Using the method of blow up lower and upper solutions, the existence and boundary behavior of positive boundary blow up solutions for some elliptic systems of competitive type with singular weight functions are obtained, here the singular weight functions are permitted to be bounded in some parts of the boundary, and to go to infinity or even oscillate in other parts.

Using program of singular function to calculate internal forces of bending pole;

There is a mistake about singular function calculation in the book of "Electric Circuit",which is widely used as the textbook by many colleges.

By means of singular functions, the equations of moment, torque and bending section modulus are given and the general expressions are derived for calculating the torsional stress, angle and deflection of the shaft under complex loads.

Method of establishing the deflection curve of a beam by singularity functions;

Study of the elastic mechanics problem in narrow rectanglar girder by the singularity function;

Based on the improved story analysis model that is used to be widespread, the author sets up a new model with rigid-suspended-joints in core-tube suspended structure, and deduces flank-displacement rigidity matrix used singularity function.

First, introduces a new application of odd function method in the plasticity limit analysis.