Geodesic
Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 17-29

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We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables. The mixed problem is reduced to the Volterra integral equation of the second kind, and the inverse problem — to the system of Volterra integral equations. The unique solvability of the inverse problem and the stability of its solution are proved.
Keywords: nonlinear inverse problem, high order pseudoparabolic operator, generalized solvability. 
@article{VSGTU_2012_3_a1,
     author = {T. K. Yuldashev},
     title = {Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {17--29},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a1/}
}
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T. K. Yuldashev. Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 17-29. http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a1/