Jozef Banas, Mohammad Mursaleen, Syed M. H. Rizvi
Abstract:
Using techniques associated with measures of noncompactness we prove
an existence of solutions for a boundary-value problem for an infinite
system of ordinary differential equations of second order.
Our approach depends on transforming of the original boundary-value problem
into an infinite system of integral equations of Fredholm type.
The settings for this article are in the classical Banach sequence
space
with
.
Submitted August 3, 2017. Published October 17, 2017.
Math Subject Classifications: 34G20, 47H08.
Key Words: Measure of noncompactness; equicontinuous family;
boundary value problem; infinite system of differential equations;
Fredholm integral equation.
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Jozef Banas Department of Nonlinear Analysis Rzeszow University of Technology al. Powstancow Warszawy 8, 35-959 Rzeszow, Poland email: jbanas@prz.edu.pl | |
Mohammad Mursaleen Department of Mathematics Aligarh Muslim University Aligarh 202002, India email: mursaleenm@gmail.com | |
Syed M. H. Rizvi Department of Mathematics Aligarh Muslim University Aligarh 202002, India email: syedrizvi022@gmail.com |
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