Geodesic
Multiplicity of positive solutions for a nonlinear fourth order equation
D. R. Dunninger1
1 Department of Mathematics Michigan State University East Lansing, MI 48824, U.S.A.
Annales Polonici Mathematici, Tome 77 (2001) no. 2, pp. 161-168

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem $$ \left\{\eqalign{\!u^{(4)} =\lambda f(u) \quad \hbox{in } (0,1),\cr \!u(0)=a\ge 0, \quad u'(0)=a'\ge 0,\quad u(1)=b\ge 0,\quad u'(1)=-b'\le 0.\cr}\right. $$ The methods employed are upper and lower solutions and degree theory arguments.
DOI : 10.4064/ap77-2-3
Keywords: study existence multiplicity positive solutions nonlinear fourth order problem eqalign lambda quad hbox quad quad quad b right methods employed upper lower solutions degree theory arguments

D. R. Dunninger 1

1 Department of Mathematics Michigan State University East Lansing, MI 48824, U.S.A. 
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D. R. Dunninger. Multiplicity of positive solutions for a
nonlinear fourth order equation. Annales Polonici Mathematici, Tome 77 (2001) no. 2, pp. 161-168. doi: 10.4064/ap77-2-3

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