Abstract
In the paper we construct measures of noncompactness in the space of functions defined, continuous and bounded on the real half-axis and taking values in an arbitrary Banach space E. We assume that in the space E is given a measure of noncompactness which is utilized in the construction of measures in question. One of the constructed measures of noncompactness is applied in the proof of a theorem on the existence of solutions of an infinite system of quadratic integral equations in the space of functions defined, continuous and bounded on the real half-axis and with values in the space of bounded real sequences. An example illustrating the mentioned existence result is included.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
