Unbounded Positive Solutions for Second Order Singular Boundary Value Problems with Derivative Dependence on Infinite Intervals
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概要
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The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)-1(p(t)x′(t))′ + Φ(t)f(t,x,px′) = 0, 0 < t < +∞, x(0) = 0, limt→+∞ p(t)x′(t) = 0, using the fixed point index, where f may be singular at px′ = 0.
著者
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Agarwal Ravi
Florida Institute of Technology
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O'Regan Donal
National University of Ireland
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Yan Baoqiang
Shandong Normal University