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