title: Asymptotic bounds for the time-periodic solutions to the singularly perturbed ordinary differential equations.
abstract: The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.
authors.affiliation: Department of Mathematics, Sinop University, 57000 Sinop, Turkey.
authors.forename: Gabil M
authors.initials: GM
authors.lastname: Amiraliyev
authors.affiliation: Department of Mathematics, Sinop University, 57000 Sinop, Turkey.
authors.forename: Aysenur
authors.initials: A
authors.lastname: Ucar