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Abstract. The purpose of this paper is to give the Reid ``Roundabout Theorem'' for quadratic functionals with general boundary conditions. In particular, we describe the so-called coupled point and regularity condition introduced in  in terms of Riccati equation solutions.
Abstract. We compute the tangent cone and the tangent set of order two to the positive cone of some important functional spaces such as the space C(K) of continuous functions on a compact space and the space L_p(Q) of p-integrable functions on a measured space. The results are applied to the...
Abstract. In this paper we formulate and study a minimax control problem for a class of parabolic systems with controlled Dirichlet boundary conditions and uncertain distributed perturbations under pointwise control and state constraints. We prove an existence theorem for minimax solutions and...
Abstract. We prove the existence and uniqueness of Stratonovich stochastic differential equations where the coefficients and the initial condition may depend on the whole path of the driving Wiener process. Our main hypothesis is that the diffusion coefficient satisfies the Frobenius condition....
Abstract. This paper is concerned with existence theorems for generalized saddle points (cone saddle points) of vector-valued functions. A concept of lower semicontinuity for vector-valued functions is introduced and its properties are investigated. Previous results of the author are extended by...
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