Delay independent stability for some partial functional differential equations with infinite delay under the light of positivity

• Khalil Ezzinbi ^[1] ; Soumia Lalaoui Rhali ^[2]
  1. [1] Universidad Cadi Ayyad
  2. [2] Universidad Sidi Mohamed Ben Abdellah
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 76, Nº. 2, 2019, págs. 295-308
• Idioma: inglés
• DOI: 10.1007/s40324-018-0178-9
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this work, we deal with the positivity and stability study for some partial functional differential equations with infinite delay and Hille–Yosida operators. We first show the positivity of solutions in a suitable phase space. This enables us to establish a stability criterion independently of delay.