Boundary value problems for higher order linear impulsive differential equations
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.319, sa.1, ss.139-156, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 319 Sayı: 1
- Basım Tarihi: 2006
- Doi Numarası: 10.1016/j.jmaa.2005.12.077
- Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.139-156
- Orta Doğu Teknik Üniversitesi Adresli: Evet
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.