Article
MSC:
34C27,
34K14,
35B15,
37B25,
92B20,
92C20 | MR 4409312 | Zbl 07547201 | DOI: 10.21136/AM.2022.0201-20
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Keywords:
pseudo almost automorphic solution; double measure; mixed delays
pseudo almost automorphic solution; double measure; mixed delays
Summary:
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a $(\mu ,\nu )$-pseudo almost automorphic solution. The theory of this work generalizes the classical results on weighted pseudo almost automorphic functions. Finally, a numerical example is provided to illustrate the validity of the proposed theoretical results.
References:
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