MR3052746
Jianxin CAO and Haibo CHEN
Jianxin CAO and Haibo CHEN
The Iterative Solution of Generalized Sturm-Liouville Boundary Value Problem in Banach Spaces
Funkcialaj Ekvacioj. Serio Internacia
55
2012
429--446
http://fe.math.kobe-u.ac.jp/FE/FullPapers/55-3/55_429.pdf
http://www.ams.org/mathscinet-getitem?mr=MR3052746
In this paper, we investigated the generalized Sturm-Liouville boundary value problem in Banach spaces. Using the upper or lower solution method, we obtained some sufficient conditions of the existence results without making any compactness type assumption. The iterative methods and formula of estimating the error were also established. Finally, we gave an example to demonstrate the application of our results.
Banach spaces, Generalized Sturm-Liouville boundary value problem, Upper or lower solution, Iterative methods, Error estimation.
34A37, 34K40, 26A33.
55-429
2012
The Iterative Solution of Generalized Sturm-Liouville Boundary Value Problem in Banach Spaces
Jianxin CAO and Haibo CHEN
Jianxin CAO and Haibo CHEN
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