Time-Nonlocal Two-Point Problem and Optimal Control Problem for Evolutionary Pseudodifferential Equations

Vasiliy V. Gorodetsky; Yaroslav M.  Drin'

doi:10.1615/JAutomatInfScien.v46.i4.30

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Home > Journals > Journal of Automation and Information Sciences > Volume 46, 2014 Issue 4 > Time-Nonlocal Two-Point Problem and Optimal Control Problem for Evolutionary Pseudodifferential Equations

Impact factor: 0.024

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i4.30
pages 20-37

Time-Nonlocal Two-Point Problem and Optimal Control Problem for Evolutionary Pseudodifferential Equations

Vasiliy V. Gorodetsky
Yuriy Fedkovych Chernovtsy National University

Yaroslav M. Drin'
Bukovinskiy State Finance and Economic University, Chernovtsy

ABSTRACT

Correct solvability time-nonlocal two-point problem and optimal control problem for parabolic pseudodifferential equations with nonsmooth symbols in the space of generalized functions of distribution type is proved.

KEY WORDS: correct solvability, time-nonlocal two-point problem, optimal control problem, parabolic pseudodifferential equation, nonsmooth symbols, space of generalized functions, distribution type functions.