In [1], the authors established a priori estimate for the solution of quasi-inverse problem for different weight functions, and they established a priori estimate for a higher order of the same problem. In this paper we get the generalized a priori estimation for the uniqueness solution of quasi-inverse problems and we get the sufficient conditions for the existence of classical solution of quasi-inverse problems, such a problem play an important role in optimal control theory. Many works were devoted to this problem and the control problem of heat conduction with inverse direction of time and integral boundary conditions [4, 5, 6, 7, 8, 9].

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 3
Year: 2020

DOI: 10.12732/ijam.v33i3.3

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