On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil

Umi Mahnuna Hanung, Milan Tvrdý

Integral equations of the form $$x(t)=x(t_0)+{\int }_{t_0}^{t}d[A]x=f(t)-f(t_0)$$ are natural generalizations of systems of linear differential equations. Their main goal is that th…