Semidiscretization schemes for the autonomous differential equations with noncompact semigroups using the functionalizing parameter method. (English) Zbl 0960.34043

Gurova, Irina

Topol. Methods Nonlinear Anal. 14, No. 2, 385-394 (1999).

Summary: In the case of the abstract autonomous semilinear equation in a Banach space the author provides conditions which ensure that the approximate cycles given by a semidiscretization method converge to the exact cycle.

MSC:

34G20	Nonlinear differential equations in abstract spaces
34C25	Periodic solutions to ordinary differential equations
34A45	Theoretical approximation of solutions to ordinary differential equations
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

abstract autonomous semilinear equation; semidiscretization