In this paper, we study the Cauchy problem for the modified Camassa-Holm equation mt + umx + 2ux m = 0, m =(1- δ2x)2u,u(x, 0) = u0(x) ∈ Hs(R), x ∈ R, t > 0,a
It has been known that determining the exact value of vertex distinguishing edge index χ's (G) of a graph G is difficult, even for simple classes of graphs
In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discre
The existence and multiplicity of positive solutions are studied for a class of quasilinear elliptic equations involving Sobolev critical exponents with mixed D
A stochastic logistic model with delays and impulsive perturbation is proposed and investigated. Sufficient conditions for extinction are established as well as
An analytic function f in the unit disk D := {z ∈ C : |z| < 1}, standardly normalized, is called close-to-convex with respect to the Koebe function k(z) := z/(