Existence of solutions to a boundary-value problem for an infinite system of differential equations
Date
2017-10-17
Authors
Banas, Jozef
Mursaleen, Mohammad
Rizvi, Syed M. H.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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 lp with p ≥ 1.
Description
Keywords
Measure of noncompactness, Equicontinuous family, Boundary value problem, Infinite system of differential equations, Fredholm integral equation
Citation
Banas, J., Mursaleen, M., & Rizvi, S. M. H. (2017). Existence of solutions to a boundary-value problem for an infinite system of differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(262), pp. 1-12.
Rights
Attribution 4.0 International