Research Information System
APPLICABLE ANALYSIS, vol.97, no.12, pp.2071-2084, 2018 (Journal Indexed in SCI)
The paper is devoted to the study of optimal control theory with higher order differential inclusions (HODIs) and a varying time interval. Essentially, under a more general setting of problems and endpoint constraints the main goal is to establish sufficient conditions of optimality for HODIs. Thus with the use of Euler-Lagrange and Hamiltonian type of inclusions and transversal conditions on the initial' sets, the sufficient conditions are formulated. Derivation of Euler-Lagrange inclusions and -attainability condition holds.