An Optimal Control Problem for Quasilinear Differential Equations with Bitsadze-Samarski Boundary Conditions
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2317-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2317-5 | ||
| 245 | 0 | 3 | |a An Optimal Control Problem for Quasilinear Differential Equations with Bitsadze-Samarski Boundary Conditions |h [Elektronische Daten] |c [D. Devadze, V. Beridze] |
| 520 | 3 | |a The present paper is devoted to optimal control problems whose behavior is described by quasilinear first-order differential equations on the plane with nonlocal Bitsadze-Samarski boundary conditions. A theorem on the existence and uniqueness of a generalized solution in the space C μ G ¯ $$ {C}_{\mu}\left(\overline{G}\right) $$ is proved for quasilinear differential equations; necessary optimality conditions are obtained in terms of the maximum principle; the Bitsadze-Samarski boundary-value problem is examined for a first-order linear differential equation; the existence of a solution in the space C μ p G ¯ $$ {C}_{\mu}^p\left(\overline{G}\right) $$ is proved, and an a priori estimate is derived. A necessary and sufficient optimality condition is proved for a linear optimal control problem. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Devadze |D D. |u Shota Rustaveli Batumi State University, Batumi, Georgia |4 aut | |
| 700 | 1 | |a Beridze |D V. |u Shota Rustaveli Batumi State University, Batumi, Georgia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/4(2015-04-01), 357-370 |x 1072-3374 |q 206:4<357 |1 2015 |2 206 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2317-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2317-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Devadze |D D. |u Shota Rustaveli Batumi State University, Batumi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Beridze |D V. |u Shota Rustaveli Batumi State University, Batumi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/4(2015-04-01), 357-370 |x 1072-3374 |q 206:4<357 |1 2015 |2 206 |o 10958 | ||