First-Order Partial Differential Equation with a Nonlocal Boundary Condition

Erdogan, Abdullah; Tekalan, Sueda

doi:10.1080/01630563.2017.1317002

First-Order Partial Differential Equation with a Nonlocal Boundary Condition

Atıf İçin Kopyala

Erdogan A. S., Tekalan S. N.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.38, sa.10, ss.1373-1389, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 10
Basım Tarihi: 2017
Doi Numarası: 10.1080/01630563.2017.1317002
Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1373-1389
İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, the initial value problem for the first-order partial differential equation with the nonlocal boundary condition is studied. The positivity of the space operator A(x) generated by this problem in interpolation spaces is established. The structure interpolation spaces of this space operator is investigated. The positivity of this space operator in Holder spaces is established. In applications, the stability estimates for the first-order partial differential equation with the nonlocal boundary condition are obtained.