ALMOST PERIODIC SOLUTIONS TO SOME SECOND-ORDER NONAUTONOMOUS DIFFERENTIAL EQUATIONS

作者：Diagana Toka^*

来源：Proceedings of the American Mathematical Society, 2012, 140(1): 279-289.

• Schauder fixed point theorem
• exponential dichotomy
• almost periodic
• second-order differential equation

This paper is concerned with the existence of almost periodic mild solutions to some second-order equations. Using dichotomy tools and the Schauder fixed point theorem, the existence of almost periodic mild solutions to those second-order evolution equations is established. To illustrate our abstract results, the existence of almost periodic solutions to a damped second-order boundary value problem is also discussed.

• 出版日期2012-1