Multiplicity of positive solutions for a nonlinear fourth order equation

• Autorzy: D. R. Dunninger
• Języki publikacji: EN

Abstrakty

EN

We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem
⎧$u^{(4)} = λf(u)$ in (0,1),
⎨
⎩u(0) = a ≥ 0, u'(0) = a' ≥ 0, u(1) = b ≥ 0, u(1) = -b' ≤ 0
The methods employed are upper and lower solutions and degree theory arguments.

Kategorie tematyczne

• 34B18: Positive solutions of nonlinear boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 2
• Strony: 161-168

Daty

wydano

2001

Twórcy

autor

D. R. Dunninger

• Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A.

Identyfikatory

DOI

10.4064/ap77-2-3