Abstract
Based on a certain criterion for relative compactness in the space of functions with tempered increments, we construct a formula expressing a set function in that space. We prove that the mentioned function is a sublinear measure of noncompactness in the space in question. Moreover, we show that with help of that measure of noncompactness, we can obtain an existence result for a nonlinear quadratic integral equation of Hammerstein type in the space of function satisfying the Hölder condition.
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.
