caa a22 4500 605524386 CHVBK 20210128100753.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10958-015-2316-6 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2316-6 Methods of Numerical Solution of Optimal Control Problems Based on the Pontryagin Maximum Principle [Elektronische Daten] [D. Devadze, V. Beridze] In this paper, we study optimal control problems whose behavior is described by second-order differential equations with nonlocal Bitsadze-Samarski boundary conditions. Necessary conditions of optimality are obtained in terms of the maximum principle; adjoint equations are constructed in the differential and integral form. Necessary and sufficient optimality conditions are obtained for a linear problem, a difference scheme is constructed and examined, and a numerical algorithm is proposed. Springer Science+Business Media New York, 2015 Devadze D. Shota Rustaveli Batumi State University, Batumi, Georgia aut Beridze V. Shota Rustaveli Batumi State University, Batumi, Georgia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/4(2015-04-01), 348-356 1072-3374 206:4<348 2015 206 10958 https://doi.org/10.1007/s10958-015-2316-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2316-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Devadze D. Shota Rustaveli Batumi State University, Batumi, Georgia aut NATIONALLICENCE 700 1- Beridze V. Shota Rustaveli Batumi State University, Batumi, Georgia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/4(2015-04-01), 348-356 1072-3374 206:4<348 2015 206 10958