Geodesic
Semi-Bloch periodic functions, semi-anti-periodic functions and applications
Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 2, pp. 245-255

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We introduce the notions of semi-Bloch periodic functions and semi-anti-periodic functions. Stepanov semi-Bloch periodic functions and Stepanov semi-anti-periodic functions are considered, as well. We analyze the invariance of introduced classes under the actions of convolution products and briefly explain how one can use the obtained results in the qualitative analysis of solutions of abstract inhomogeneous integro-differential equations.
Keywords: semi-Bloch $k$-periodic functions, semi-anti-periodic functions, integro-differential equations. 
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     author = {B. Chaouchi and M. Kosti\'c and S. Pilipovi\'c and D. Velinov},
     title = {Semi-Bloch periodic functions, semi-anti-periodic functions and applications},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {245--255},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_2_a4/}
}
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B. Chaouchi; M. Kostić; S. Pilipović; D. Velinov. Semi-Bloch periodic functions, semi-anti-periodic functions and applications. Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 2, pp. 245-255. http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_2_a4/