On the existence of positive solutions for the second-order boundary value problem
APPLIED MATHEMATICS LETTERS, cilt.49, ss.107-112, 2015 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49
- Basım Tarihi: 2015
- Doi Numarası: 10.1016/j.aml.2015.05.004
- Dergi Adı: APPLIED MATHEMATICS LETTERS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.107-112
- Anahtar Kelimeler: Boundary value problem, Green's function, Multiple solution, Fixed point theorem, ORDERED BANACH-SPACES, FIXED-POINTS, DEPENDENCE
- Abdullah Gül Üniversitesi Adresli: Evet
Özet
This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.