Photo from academic.microsoft.com
Abstract In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear… Click to show full abstract
Abstract In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear differential equations we examine convolution involving functions integrable in Henstock-Kurzweil sense. In the case of nonlinear Hammerstein integral equation as well as Volterra integral equation we look for solutions in the space of functions of bounded variation in the sense of Jordan.
Keywords:
kurzweil integrals;
applications henstock;
henstock kurzweil;
integral equations;
kurzweil;
differential integral
Journal Title: Mathematica Slovaca
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematica Slovaca
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!