Triple Positive Solutions for Multipoint Conjugate Boundary Value Problems |
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| Authors: | Davis John M Eloe Paul W Henderson Johnny |
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| Institution: | (1) Department of Mathematics, Auburn University, Auburn, AL 36849, USA;(2) Department of Mathematics, University of Dayton, Dayton, OH 45469, USA |
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| Abstract: | For the nth order nonlinear differential equation y
(n)(t)=f(y(t)), t  0,1], satisfying the multipoint conjugate boundary conditions, y
(j)(ai) = 0,1  i k, 0 j n
i
- 1, 0 =a
1 < a
2 <  < a
k
= 1, and 
i=1
k
n
i
=n, where f:  0,  ) is continuous, growth condtions are imposed on f which yield the existence of at least three solutions that belong to a cone. |
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| Keywords: | Multiple positive solutions multipoint conjugate boundary value problem fixed points |
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