Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (S1): 124-128.

• Articles • Previous Articles    

POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Ma Ruyun, Zhang Fengrun   

  1. Department of Mathematics, Normal University, Lanzhou 730070, China
  • Received:1997-01-13 Revised:1997-06-17 Online:1998-12-31 Published:1998-12-31

Abstract: Under suitable conditions on h(x)and f(u)|the authors show that the following boundary value problem
(d4y)/dx4-h(x)f(y(x))=0,
y(0)=y(1)=y"(0)=y"(1)=0
has at least one positive solution.Moreover|the authors also establish several existence theorems of multiple positive solutions

Key words: fourth-order BVP, positive solution, cone, fixed point

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