期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (4)
Recently, various interesting binomial sums involving Catalan numbers have been derived and computed. Inspired from them, several binomial sums involv......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (4)
We study the d-dimensional (d = 2, 3) tropical climate model with only the dissipation of the first baroclinic model of the velocity -eta Delta nu. By......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (2)
A class of third-order nonlinear autonomous differential equations is analyzed and solved. The first integral method suitable for the third-order auto......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (4)
We define the notion of the generalized alternating hyperharmonic numbers, and show that Euler sums of the generalized alternating hyperharmonic numbe......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (4)
Let G be a connected graph of order n. The variation of the Randie index of G is defined as R'(G) = Sigma(uv is an element of E(G)) 1/max{d(u), d(v)},......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (1)
This paper studies the blow-up criteria of strong solutions to the 3-dimensional incompressible micropolar fluid equations with partial viscosities. T......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (4)
We are concerned with the Cauchy problem of the multidimensional inhomogeneous incompressible heat conducting Navier-Stokes flows with fractional diss......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (2)
The main goal of this paper is to study the Poisson universal enveloping algebra of a generalized Poisson-Ore extension. We prove such a Poisson unive......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (2)
We study the well-posedness of the 5-th Korteweg-de Vries (KdV) equation in the space H2+s(0,r) when the initial data is drawn from H2+s(0,r) and the ......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (1)
We introduce the concept of a k-almost Yamabe soliton which extends naturally from Yamabe solitons. Our aim is to study the k-almost Yamabe soliton (g......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (2)
BiHom-Novikov superalgebras are generalized Novikov superalgebras endowed with two commuting multiplicative linear maps. The main purpose of this pape......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (2)
Let A be a unital *-algebra with the unit I. Assume that A contains a nontrivial projection P which satisfies X A P = 0 implies X = 0 and X A.I P / = ......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (1)
We study the fractional p-Laplacian problem with Hardy-Sobolev exponents. We prove: there is a lambda(0) > 0 such that for any lambda is an element......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (2)
We study the compactness of finite sums of products of two Toeplitz operators on Hardy-Sobolev spaces over the unit polydisk H-beta(2)(D-n). We calcul......
期刊： ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021; 51 (1)
We consider numerical methods for solving the modified Cahn-Hilliard equation involving strong nonlinearities. A fast algorithm based on time two-mesh......
