ADMISSIBLE EXTREMALS IN THE PROBLEMS OF VARIATIONAL CALCULUS WITH CONSTRAINTS IN THE FORM OF A SYSTEM OF LINEAR INHOMOGENEOUS DIFFERENTIAL EQUATIONS OF THE FIRST ORDER WITH RECTANGULAR MATRICES

摘要

We establish necessary and sufficient conditions for the existence of smooth admissible extremals in the problems of variational calculus with constraints in the form of a system of linear inhomogeneous differential equations of the first order with rectangular matrices and different types of boundary conditions.