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On the correctness of linear boundary value problems for systems of generalized ordinary differential equations

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Georgian Mathematical Journal

Abstract

The sufficient conditions are established for the correctness of the linear boundary value problem

$$dx(t) = dA(t) \cdot x(t) + df(t),l(x) = c_0 ,$$

whereA:[a,b]→ℝn×n andf:[a,b]→ℝn are matrix- and vectorfunctions of bounded variation,c 0∈ℝn, andl is a linear continuous operator from the space ofn-dimentional vector-functions of bounded variation into ℝn.

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Ashordia, M. On the correctness of linear boundary value problems for systems of generalized ordinary differential equations. Georgian Mathematical Journal 1, 343–351 (1994). https://doi.org/10.1007/BF02307443

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  • DOI: https://doi.org/10.1007/BF02307443

1991 Mathematics Subject Classification

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