In this paper the Donnell-type shell theory is extended to include the transverse shear forthe analysis of a anti-symmetric angle-ply imperfect cylindrical shell with mixed boundary conditions.

A coupled boundary condition.

To deal with self-adjoint Sturm-Liouville problems with coupled boundary conditions.

Based on the relations about left-definite problems and right-definite problems,and the method of the eigenvalue curve,some conclusions of left-definite coupled boundary condition are obtained.

Galerkin Method for a Class of Quasi-Linear Parabolic Equation with Mixed Boundary Conditions and Its the H~1-Error Estimate;

We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.

Using the nonlinear analysis methods and technique,study the global existence for the m component semilinear reaction diffusion systems with mixed boundary conditions.

For a Sturm-Liouville equation with positive leading coefficient function,using some limits on the space of self-adjoint boundary conditions,analytic loop of space of self-adjoint boundary conditions and monotonicity of continuous eigenvalue branch,we give a new proof of the eigenvalue inequalities for coupled boundary conditions and those for separated boundary conditions established.