Discrete continuation methods for boundary value problems on bounded sets in Banach spaces

The paper deals with existence, uniqueness and iterative approximation of solutions to boundary value problems for second-order differential equations on bounded sets in a Banach space. The tools are an extension of Granas’ continuation principle for contraction mappings to spaces endowed with two metrics and a computational procedure accompanying the continuation principle.

Radu Precup
Babeş-Bolyai University, Cluj-Napoca, Romania

R. Precup, Discrete continuation methods for boundary value problems on bounded sets in Banach spaces, J. Comput. Appl. Math. 113 (2000), 267-281, https://doi.org/10.1016/S0377-0427(99)00261-7

https://ictp.acad.ro/wp-content/uploads/2022/08/2000c-Precup-Discrete-continuation-methods-for-boundary-value-problems-on-bounded-sets-in-Banach-spaces.pdf

https://doi.org/10.1016/S0377-0427(99)00261-7

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