On the correctness of linear boundary value problems for systems of generalized ordinary differential equations
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The sufficient conditions are established for the correctness of the linear boundary value problem
whereA:[a,b]→ℝn×n andf:[a,b]→ℝ n are matrix- and vectorfunctions of bounded variation,c0∈ℝ n , andl is a linear continuous operator from the space ofn-dimentional vector-functions of bounded variation into ℝ n .
$$dx(t) = dA(t) \cdot x(t) + df(t),l(x) = c_0 ,$$
1991 Mathematics Subject Classification34B05
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