Skip to content

Abdallah Afoukal, Meryem El Attaouy, Khalil Ezzinbi, Stepanov oscillatory type solutions for renewal equations with infinite delay: Application to an epidemic model with waning immunity

Full Text: PDF
DOI: 10.23952/asvao.8.2026.1.01
Volume 8, Issue 1, 1 April 2026, Pages 1-29

 

Abstract. We establish a new result on the reduction principle for nonhomogeneous autonomous linear renewal equations with the forcing term bounded by mean values. This result is then used, together with a variation of constants formula, to prove Stepanov’s version of Massera and Bohr-Neugebauer-type results. We also investigate uniqueness conditions in both the linear and nonlinear cases. Finally, we apply our theoretical results to an epidemic model with waning immunity.

 

How to Cite this Article:
A. Afoukal, M. El Attaouy, K. Ezzinbi, Stepanov oscillatory type solutions for renewal equations with infinite delay: Application to an epidemic model with waning immunity, Appl. Set-Valued Anal. Optim. 8 (2026), 1-29.