EXISTENCE OF POSITIVE SOLUTIONS FOR INTEGRAL EQUATIONS WITH VANISHING KERNELS

RUYUN MA; CHENGKUI ZHONG

Title	EXISTENCE OF POSITIVE SOLUTIONS FOR INTEGRAL EQUATIONS WITH VANISHING KERNELS
Publication Type	Journal Article
Year of Publication	2011
Authors	MA, RUYUN, ZHONG, CHENGKUI
Volume	15
Issue	4
Start Page	529
Pagination	10
Date Published	2011
ISSN	1083-2564
AMS	34B15
Abstract	We study the existence of positive solutions of integral equations in C [0, 1] where the kernel is supposed to be non-negative on [0,1] × [0,1] but may vanish at the interior points which prevent us of some standard cones. We prove existence of one or two positive solutions under some sharp conditions, and we do not need any convexity assumptions on the nonlinearities. The proof of the main results is based upon bifurcation techniques.
URL	http://www.acadsol.eu/en/articles/15/4/9.pdf
Refereed Designation	Refereed
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