A note on a Herzog's and Lemmert's paper

• Autorzy: Leszczyński H.
• Języki publikacji: EN

Abstrakty

EN

We give an alternative view of the results published in the Herzog's and Lemmert's paper "On maximal and minimal solutions for x'(t)=F(t,x(t),x(h(t))), x(0)=x_0", Comment. Math. XL (2000), 93-102. One can observe that these results con be obtained by classical (elementary) methods, instead of tarski's fixed point theorems in partially ordered spaces.

Słowa kluczowe

EN

advancing argument; maximal solutions; existence and uniqueness

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 2
• Strony: 219--223
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Leszczyński H.

• University of Gdańsk, Poland,

Bibliografia

• [1] G. Herzog and R. Lemmert, On maximal and minimal solutions for \(x'(t) = F(t,x(t),x(h(t)))\), \(x(0) = x_0\), Comment. Math. 90 (2000), 93-102.
• [2] W. Walter, Ordinary Differential Equations, Springer-Verlag, New York, Berlin, Heidelberg, 1998.