Periodic solutions for some partial neutral functional differential equations
Date
2006-04-28
Authors
Benkhalti, Rachid
Elazzouzi, Abdelhai
Ezzinbi, Khalil
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this work, we study the existence of periodic solutions for partial neutral functional differential equation. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition. In the nonhomogeneous linear case, we prove that the existence of a bounded solution on ℝ⁺ implies the existence of a periodic solution. In nonlinear case, we use the concept of boundedness and ultimate boundedness to prove the existence of periodic solutions.
Description
Keywords
Integral solutions, Hille-Yosida condition, Boundedness, Ultimate boundedness, Condensing map, Hale and Lunel's fixed point theorem
Citation
Benkhalti, R., Elazzouzi, A., & Ezzinbi, K. (2006). Periodic solutions for some partial neutral functional differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(56), pp. 1-14.
Rights
Attribution 4.0 International