Periodic solutions for some partial neutral functional differential equations
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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.
CitationBenkhalti, R., Elazzouzi, A., & Ezzinbi, K. (2006). Periodic solutions for some partial neutral functional differential equations. Electronic Journal of Differential Equations, 2006(56), pp. 1-14.
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