Georgian Mathematical Journal

, Volume 1, Issue 4, pp 343–351 | Cite as

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

  • M. Ashordia
Article

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]→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 .

1991 Mathematics Subject Classification

34B05 

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References

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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • M. Ashordia
    • 1
  1. 1.I. Vekua Institute of Applied Mathematics of Tbilisi State UniversityTbilisiRepublic of Georgia

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