Multiple Positive Solutions for Even Order Sturm-Liouville Boundary Value Problems
Acta mathematica scientia,Series A
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Sun Hongrui ; Li Wantong
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Abstract:
In this paper the authors discuss the existence of positive solution to the following even order boundary value problem
(-1)m y(2m)=f(t,y), 0≤t≤1,ai+1y(2i) (0)-βi+1y (2i+1) (0)=0, γi+1y(2i) (1)+δi+1y(2i+1) (1)=0,0≤i ≤m-1
Sufficient conditions are obtained for existence of three or arbitrary odd positive solutions of the above problem by using Leggett-Williams fixedpoint theorem.
Key words: Positive solution, Cone, Fixed point, Boundary value problem
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Sun Hongrui ; Li Wantong.
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URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2006/V26/I5/700
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