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Periodic Solutions of Integro-Differential Equations
Faculty Polydisciplinary, Bni Mellal, Morocco
- 1 Faculty Polydisciplinary, Bni Mellal, Morocco
Advances in Pure Mathematics·Volume 12 (2022)·Pages 125–135·Published 7 March 2022·DOI10.4236/apm.2022.123011
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Abstract
The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2 π ) with the periodic condition x (0) = x (2 π ) , where a ∈ L 1 (R + ) . Our approach is based on the M-boundedness of linear operators B s p,q -multipliers and some results in Besov space.
KeywordsIntegro-Differential Equations<i>B<sup>s</sup><sub>p</sub><sub>q</sub></sub></i>-MultipliersBesov Space
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