The analysis of some special results of a Lasota–Wazewska model with mixed variable delays

Advances in Difference Equations

Osman Tunç¹  Ramazan Yazgan² 

[1] Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University, Campus, 65080, Van, Turkey;Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, 65080, Van, Turkey;

关键词: Lasota–Wazewska system;    Banach fixed point theorem;    Variable time delay;    Weighted pseudo almost periodic;    34K20;    34K14;    34C27;    92D25;   

DOI  :  10.1186/s13662-021-03403-y

来源: Springer

【 摘 要 】

This study is about getting some conditions that guarantee the existence and uniqueness of the weighted pseudo almost periodic (WPAP) solutions of a Lasota–Wazewska model with time-varying delays. Some adequate conditions have been obtained for the existence and uniqueness of the WPAP solutions of the Lasota–Wazewska model, which we dealt with using some differential inequalities, the WPAP theory, and the Banach fixed point theorem. Besides, an application is given to demonstrate the accuracy of the conditions of our main results.

【 授权许可】

CC BY