Boundary value problems for higher order linear impulsive differential equations


Ugur O. , AKHMET M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.319, ss.139-156, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 319 Konu: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jmaa.2005.12.077
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.139-156

Özet

In this paper higher order linear impulsive differential equations with fixed moments of impulses subject to linear boundary conditions are studied. Green's formula is defined for piecewise differentiable functions. Properties of Green's functions for higher order impulsive boundary value problems are introduced. An appropriate example of the Green's function for a boundary value problem is provided. Furthermore, eigenvalue problems and basic properties of eigensolutions are considered. (c) 2006 Elsevier Inc. All rights reserved.