We prove a comparison principle for solutions of the Cauchy problem of the nonlinear pseudoparabolic equation with nonnegative bounded initial data. We show stabilization of a maximal solution to a maximal solution of the Cauchy problem for the corresponding ordinary differential equation as under certain conditions on an initial datum.
Submitted March 22, 2012. Published August 20, 2012.
Math Subject Classifications: 35B40, 35B51, 35K70.
Key Words: Pseudoparabolic equation; comparison principle; stabilization.
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| Tatiana Kavitova |
Department of Mathematics, Vitebsk State University
Moskovskii pr. 33, 210038 Vitebsk, Belarus
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