Put forward the locally problem of third order variable coefficient equation of evalution and mean to the function of Riemann that push the wrong formula according to the method in the paper, then use the Riemann method proof the solution s unique.

The upper and lower solution method of nonlocal problem for the first order ordinary differential equation;

The nonlocal problems of semilinear parabolic equations and systems are studied.

The singularly perturbed nonlocal problem (when 0<ε<<1) often Occurs in the model problem of many physical phenomena.

In this paper, we prove an existence theorem of solutions of a kind of nonlinear and non local boundary value problem of wave equations by Galerkin′s method.

In this paper, a parameter disturbing algorithm of neural networks which can overcome the local minima problem of Hopfield network is proposed on the basis of considering the gradient convergence of Hopfield network and the principle of stochastic simulated annealing developed by Kirpatrick.