Nonlinear fourth order boundary value problem
BOUNDARY VALUE PROBLEMS, cilt.2014, ss.1-10, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2014
- Basım Tarihi: 2014
- Doi Numarası: 10.1186/s13661-014-0189-0
- Dergi Adı: BOUNDARY VALUE PROBLEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1-10
- Anahtar Kelimeler: nonlinear problem, fourth order problem, Banach fixed point theorem, Schauder fixed point theorem, SINGULAR DIFFERENTIAL EQUATIONS, INFINITE INTERVALS, TIME-SCALE, EXISTENCE, OPERATORS, SYSTEMS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper we consider a nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential expression at infinity. Using the well-known Banach and Schauder fixed point theorems we prove the existence and uniqueness theorems for the nonlinear boundary value problem.