Periodic boundary value problems for second order integro-differential equations of volterra type

Abstract

The existence of solutions of periodic boundary value problems for second order integro-differential equation is considered. When the function involved is assumed to be increasing relative to integral terms, the results become straight-forward. On the otherhand, when increasing nature is not assumed, the proofs breakdown since the existing com- parison results demand it. This paper deals with this case and obtains deeper results.