Nonlinear Phenomena in Complex Systems, 2005, Vol.8, No.3, pp.266-273

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.3, pp.266-273

Optimal Control for Some Nonlinear Differential Systems.
H.A. El-Saify

In this paper, we study the existence of optimal control for some nonlinear differential systems involving second order self-adjoint elliptic operator with an infinite number of variables and control in the coefficients. So the state of the system is non-linear function of control. Also, we study the same problem in the case of infinite order elliptic operator.
Key words: nonlinear differential system, Dirichlet condition, elliptic operator, infinite variables, infinite order, control problem

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