Frontmatter -- Contents -- Introduction. -- Chapter 1 Local behavior of solutions of boundary-value problems for nonlinear parabolic systems in the neighborhood of a stationary or periodic solution. -- Chapter 2 Construction of Liapunov's functionals in the case of one spatial variable. -- Chapter 3 The behavior of solutions of one-dimensional nonlinear problems over extended time. -- Chapter 4 The stability criterion for the trivial solution to the mixed problem for the second order parabolic equation. -- Chapter 5 The attraction domains of stable stationary or stable periodic solutions. -- Chapter 6 On stabilization of mixed problem solutions for autonomous quasilinear parabolic equations. -- Appendix. -- Bibliographyweiterlesen