An Approximate solution for a class of non-linear hill's equations

Abstract

The object of this paper is to prove the existence of an approximate solution in the mean for some non-hear differential equations. Further, we investigate the behavior of the class or solutions which may be associated with the differential equalion.

Keywords:

• Nonlinear differential equations
• Periodic solutions

AMS Subject Classification:

• 34B15
• 34Cll
• 34C99
• 34C25