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Kostić, M.; Pilipović, S.; Velinov, D.; Fedorov, V. E.

\(c\)-almost periodic type distributions. (English) Zbl 1484.46046

Chelyabinskiĭ Fiz.-Mat. Zh. 6, No. 2, 190-207 (2021).
Summary: We introduce and systematically analyze various classes of \(c\)-almost periodic type distributions and asymptotically \(c\)-almost periodic type distributions with values in complex Banach spaces. We provide an interesting application in the study of existence of asymptotically \(c\)-almost periodic type solutions for a class of ordinary differential equations in the distributional spaces.

MSC:

46F05 Topological linear spaces of test functions, distributions and ultradistributions
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
42A75 Classical almost periodic functions, mean periodic functions

Keywords:

\(c\)-almost periodic type distribution; asymptotically \(c\)-almost periodic type distribution; generalized function; ordinary differential equation; Banach space
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\textit{M. Kostić} et al., Chelyabinskiĭ Fiz.-Mat. Zh. 6, No. 2, 190--207 (2021; Zbl 1484.46046)
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