Periodic solutions to certain classes of third order delay differential equations
S. A. Olayemi, B. S. Ogundare
In this paper, existence of unique periodic solutions for two classes of
third order delay differential equations are considered. The two equations
are expressed in their integral equivalents with which suitable Green’s
function is constructed and its associated properties stated. The main
tool adopted to establish the existence of unique periodic solutions to
the classes of delay differential equations is the Krasnoselskii’s fixed point
theorem due to its applicability to the combination of a compact and
contraction mappings which occur in dealing with perturbed differential
operators.
Tbilisi Mathematical Journal, Vol. 13(3) (2020), pp. 171187
