In this paper,the existence of sign-changing solutions to a class of nonlinear second order equation with three-point boundary value problems is discussed.

We study the existence and multiplicity of sign-changing solutions for six-order nonlinear boundary value problems by using fixed point index theory and anti-symmetrical extension method.

We show existence results for multiple sign-changing solution for third-order two- point boundary value problems by using the fixed point index and the topologic degree theory.

An existed abstract result is given,with which we obtained the existence of sign-changing solutions to a class of fourth-order equations boundary value problems.

In this paper,we prove the existence of positive,negative and sign-changing solutions for a nonlinear elliptic eigenvalue problem with constraint on unbounded domain by using variational methods with constraint and by constructing tangent pseudogradient vector field on radial symmetric Sobolev space.

Global existence and blow-up of sign-changing solutions to semilinear parabolic equations;

In this paper,the existence of multiple anti-symmetric sign-changing solutions for a nonlinear third-order three-point boundary value problem is investigated by using Krasnosel skii fixed point theorem and the method of extending positive or negative solution.