

The present paper is an in depth analysis of the set of conditioned invariant subspaces of a given observable pair (C,A). We do this analysis in two different ways, one based on polynomial models starting with a characterization obtained in [P.A. Fuhrmann, Linear Operators and Systems in Hilbert Space, 1981; IEEE Trans. Automat. Control AC-26 (1981) 284], the other being a state space approach....

The μ-value or structured singular value is a prominent mathematical tool to analyze and synthesize both the robustness performance of time-invariant systems. We establish new results concerning values for Hadamard product real square M-matrices. are obtained while considering set block diagonal uncertainties. targeted uncertainties two types, that is, pure scalar full-block eigenvalue perturba...