2 research outputs found
A discrete fourth-order Lidstone problem with parameters
Various existence, multiplicity, and nonexistence results for nontrivial solutions to a nonlinear
discrete fourth-order Lidstone boundary value problem with dependence on two
parameters are given, using a symmetric Green鈥檚 function approach. An existence result
is also given for a related semipositone problem, thus relaxing the usual assumption of
nonnegativity on the nonlinear term