## Abstract

A boundary value problem is considered for an N-th order functional differential equation with impulses. It is reduced to the same boundary value problem for another equation of the same order without impulses. The reduction is based on constructing of an isomorphism between the space of the functions which are piece-wise absolutely continuous up to the (N-1)-st derivative and satisfy the impulse conditions, at the discontinuity points and the space of the functions which are absolutely continuous up to the (N-1)-st derivative. The approach allows to derive conditions on the sign preservation for the Green function of the considered boundary value problem.

Original language | English |
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Pages (from-to) | 50-56 |

Number of pages | 7 |

Journal | Memoirs on Differential Equations and Mathematical Physics |

Volume | 12 |

State | Published - 1 Jan 1997 |

Externally published | Yes |

## Keywords

- Boundary value problem
- Functional differential equation
- Green operator
- Isomorphism

## ASJC Scopus subject areas

- Analysis
- Mathematical Physics
- Applied Mathematics