In [13] Prüß investigated a very general nonlinear age-structured model consisting of n species. He proved the principle of linearized stability, which means that the asymptotic behavior of stationary solutions of the nonlinear system is determined by the spectrum of the linearized operator. In other words the stability is determined by the roots of a complex valued characteristic function as i...

We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness.

A characterisation of the quantum stochastic bounded generators of irreversible quantum state evolutions is given. This suggests the general form of quantum stochastic evolution equation with respect to the Poisson (jumps), Wiener (diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg evolution in terms of stochastic completely positive (CP) cocycles is also characteriz...

In this note, we give a refinement of the growth factor in Gaussian elimination for accretive-dissipative matrix A which is due to Lin [Calcolo, 2013, DOI 10.1007/s10092-013-0089-1].

Let A and B be m-accretive linear operators in a complex Hubert space H with D{A) C D(B). The method of quasi-reversibility is used to obtain a solution to the Sobolev equation (d/dt)[(I + B)u(t)] + Au(t) = 0, 0 < l < 1, which approximates a specified final value u(\) = f. In general, when D(A) C D(B), it is not possible to find a solution which achieves exactly the final value w(l) = /. 1. Let...

Let P be cone Banach space E, A, K are two mappings in P, A accretive, K s k-set contraction, then fixed point index defined for mapping -A+K, some fixed point theorems are also deduced.

During a discussion taking place at WMC’01, G. Paun asked the question of what can be computed only by moving symbols between membranes. In this paper we provide some elements of the answer, in a setting similar of tissue P systems, where the set of membranes is organized as a Cayley graph and using a very simple propagation process characterizing accretive growth. Our main result is to charact...

In this work, a new class of variational inclusion involving T-accretive operators in Banach spaces is introduced and studied. New iterative algorithms for stability for their class of variational inclusions and its convergence results are established.