A priori stability results for PFC

Stability results for set solution of fuzzy integro-differential systems

PFC / JA - 90 - 27 A Stability Criterion for Energetic Particle - Alfv 6 n Modes

A priori results in linear-quadratic optimal control theory

In the present paper we shall see that philosophizing on the specific nature of Linear-Quadratic optimal Control Problems (LQCPs) yields several a priori statements that are valid for the entire set of these problems. For instance, the real symmetric matrix that represents the optimal cost for a particular LQCP necessarily is a rank minimizing solution of the diSSipation inequality (DI). Since,...

Consistency , stability , a priori and a posteriorierrors for Petrov - Galerkin methodsapplied

In an abstract framework we present a formalism which speciies the notions of consistency and stability of Petrov-Galerkin methods used to approximate nonlinear problems which are, in many practical situations, strongly nonlinear elliptic problems. This formalism gives rise to a priori and a posteriori error estimates which can be used for the reenement of the mesh in adaptive nite element meth...

Global existence‎, ‎stability results and compact invariant sets‎ ‎for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$

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...