Pseudo compact almost automorphic solutions to a family of delay differential equations

• Autorzy: Zheng Feng-Xia , Li Hong-Xu

Identyfikatory

DOI

10.1515/dema-2024-0074

• Języki publikacji: EN

Abstrakty

EN

In this article, a family of delay differential equations with pseudo compact almost automorphic coefficients is considered. By introducing a concept of Bi-pseudo compact almost automorphic functions and establishing the properties of these functions, and using Halanay’s inequality and Banach fixed point theorem, some results on the existence, uniqueness and global exponential stability of pseudo compact automorphic solutions of the equations are obtained. Our results extend some recent works. Moreover, an example is given to illustrate the validity of our results.

Słowa kluczowe

EN

delay differential equations; pseudo compact almost automorphic solutions; Bi-pseudo compact almost automorphic; global exponential stability

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240074
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Zheng Feng-Xia

• School of Science, Xihua University, Chengdu, 610039, Sichuan, P. R. China
• Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, P. R. China

autor

Li Hong-Xu

• Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, P. R. China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).