Abstract In this paper, we tame the uncertainty about volatility in time-averaging principle for stochastic differential equations driven by G-Brownian motion (G-SDEs) based on Lyapunov condition. That means treat condition presence of a family probability measures, each corresponding to different scenario volatility. The main tool mathematical analysis is G-stochastic calculus, which introduce...

All graphs considered in this paper are finite, loopless, and without multiple edges. The notation and terminology used but undefined in this paper can be found in [2]. Let G be a graph with the vertex set V (G) and the edge set E(G). For a vertex x ∈ V (G), we use dG(x) and NG(x) to denote the degree and the neighborhood of x in G, respectively. Let δ(G) denote the minimum degree of G. For any...

In this paper, we compute two anisotropic static spherical solutions for compact stellar candidates in the background of f(G,T) gravity using minimal geometric decoupling technique. The internal structure becomes when an additional sector is added to isotropic system. With method, radial component distorted establish sets field equations that represent perfect and sources. We use Karmarkar cond...

A necessary and sufficient condition is found for a graph G, which satisfies the equality μ21(G) = |V (G)|.

Let $G$ be a connected graph of order $n$ and minimum degree $delta(G)$.The edge-connectivity $lambda(G)$ of $G$ is the minimum numberof edges whose removal renders $G$ disconnected. It is well-known that$lambda(G) leq delta(G)$,and if $lambda(G)=delta(G)$, then$G$ is said to be maximally edge-connected. A classical resultby Chartrand gives the sufficient condition $delta(G) geq frac{n-1}{2}$fo...

it is proved here that if $g$ is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then $g$ is either locally supersoluble or a vcernikov group. the same conclusion holds for locally finite groups satisfying the weak minimal condition on non-(locally supersoluble) subgroups. as a consequence, it is shown that any infinite locally graded gro...