A degree theory for a class of perturbed Fredholm maps. II.
A degree theory for compact perturbations of proper Fredholm mappings of index 0.
A degree theory for locally compact perturbations of Fredholm maps in Banach spaces.
A density theorem about some system
A density theorem for algebra representations on the space (s)
We show that an arbitrary irreducible representation T of a real or complex algebra on the F-space (s), or, more generally, on an arbitrary infinite (topological) product of the field of scalars, is totally irreducible, provided its commutant is trivial. This provides an affirmative solution to a problem of Fell and Doran for representations on these spaces.
A density theorem for F-spaces
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A Differentiation Theorem for Additive Processes.
A Differentiation Theorem in Lp.
A dilation theorem for operators on Banach spaces
A direct approach to the Weiss conjecture for bounded analytic semigroups
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded -calculus and is based on elementary analysis.
A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
A Dirichlet Type Result for Ordinary Differential Operators.
A discrepancy principle for Tikhonov regularization with approximately specified data
Many discrepancy principles are known for choosing the parameter α in the regularized operator equation , , in order to approximate the minimal norm least-squares solution of the operator equation Tx = y. We consider a class of discrepancy principles for choosing the regularization parameter when T*T and are approximated by Aₙ and respectively with Aₙ not necessarily self-adjoint. This procedure generalizes the work of Engl and Neubauer (1985), and particular cases of the results are applicable...
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here the...
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here...
A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle.
A discrete Hardy-Laptev-Weidl-type inequality and associated Schrödinger-type operators.
A discrete Lyapunov theorem for the exponential stability of evolution families.