On the Pseudo Almost Automorphic Solutions for Lienard -Type Systems with Multiple Delays

Authors

  • Ramazan Yazgan Van Yuzuncu Yil University, Department of Mathematics

Keywords:

Banach fixed point theorem, Lienard-type system, Pseudo almost automorphic

Abstract

In this study, pseudo almost automorphic(PAA) solutions ofa Lienard-type system with multiple delays are considered. By applyingthe main features of PAA, Banach xed point theorem and some dier-ential inequalities, sucient conditions for the existence and uniquenessof such solutions are obtained . Since the PAA is more general than thealmost periodicity(AP) and pseudo almost periodicity(PAP), this workis a new and complementary compared to previous studies. In addition,an example is given to show the correctness of the created conditions.

Author Biography

Ramazan Yazgan, Van Yuzuncu Yil University, Department of Mathematics

Van Yüzüncü Yıl Universty

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Published

2021-11-27

Issue

Section

Vol. 16, No. 9, (2022)