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Multiplicity
results for semipositone two-point boundary value
problems
Andrew Arndt and Stephen B. Robinson
Vol. 1 (2008), No. 2, 123–133
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Abstract |
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In this paper we address two-point boundary value problems of the form where the function resembles for some constants , , . We prove the existence of positive solutions for the semipositone case where , and further prove multiplicity under certain conditions. In particular we extend theorems from Henderson and Thompson to the semipositone case. |
Keywords
positone, semipositone, boundary value problem, upper and
lower solution
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Mathematical Subject Classification 2000
Primary: 34B15
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Milestones
Received: 10 June 2007
Accepted: 6 December 2007
Published: 1 July 2008
Communicated by John V. Baxley
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Authors |
| Andrew Arndt | |
| Department of Mathematics Wake Forest University Winston–Salem, NC 27109 United States |
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| Stephen B. Robinson | |
| Department of Mathematics Wake Forest University Winston–Salem, NC 27109 United States |
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