1. bookVolume 2018 (2018): Issue 1 (December 2018)
Journal Details
License
Format
Journal
eISSN
2544-9990
First Published
30 May 2018
Publication timeframe
1 time per year
Languages
English
access type Open Access

Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements

Published Online: 26 Jul 2019
Volume & Issue: Volume 2018 (2018) - Issue 1 (December 2018)
Page range: 37 - 55
Received: 26 Dec 2018
Accepted: 05 May 2019
Journal Details
License
Format
Journal
eISSN
2544-9990
First Published
30 May 2018
Publication timeframe
1 time per year
Languages
English
Abstract

Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. Associated finite-difference scheme is proposed on uniform mesh and second-order accuracy for approximation is proved. An application of obtained results to nonlocal boundary problems with weight integral conditions is provided.

Keywords

MSC 2010

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