Abstract
Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity
Highlights
The theory of integral equations creates an important branch of nonlinear analysis
Both linear and nonlinear integral equations are applied in the description of several problems encountered in natural and exact sciences
A lot of interest has been directed to applications of the so-called fractional integral equations since those equations find a lot of applications in important real world topics connected with kinetic theory of gases, radiative transfer, in the theory of diffraction and so on
Summary
The theory of integral equations creates an important branch of nonlinear analysis. Both linear and nonlinear integral equations are applied in the description of several problems encountered in natural and exact sciences. Our goal in this paper is to consider the existence of solutions of a quadratic Volterra– Stieltjes integral equations in the class of real functions defined and continuous on the real half-axis and having finite limits at infinity. As we pointed out above, in our considerations we will look for conditions guaranteeing the existence of solutions of quadratic integral equations in the class of functions which are defined, continuous on the interval [0, ∞) and converging to finite limits at infinity. In what follows we will use a measure of noncompactness of such a type in a Banach space BC(R+) consisting of functions x : R+ → R which are continuous and bounded on R+. Details concerning the integral of form (2.3) will be provided later
Sign-in/Register to view highlights & summary 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 callMore From: Electronic Journal of Qualitative Theory of Differential Equations
Disclaimer: 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.
