Solvability of infinite systems of second order differential equations in the sequence space m(Δvu,ϕ,p).

Autor: Ghanenia, Amir, Khanehgir, Mahnaz, Mehrabinezhad, Mohammad, Allahyari, Reza, Amiri Kayvanloo, Hojjatollah
Zdroj: Rendiconti del Circolo Matematico di Palermo (Series 2); Aug2021, Vol. 70 Issue 2, p675-685, 11p
Abstrakt: We introduce the Hausdorff measure of noncompactness on the sequence space m (Δ v u , ϕ , p) . Moreover, we use the concept of measure of noncompactness to investigate the existence of solution of second order differential equations with initial conditions in the sequence space m (Δ v u , ϕ , p) . Finally, we give an illustrative example to verify the effectiveness and applicability of our results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index