Bifurcation phenomena in systems of ordinary differential equations which are invariant with respect to involutive diffeomorphisms, are studied. Teh "symmetry-breaking" bifurcation is investigated in detail.
A mathematical model of the microalgal growth under various light regimes is required for the optimization of design parameters and operating conditions in a photobioreactor. As its modelling framework, bilinear system with single input is chosen in this paper. The earlier theoretical results on bilinear systems are adapted and applied to the special class of the so-called intermittent controls which are characterized by rapid switching of light and dark cycles. Based on such approach, the following...
In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.
If is a subset of the space , we call a pair of continuous functions , -compatible, if they map the space into itself and satisfy , for all with . (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential -dimensional system is investigated, provided the boundary conditions are given via...
Si dà un risultato di esistenza e unicità di una soluzione limitata in per un'equazione di Riccati infinito-dimensionale.