Abstract:
The large-time asymptotic behavior of solutions to the periodic boundary value problem for a
nonlinear Sobolev-type equation is studied. In particular, the case where the initial perturbations
are not small is considered. In this case, the large-time behavior of solutions is dichotomous.
Keywords:
periodic boundary value problem, Sobolev-type equation, asymptotic behavior.
Citation:
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 14–26; Funct. Anal. Appl., 44:3 (2010), 171–181