2 papers
math.CA2026
Multiple solutions of singular periodic problems
Milan Tvrdý
In this contribution we consider the singular periodic problem \[ u''+k\,u=g(u)+e(t),\quad u(0)=u(2π),\,\,u'(0)=u'(2π), \] where $e:\J\to\R$ is Lebesgue integrable and $g…
math.CA2014
Bounded convergence theorem for abstract Kurzweil-Stieltjes integral
Giselle Antunes Monteiro, Umi Mahnuna Hanung, Milan Tvrdy
In the theories of Lebesgue integration and of ordinary differential equations, the Lebesgue Dominated Convergence Theorem provides one of the most widely used tools. Available ana…