On extremal solutions of differential equations with advanced argument

• Autorzy: Antoni Augustynowicz , Jan Jankowski
• Języki publikacji: EN

Abstrakty

EN

We obtain existence of absolutely continuous extremal solutions of the problem \(u'(x) = F(x, u(x), u(h(x)))\), \(u(0) = u_0\), and the Darboux problem for \(u_{xy}(x, y) = G(x, y, u(x, y), u(H(x, y)))\), where \(h\) and \(H\) are arbitrary continuous deviated arguments.

Słowa kluczowe

EN

functional differential equations; advanced argument; extremal solutions; Darboux problem; Carathéodory condition

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2006
• Tom: 46
• Numer: 1

Daty

wydano

2006

online

2017-12-19

Twórcy

autor

Antoni Augustynowicz

autor

Jan Jankowski

Identyfikatory

DOI

10.14708/cm.v46i1.5205