On the solvability of some discontinuous functional impulsive problems

• Main Authors: Feliz Minhós, Milan Tvrdy, Mirosława Zima
• Format: Article
• Language: English
• Published: University of Szeged 2020-12-01
• Series: Electronic Journal of Qualitative Theory of Differential Equations
• Subjects: functional problems; generalized impulsive conditions; upper and lower solutions; fixed point theory; boundary value problem
• Online Access: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8928
• ISSN: 1417-3875; 1417-3875

This paper deals with impulsive problems consisting of second order differential equation with impulsive effects depending implicitly on the solution and with rather general nonlocal boundary conditions. The arguments are based on the lower and upper solutions method and a fixed point theorem.