CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Application of Measure of Noncompactness to Infinite Systems of Differential Equations

  Published:2011-08-31
 Printed: Jun 2013
  • M. Mursaleen,
    Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Format:   LaTeX   MathJax   PDF  

Abstract

In this paper we determine the Hausdorff measure of noncompactness on the sequence space $n(\phi)$ of W. L. C. Sargent. Further we apply the technique of measures of noncompactness to the theory of infinite systems of differential equations in the Banach sequence spaces $n(\phi)$ and $m(\phi)$. Our aim is to present some existence results for infinite systems of differential equations formulated with the help of measures of noncompactness.
Keywords: sequence spaces, BK spaces, measure of noncompactness, infinite system of differential equations sequence spaces, BK spaces, measure of noncompactness, infinite system of differential equations
MSC Classifications: 46B15, 46B45, 46B50, 34A34, 34G20 show english descriptions Summability and bases [See also 46A35]
Banach sequence spaces [See also 46A45]
Compactness in Banach (or normed) spaces
Nonlinear equations and systems, general
Nonlinear equations [See also 47Hxx, 47Jxx]
46B15 - Summability and bases [See also 46A35]
46B45 - Banach sequence spaces [See also 46A45]
46B50 - Compactness in Banach (or normed) spaces
34A34 - Nonlinear equations and systems, general
34G20 - Nonlinear equations [See also 47Hxx, 47Jxx]
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/