Existence and multiplicity of positive solutions of a boundary-value problem for sixth-order ODE with three parameters.
Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional -Laplacian
We consider the boundary value problem involving the one dimensional -Laplacian, and establish the precise intervals of the parameter for the existence and non-existence of solutions with prescribed numbers of zeros. Our argument is based on the shooting method together with the qualitative theory for half-linear differential equations.
Existence of solutions for nonlinear second-order two-point boundary-value problems.
Existence of three anti-periodic solutions for second-order impulsive differential inclusions with two parameters
Applying two three critical points theorems, we prove the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion with a perturbed nonlinearity and two parameters.