Solvability of an infinite system of general order differential equation in sequence space $n(\phi)$ via measures of noncompactness and operator type contraction
Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 1, pp. 59-69
Asif Hussain Jan; Tanweer Jalal; Asif Hussain Jan; Tanweer Jalal. Solvability of an infinite system of general order differential equation in sequence space $n(\phi)$ via measures of noncompactness and operator type contraction. Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/AMUC_2024_93_1_a4/
@article{AMUC_2024_93_1_a4,
     author = {Asif Hussain Jan and Tanweer Jalal and Asif Hussain Jan and Tanweer Jalal},
     title = { Solvability of an infinite system of general order differential equation in sequence space $n(\phi)$ via measures of noncompactness and operator type contraction},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {59--69},
     year = {2024},
     volume = {93},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2024_93_1_a4/}
}
TY  - JOUR
AU  - Asif Hussain Jan
AU  - Tanweer Jalal
AU  - Asif Hussain Jan
AU  - Tanweer Jalal
TI  - Solvability of an infinite system of general order differential equation in sequence space $n(\phi)$ via measures of noncompactness and operator type contraction
JO  - Acta mathematica Universitatis Comenianae
PY  - 2024
SP  - 59
EP  - 69
VL  - 93
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2024_93_1_a4/
ID  - AMUC_2024_93_1_a4
ER  - 
%0 Journal Article
%A Asif Hussain Jan
%A Tanweer Jalal
%A Asif Hussain Jan
%A Tanweer Jalal
%T Solvability of an infinite system of general order differential equation in sequence space $n(\phi)$ via measures of noncompactness and operator type contraction
%J Acta mathematica Universitatis Comenianae
%D 2024
%P 59-69
%V 93
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2024_93_1_a4/
%F AMUC_2024_93_1_a4

Voir la notice de l'article provenant de la source Comenius University

This study uses a method related to measures of noncompactness and operator type contraction to provide existence results for an infinite system of n-dimensional differential equations with boundary conditions in the Banach space $n(\phi)$. To support our existence theorem, we also offer a few concrete examples.