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2008
DOI: 10.1007/s10474-008-7009-x
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Periodic solutions of abstract neutral functional differential equations with infinite delay

Abstract: We establish the existence of mild solutions and periodic mild solutions for a class of abstract rst-order non-autonomous neutral functional differential equations with innite delay in a Banach space.

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Cited by 9 publications
(4 citation statements)
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References 32 publications
(39 reference statements)
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“…where A is infinitesimal generator of a strongly continuous semigroup. Herniquez and Vasquez [13] proved the existence of almost periodic solution to (2.5). These types of equations are often referred to as the abstract retarded functional differential equation.…”
Section: Definition 21mentioning
confidence: 99%
“…where A is infinitesimal generator of a strongly continuous semigroup. Herniquez and Vasquez [13] proved the existence of almost periodic solution to (2.5). These types of equations are often referred to as the abstract retarded functional differential equation.…”
Section: Definition 21mentioning
confidence: 99%
“…Akdad et al 35 presented existence results for the Stepanov 𝜇-pseudo almost automorphic and periodic mild solution. Zhou and Jiao, Vijayakumar and Udhayakumar, Hernández and O'Regan, and Henriquez [36][37][38][39] investigated existence and uniqueness for certain classes of the fractional system by employing the fixed point approach, fractional theories, and measure of noncompactness, etc.…”
Section: Introductionmentioning
confidence: 99%
“…See [9,10] for a more practical background of this kind of equations. In the past years, existence results and asymptotic properties of solutions for this type of neutral systems have been investigated by many authors (e.g., [11][12][13][14][15][16][17]).…”
Section: Introductionmentioning
confidence: 99%