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DOI: 10.23671/VNC.2014.3.10238
On total preservation of global solvability for a goursat problem associated with a controlled semilinear pseudoparabolic equation
Chernov A. V.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 3.
Abstract: We investigate a Goursat problem associated with a controlled fourth order semilinear equation of the pseudoparabolic type having various applications. Under some hypotheses we prove the total (with respect to the set of admissible controls) preservation of global solvability for the considered problem.
Keywords: Goursat problem, semilinear controlled pseudoparabolic equation, total preservation of global solvability, functional operator equation of the Hammerstein type
For citation: Chernov A. V. On total preservation of global solvability for a goursat problem associated with a controlled semilinear pseudoparabolic equation // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 3, pp.55-63. DOI 10.23671/VNC.2014.3.10238
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