On total preservation of global solvability for a~Goursat problem associated with a~controlled semilinear pseudoparabolic equation
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 3, pp. 55-63

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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.
@article{VMJ_2014_16_3_a5,
     author = {A. V. Chernov},
     title = {On total preservation of global solvability for {a~Goursat} problem associated with a~controlled semilinear pseudoparabolic equation},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {55--63},
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A. V. Chernov. On total preservation of global solvability for a~Goursat problem associated with a~controlled semilinear pseudoparabolic equation. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 3, pp. 55-63. http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a5/