Geodesic
Sequential differentiation and its applications in optimal control problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 45-56

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Using the sequential approach, we define a certain generalization of the operator derivative. We establish the necessary extremum condition in terms of the sequential derivative. As examples we consider the optimal control problems for systems governed by partial nonlinear differential equations of several kinds.
Keywords: operator differentiation, sequential approach, optimality conditions. 
@article{IVM_2008_7_a5,
     author = {S. Ya. Serovaǐskiǐ},
     title = {Sequential differentiation and its applications in optimal control problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {45--56},
     publisher = {mathdoc},
     number = {7},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_7_a5/}
}
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S. Ya. Serovaǐskiǐ. Sequential differentiation and its applications in optimal control problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 45-56. http://geodesic.mathdoc.fr/item/IVM_2008_7_a5/