• 1. Preliminaries; 2. Local spectral asymptotics; 3. Global spectral asymptotics; 4. Uniform approximation of trajectories of solutions of semigroups depending on a parameter; 5. The asymptotics of solutions of reaction diffusion equations with small parameter; 6. Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations; 7. Asymptotics of solutions of singular perturbed evolutionary equations; Appendix.

"...makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews

• 1. Preliminaries; 2. Local spectral asymptotics; 3. Global spectral asymptotics; 4. Uniform approximation of trajectories of solutions of semigroups depending on a parameter; 5. The asymptotics of solutions of reaction diffusion equations with small parameter; 6. Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations; 7. Asymptotics of solutions of singular perturbed evolutionary equations; Appendix.

"...makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews

• 1. Preliminaries; 2. Local spectral asymptotics; 3. Global spectral asymptotics; 4. Uniform approximation of trajectories of solutions of semigroups depending on a parameter; 5. The asymptotics of solutions of reaction diffusion equations with small parameter; 6. Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations; 7. Asymptotics of solutions of singular perturbed evolutionary equations; Appendix.

"...makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews