Application of measures of noncompactness to the infinite system of second-order differential equations in l(p) spaces

作者：Mohiuddine Syed Abdul; Srivastava Hari M; Alotaibi Abdullah

来源：Advances in Difference Equations, 2016, 2016(1): 317.

DOI：10.1186/s13662-016-1016-y

• measure of noncompactness
• Darbo-type fixed point theorem
• infinite system of second-order differential equations
• sequence spaces

In this article, we use the technique based upon measures of noncompactness in conjunction with a Darbo-type fixed point theorem with a view to studying the existence of solutions of infinite systems of second-order differential equations in the Banach sequence space l(p). An illustrative example is also given in support of our existence result.

• 出版日期2016-12-5
• 单位中国医科大学