Besicovitch almost periodic solutions for a class of second order differential equations involving reflection of the argument

Abstract

In this paper, using the Fourier series expansion and fixed point methods, we investigate the existence and uniqueness of Besicovitch almost periodic solutions for a class of second order differential equations involving reflection of the argument. Lipschitz nonlinear case is considered.

Keywords

• besicovitch almost periodic solutions
• trigonometric polynomials
• differential equations
• reflection of the argument
• fixed point methods