<p>This paper introduces and studies the concept of double-measure pseudo Besicovitch almost periodic functions for Besicovitch almost periodic functions defined via the Bohr property. After establishing their fundamental properties, we apply this theory to investigate a generalized Lasota-Wazewska model with mixed delays. Sufficient conditions are obtained for the existence and global exponential stability of Besicovitch almost periodic solutions as well as double-measure pseudo Besicovitch almost periodic solutions of the model. Finally, an example is provided to demonstrate the validity of the main results.</p>

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Measure Pseudo Besicovitch Almost Periodic Functions and an Application to a Lasota-Wazewska Model

  • Yongkun Li

摘要

This paper introduces and studies the concept of double-measure pseudo Besicovitch almost periodic functions for Besicovitch almost periodic functions defined via the Bohr property. After establishing their fundamental properties, we apply this theory to investigate a generalized Lasota-Wazewska model with mixed delays. Sufficient conditions are obtained for the existence and global exponential stability of Besicovitch almost periodic solutions as well as double-measure pseudo Besicovitch almost periodic solutions of the model. Finally, an example is provided to demonstrate the validity of the main results.