New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications

作者：Blot Joel; Cieutat Philippe; Ezzinbi Khalil^*

来源：Applicable Analysis, 2013, 92(3): 493-526.

DOI：10.1080/00036811.2011.628941

• measure theory
• ergodicity
• mu-pseudo almost periodic function
• completeness and composition theorem
• evolution equations
• reaction diffusion system
• partial functional differential equations

The aim of this work is to present new approach to study weighted pseudo almost periodic functions using the measure theory. We present a new concept of weighted ergodic functions which is more general than the classical one. Then we establish many interesting results on the functional space of such functions like completeness and composition theorems. The theory of this work generalizes the classical results on weighted pseudo almost periodic functions. For illustration, we provide some applications for evolution equations which include reaction diffusion systems and partial functional differential equations.

• 出版日期2013-3-1