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Differential Equations

, Volume 46, Issue 2, pp 167–181 | Cite as

On some boundary value problems for linear generalized differential systems with singularities

  • M. T. Ashordia
Ordinary Differential Equations

Abstract

For a linear Kurzweil generalized differential system with singularities, we consider two-point boundary value problems of two forms. The singularity is understood in the sense that the matrix and vector functions defining the system may have infinite total variation.

In each of these problems, we obtain sharp conditions for unique solvability. We also consider a linear boundary value problem for similar differential systems with small parameters.

Keywords

Trivial Solution Differential System Linear Boundary Unique Solvability Small Positive Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • M. T. Ashordia
    • 1
  1. 1.Razmadze Mathematical InstituteTbilisi Sukhum State UniversitySukhumRussia

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