Neumann problems;
quasilinearization;
lower and upper solutions;
monotone iterations;
convergence;
D O I:
10.1080/1065246031000081625
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
A generalized quasilinearization technique is applied to a Neumann problem constructing sequences of approximate solutions converging to a solution. This convergence may be quadratic, semi-quadratic or weakly quadratic.
Li WEI Hai Yun ZHOU Ravi P AGARWAL School of Mathematics and Statistics Hebei University of Economics and Business Hebei P R China Institute of Applied Mathematics and Mechanics Ordnance Engineering College Hebei P R China Department of Mathematical Sciences Florida Institute of Technology Melbourne FL U S A
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Li WEI Hai Yun ZHOU Ravi P AGARWAL School of Mathematics and Statistics Hebei University of Economics and Business Hebei P R China Institute of Applied Mathematics and Mechanics Ordnance Engineering College Hebei P R China Department of Mathematical Sciences Florida Institute of Technology Melbourne FL U S A