Literature cited
O. V. Vasil'ev, “Optimality of singular controls in systems with distributed parameters,” in: Controlled Systems [in Russian], Vol. 10, Moscow (1972), pp. 27–34.
L. T. Ashchepkov and O. V. Vasil'ev, “Optimality of singular controls in Goursat-Darboux systems,” Zh. Vychisl. Mat. Mat. Fiz.,15, No. 5, 1157–1167 (1975).
O. V. Vasil'ev, “Investigation of singular controls in a system with distributed parameters,” in: Controlled Systems [in Russian], Vol. 15, Moscow (1976), pp. 3–15.
O. V. Vasil'ev, “Sharpening the necessary conditions for optimality of singular controls,” in: Methods of Optimization and Operations Research: Applied Mathematics [in Russian], Irkutsk (1976), pp. 21–28.
O. V. Vasil'ev, “Optimality conditions for singular controls for a class of systems with distributed parameters,” in: Materials of the All-Union Symposium on Optimal Controls and Differential Games [in Russian], Mitsniereba, Tbilisi (1977), pp. 72–77.
O. V. Vasil'ev, “L. S. Pontryagin's maximum principle in the theory of optimal systems with distributed parameters,” in: Applied Mathematics [in Russian], Novosibirsk (1978), pp. 109–138.
V. A. Srochko, “Optimality conditions for a class of systems with distributed parameters,” Sib. Mat. Zh.,17, No. 5, 1108–1115 (1976).
G. Kelli, “A necessary condition for singular extremals, based on the second variation,” Raket. Tekh. Kosm., No. 8, 26–29 (1964).
R. Kopp and G. Moier, “Necessary conditions for optimality of singular extremals,” Raket. Tekh. Kosm., No. 8, 84–91 (1965).
A. I. Egorov, “Optimal processes with distributed parameters and some problems of the theory of invariance,” Izv. Akad. Nauk SSSR, Ser. Mat.,29, No. 6, 1205–1260 (1965).
R. Gabasov and F. M. Kirillova, Singular Optimal Controls [in Russian], Nauka, Moscow (1973).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 33, No. 1, pp. 3–8, January–February, 1981.
Rights and permissions
About this article
Cite this article
Zubarev, S.V. Analogue of Kelli's condition for systems of hyperbolic equations. Ukr Math J 33, 1–5 (1981). https://doi.org/10.1007/BF01085766
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085766