In this paper, we establish first a vector integro-differential inequality. Then by using the intequlity and the variation of constants formula to obtain some s
This paper provides a functional equation astisfied by the generating function for enumerating rooted loopless planar maps with vertex partition. A kind of appl
In this paper, a new proof of D’Alembert formula for Cauchy problems of wave equation is proposed. And some D’Alembert-type formulas for Cauchy problem with d
In this paper for the life of sphere roller, we derive its limit behavior and by simulation present empirical formulas of its mean, variance and distribution.