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Abstract. We consider a class of singular nonautonomous second order differential equations. We prove the existence of at least one periodic solution. We use a variational approach based on the mountain pass theorem.2000 Mathematics Subject Classification: 34B15 -34C15 -34C25 -58E05.

In this paper we discuss the existence of positive periodic solutions for nonautonomous second order delay differential equations with singular nonlinearities in the presence of impulsive effects. Simple sufficient conditions are provided that enable us to obtain positive periodic solutions. Our approach is based on a variational method.

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We discuss the existence of periodic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions that enable us to obtain many distinct periodic solutions are provided. Our approach is based on a variational method.