𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic optimal control for parabolic Volterra-Lotka type equations

✍ Scribed by Feiyue He; Anthony Leung; Srdjan Stojanovic

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
670 KB
Volume
18
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper considers the optimal harvesting control of a biological species, whose growth is governed by the parabolic diffusive Volterra‐Lotka equation. We prove that such equation with L^∞^ periodic coefficients has an unique positive periodic solution. We show the existence and uniqueness of an optimal control, and under certain conditions, we characterize the optimal control in terms of a parabolic optimality system. A monotone sequence which converges to the optimal control is constructed.

πŸ“œ SIMILAR VOLUMES

On Time Periodic Solutions of the Dirich
On Time Periodic Solutions of the Dirichlet Problem for Degenerate Parabolic Equations of Nondivergence Type
✍ Yoshikazu Giga; Noriko Mizoguchi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 206 KB

In this paper, we are concerned with the existence of periodic solutions of a quasilinear parabolic equation t with the Dirichlet boundary condition, where ⍀ is a smoothly bounded domain in N R and f is a given function periodic in time defined on ⍀ = R. Our results depend on the first eigenvalue o