MULTIPLE POSITIVE SOLUTIONS OF RESONANT AND NON-RESONANT NON-LOCAL FOURTH-ORDER BOUNDARY VALUE PROBLEMS
2011 ◽
Vol 54
(1)
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pp. 225-240
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Keyword(s):
AbstractWe study the existence of positive solutions for equations of the form where 0 < ω < π, subject to various non-local boundary conditions defined in terms of the Riemann–Stieltjes integrals. We prove the existence and multiplicity of positive solutions for these boundary value problems in both resonant and non-resonant cases. We discuss the resonant case by making a shift and considering an equivalent non-resonant problem.
2012 ◽
Vol 63
(9)
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pp. 1369-1381
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2012 ◽
Vol 252
(5)
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pp. 3403-3435
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2011 ◽
Vol 61
(11)
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pp. 3355-3363
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