Multiple Positive Solutions for Singular Quasilinear Multipoint BVPs with the First-Order Derivative
نویسندگان
چکیده
The existence of at least three positive solutions for differential equation φp u′ t ′ g t f t, u t , u′ t 0, under one of the following boundary conditions: u 0 ∑m−2 i 1 aiu ξi , φp u ′ 1 ∑m−2 i 1 biφp u ′ ξi or φp u′ 0 ∑m−2 i 1 aiφp u ′ ξi , u 1 ∑m−2 i 1 biu ξi is obtained by using the H. Amann fixed point theorem, where φp s |s|p−2s, p > 1, 0 < ξ1 < ξ2 < · · · < ξm−2 < 1, ai > 0, bi > 0, 0 < ∑m−2 i 1 ai < 1, 0 < ∑m−2 i 1 bi < 1. The interesting thing is that g t may be singular at any point of 0,1 and f may be noncontinuous.
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