Fixed points and solutions of boundary value problems at resonance

• Autorzy: Alaa Almansour , Paul Eloe
• Języki publikacji: EN

Abstrakty

EN

We consider a simple boundary value problem at resonance for an ordinary differential equation. We employ a shift argument and construct a regular fixed point operator. In contrast to current applications of coincidence degree, standard fixed point theorems are applied to give sufficient conditions for the existence of solutions. We provide three applications of fixed point theory. They are delicate and an application of the contraction mapping principle is notably missing. We give a partial explanation as to why the contraction mapping principle is not a viable tool for boundary value problems at resonance.

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34B27: Green functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 3
• Strony: 263-274

Daty

wydano

2015

Twórcy

autor

Alaa Almansour

• Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, U.S.A.

autor

Paul Eloe

• Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, U.S.A.

Identyfikatory

DOI

10.4064/ap115-3-5