Higher-order singular multi-point boundary-value problems on time scales
2011 ◽
Vol 54
(2)
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pp. 345-361
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Keyword(s):
AbstractWe study classes of higher-order singular boundary-value problems on a time scale $\mathbb{T}$ with a positive parameter λ in the differential equations. A homeomorphism and homomorphism ø are involved both in the differential equation and in the boundary conditions. Criteria are obtained for the existence and uniqueness of positive solutions. The dependence of positive solutions on the parameter λ is studied. Applications of our results to special problems are also discussed. Our analysis mainly relies on the mixed monotone operator theory. The results here are new, even in the cases of second-order differential and difference equations.
2010 ◽
Vol 37
(1-2)
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pp. 193-205
2000 ◽
Vol 40
(2-3)
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pp. 249-259
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2011 ◽
Vol 27
(10)
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pp. 2073-2084
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2013 ◽
Vol 26
(7)
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pp. 692-698
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1991 ◽
Vol 161
(1)
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pp. 78-116
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2008 ◽
Vol 201
(1-2)
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pp. 762-773
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