Title
Cubic and quartic convergence for first-order periodic boundary-value problems
Abbreviated Journal Title
J. Optim. Theory Appl.
Keywords
existence; periodic boundary-value problems; upper and lower solutions; convergence; quasilinearization; Operations Research & Management Science; Mathematics, Applied
Abstract
In this paper, the results of Lakshmikantham et al. (Ref. 1) for first-order periodic boundary-value problems are extended, by using the extended method of quaislinearization and rapid convergence for initial-value problems of Mohapatra et al. (Ref 2). Also, it is shown that monotone sequences converge cubically to the unique solution when the forcing function in the differential equation is 2-hyperconvex and converge quartically when the forcing function is 3-hyperconvex. Several other generalizations of the problem are also presented.
Journal Title
Journal of Optimization Theory and Applications
Volume
99
Issue/Number
2
Publication Date
1-1-1998
Document Type
Article
Language
English
First Page
465
Last Page
480
WOS Identifier
ISSN
0022-3239
Recommended Citation
"Cubic and quartic convergence for first-order periodic boundary-value problems" (1998). Faculty Bibliography 1990s. 2370.
https://stars.library.ucf.edu/facultybib1990/2370
Comments
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