The exact form of the exterior problem for plane elasticity problems was produced and fully proved by the variational principle.

Existence of solution of boundary value problems with p-Laplace operator;

Existence of three positive solutions in boundary value problems of a class of second order ordinary differential systems;

Solutions to m-point boundary value problems of higher order ODES at resonance;

Existence of convex solutions for boundary-value problem of dynamic equations on time scales;

Multiple solution of some boundary-value problems of n-order difference equation;

Numerical solution of second order singular-perturbed boundary-value problems;

Methods and particulars for solving boundary problem of electromagnetic field;

By solving the one type boundary problems of partial equation, the computing formulae for stress fields of mode I, mode Ⅱ and mixed mode crack tips were derived.

This turns the second-class boundary problem into a first class one and, makes the solving process much easy.

On the existence of solutions of boundary value problems for fourth-orderdifferential equations;

Existence of solution for nonlinear two-point boundary value problems with one-dimensional p-Laplacian operator;

Virtual boundary element least square method for solving boundary value problems of elliptic partial differential equations;

Similar boundary-value problems are associated with expected first-exit times of the membrane potential in models of nerve.

the examples, the boundary-value problems of the plate are solved by applying the Navier-equation s solutions and their closed-form solutions are obtained.

A method of minimization to a class of boundary-value problems of differential equations with convolution is given by using potential operator defined in a real Banach space, separating coupled variable; the transformed minimum principle on Laplace transformation and the weighted minimum principle in original place-time domain are established.