On Besicovitch-Doss almost periodic solutions of abstract Volterra integro-differential equations
Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2.

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In this note, we introduce the class of Besicovitch-Doss almost periodic functions in Banach spaces. After that, we investigate Besicovitch-Doss almost periodic properties of finite and infinite convolution products. Our results can be simply incorporated in the qualitative analysis of solutions of certain classes of abstract (degenerate) Volterra integro-differential equations in Banach spaces.
Publié le :
DOI : 10.30755/NSJOM.06546
Classification : 11K70, 35B15, 47D99
Keywords: abstract Volterra integro-differential equations, Besicovitch-Doss almost periodic functions, Besicovitch almost periodic functions, Besicovitch vanishing functions, convolution products
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     author = {Marko Kosti\'c},
     title = {On {Besicovitch-Doss} almost periodic solutions of abstract {Volterra} integro-differential equations},
     journal = {Novi Sad Journal of Mathematics},
     pages = {187 - 200},
     publisher = {mathdoc},
     volume = {47},
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     year = {2017},
     doi = {10.30755/NSJOM.06546},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.06546/}
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Marko Kostić. On Besicovitch-Doss almost periodic solutions of abstract Volterra integro-differential equations. Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2. doi : 10.30755/NSJOM.06546. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.06546/

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