Boundary value problems for higher order linear impulsive differential equations

Ugur, ÖMÜR; AKHMET, MARAT

doi:10.1016/j.jmaa.2005.12.077

Boundary value problems for higher order linear impulsive differential equations

Atıf İçin Kopyala

Ugur O., AKHMET M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.319, sa.1, ss.139-156, 2006 (SCI-Expanded)

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.