Geodesic
Periodic solutions of neutral delay integral equations of advanced type
Electronic journal of differential equations, Tome 2010 (2010)
We study the existence of continuous periodic solutions of a neutral delay integral equation of advanced type. In the analysis we employ three fixed point theorems: Banach, Krasnosel'skii, and Krasnosel'skii-Schaefer. Krasnosel'skii-Schaefer fixed point theorem requires an a priori bound on all solutions. We employ a Liapunov type method to obtain such bound.
Classification : 45D05, 45J05
Keywords: Volterra integral equation, neutral delay integral equation, periodic solution, krasnosel'sii's fixed point theorem, Schaefer's fixed point theorem, Liapunov's method 
@article{EJDE_2010__2010__a77,
     author = {Islam,  Muhammad N. and Sultana,  Nasrin and Booth,  James},
     title = {Periodic solutions of neutral delay integral equations of advanced type},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1205.45013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a77/}
}
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AU  - Booth,  James
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Islam,  Muhammad N.; Sultana,  Nasrin; Booth,  James. Periodic solutions of neutral delay integral equations of advanced type. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a77/