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2003, 2003(Special): 501-506. doi: 10.3934/proc.2003.2003.501

Multiple positive eigenvalues of conjugate boundary value problems with singularities

K. Q. Lan 1,

1. 

Department of Mathematics, Ryerson University, Toronto, Ontario, M5B 2K3, Canada

Received  September 2002 Revised  March 2003 Published  April 2003

This paper treats the existence of one or several positive eigenvalues for some nth order differential equations with conjugate boundary conditions. The approach is to employ a well-known result on the existence of positive eigenvalues for Hammerstein integral equations obtained recently by the author. Closed intervals which the eigenvalues belong to are studied and applied to obtain new results on the existence of multiple positive eigenvalues.
Keywords: cone., Hammerstein integral equation, conjugate boundary condition, nth order differential equation, multiple positive eigenvalues.
Mathematics Subject Classification: Primary: 34B15; Secondary: 34B16, 47H10, 47H3.
Citation: K. Q. Lan. Multiple positive eigenvalues of conjugate boundary value problems with singularities. Conference Publications, 2003, 2003 (Special) : 501-506. doi: 10.3934/proc.2003.2003.501
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