Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
The authors study the multiplicity of the solutions for the following equation \[ u^{\prime\prime} + f(t,u,u^\prime) = 0,\quad t\in(0,1), \] with the three-point boundary value problem \[ u(0) = 0,\quad u(1) = \xi u(\eta). \] Using the method of upper and lower solutions and Leray-Schauder degree theory, they prove that there are at least three solutions.
scientific article; zbMATH DE number 2168137
scientific article