Title
Extremal solutions for pp-Laplacian differential systems via iterative computation.
Abstract
In this paper, we study the extremal solutions of a fractional differential system involving the p-Laplacian operator and nonlocal boundary conditions. The conditions for the existence of the maximal and minimal solutions to the system are established. In addition, we also derive explicit formulae for the estimation of the lower and upper bounds of the extremal solutions, and establish a convergent iterative scheme for finding these solutions. We also give a special case in which the conditions for the existence of the extremal solutions can be easily verified.
Year
DOI
Venue
2013
10.1016/j.aml.2013.06.014
Applied Mathematics Letters
Keywords
Field
DocType
Extremal solutions,Iterative computation,p-Laplacian operator,Differential systems
Boundary value problem,Mathematical optimization,Explicit formulae,Differential systems,Mathematical analysis,Mathematics,Extremal length,Laplace operator,p-Laplacian,Computation,Special case
Journal
Volume
Issue
ISSN
26
12
0893-9659
Citations 
PageRank 
References 
2
0.41
7
Authors
4
Name
Order
Citations
PageRank
Shun-Jie Li1293.26
Xinguang Zhang216323.65
Yonghong Wu321234.70
Lou Caccetta4193.38