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摘要
The upper and lower solutions method is used to study the p-Laplacian fractional boundary value problem D(0+)(gamma) (phi(p)(D(0+)(a)u(t)) = f (t, u(t)), 0 < t < 1, u(0) = 0, u(1) = au(xi), D(0+)(alpha)u(0) = 0, and D(0+)(alpha)u(1) = bD(0+)(alpha)u(eta), where 1 < a, gamma <= 2, 0 <= a, b <= 1, 0 < xi, eta < 1. Some new results on the existence of at least one positive solution are obtained. It is valuable to point out that the nonlinearity f can be singular at t = 0,1 or u = 0.
- 出版日期2010
- 单位湘南学院
