Displaying similar documents to “Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities.”

Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension p -Laplacian

Daqing Jiang, Li Li Zhang, Donal O'Regan, Ravi P. Agarwal (2004)

Archivum Mathematicum

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In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem Δ [ φ ( Δ u ( t - 1 ) ) ] + q ( t ) f ( t , u ( t ) ) = 0 , t ∈ { 1 , 2 , ⋯ , T } u ( 0 ) = u ( T + 1 ) = 0 , where φ ( s ) = | s | p - 2 s , p > 1 and our nonlinear term f ( t , u ) may be singular at u = 0 .

Multiple positive solutions to singular boundary value problems for superlinear second order FDEs

Daqing Jiang (2000)

Annales Polonici Mathematici

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We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.

A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity

Qingliu Yao (2013)

Annales Polonici Mathematici

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We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.