Relative asymptotic equivalence of evolution equations

Abstract:

A generalized concept of dichotomy was used to study relative asymptotic equivalence of evolution equations in a Banach space. A family of solutions of the perturbed system were proved to exist for a given unperturbed system solution and vice versa. The concept was analyzed using functional differential equations.

Año de publicación:

2001

Keywords:

• Polynomial-exponential dichotomy
• Nonlinear evolution equation
• Liapunov number
• asymptotic equivalence
• Asymptotic behavior

Fuente:

google

scopus