Second order differential inequalities in Banach spaces

• Autorzy: Gerd Herzog , Roland Lemmert
• Języki publikacji: EN

Abstrakty

EN

We derive monotonicity results for solutions of ordinary differential inequalities of second order in ordered normed spaces with respect to the boundary values. As a consequence, we get an existence theorem for the Dirichlet boundary value problem by means of a variant of Tarski's Fixed Point Theorem.

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34A40: Differential inequalities
• 34G20: Nonlinear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 1
• Strony: 69-78

Daty

wydano

2001

Twórcy

autor

Gerd Herzog

• Math. Institut I, Universität Karlsruhe, Englerstr. 2, 76128 Karlsruhe, Germany

autor

Roland Lemmert

• Math. Institut I, Universität Karlsruhe, Englerstr. 2, 76128 Karlsruhe, Germany

Identyfikatory

DOI

10.4064/ap77-1-6