Existence results for singular boundary value problem of nonlinear fractional differential equation.
Positive solutions of singular fourth-order boundary-value problems.
Fixed points for discontinuous monotone operators.
Positive solutions for fourth-order singular -Laplacian differential equations with integral boundary conditions.
Existence and uniqueness of solutions for fourth-order boundary-value problems in Banach spaces.
Computation of topological degree in ordered Banach spaces with lattice structure and applications
Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.
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