Almost automorphic solutions for some partial functional differential equations
By Khalil Ezzinbi, Gaston M. N'Guérékata. 2007
57 citations recorded by the source corpus.
Abstract In this work, we study the existence of almost automorphic solutions for some partial functional differential equations. We prove that the existence of a bounded solution on R + implies the existence of an almost automorphic solution. Our results extend the classical known theorem by Bohr and Neugebauer on the existence of almost periodic solutions for inhomegeneous linear almost periodic differential equations. We give some applications to hyperbolic equations and Lotka–Volterra type equations used to describe the evolution of a single diffusive animal species.
Subfields: Applied Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/f8d534d8709189b1f4e7ca0d3b1c23a63568cc9a
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In Applied Mathematics
- Khalil Ezzinbi
- Joël Blot
- Philippe Cieutat
- Toka Diagana
- Mamadou Abdoul Diop
- Mamadou Moustapha Mbaye
- Mohsen Miraoui
In Control and Systems Engineering
- Khalil Ezzinbi
- Joël Blot
- Philippe Cieutat
- Toka Diagana
- Mamadou Moustapha Mbaye
- Mamadou Abdoul Diop
- Mohsen Miraoui
In Public Health, Environmental and Occupational Health
Citations in the corpus
- New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications (2013, background): “@ Assume that (H3) holds , then V ( t ) is compact for t > r .”