In this paper,we establish some Rellich-Pohozaev type identities on the vector fields {Z_1,…,Z_n,Z_(n+1),…,Z_(n+m)} which satisfy Hrmander condition to the Baouendi-Grushin operator,prove the non-existence of solutions to the semi-linear Baouendi-Grushin equation.

In this paper, the nonexistence of global solutions to a semi-linear Kirchhoff equation with dynamic boundary conditions is considered.

This paper discusses the nonexistence of global solutions for Kirchoff plate equations.

Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.

the existence of solution is proved.

The purpose of this paper is to study the existence of solution for the following differen- tial inclusion: x (t)∈F(t,x(t),t∈[0,T],x(0)=x_0.

By the definition of fixed projection operator,the employment of upper and lower solution method,giving defining methods of the existence of solution to multipoint resonance boundary value for dimker L=2,further more generalizing the results of literature.

Existence of Solutions of Nonlinear Two-Point Boundary Value Problems for 4Nth-order Nonlinear Differential Equation;

Then,the theory of ordinary differential equations was employed to discuss a class of initial-value problems of impulsive differential equations with variable times,and some results of existence of solutions to it were established under relatively weaker conditions.

The methods of up-lower solution is used to study the existence of solutions of nonlinear three point boundary value problems for nonlinear 4 nth order differential equation.