Massera criterion for abstract functional differential equations with advance and delay

Abstract

This article is concerned with the Massera criterion for periodic mild solutions of the equations of the form

where A generates an analytic semigroup on a Banach space X, B is an L(X)-valued function of bounded variation, and f is a continuous 1-periodic function. The obtained results extend recent ones [13, 17] on the subject.

Keywords:

• Abstract functional differential equation
• Massera criterion
• Periodic solution
• AMS Subject Classifications: 34K13
• 34K30
• 34G10

Notes

E-mail: [email protected]

E-mail: [email protected]

E-mail: [email protected]

Additional information

Notes on contributors

Toshiki Naito ‡

E-mail: [email protected] E-mail: [email protected]