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Several Different Types of Convergence for ND Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society, 2021 The goal of this paper is to build average convergence and almost sure convergence for ND (negatively dependent) sequences of random variables under sublinear expectation space.
Ziwei Liang, Qunying Wu
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Multiple solutions to elliptic equations on $\mathbb{R}^N$ with combined nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equation \begin{equation*} \begin{cases} - \Delta u +V(x)u = -\lambda Q(x)|u|^{q-2}u+ Q(x)f(u),\quad x\in\mathbb{R}^N,\\ u(x)\rightarrow ...
Anran Li, Chongqing Wei
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Existence and nonexistence for singular sublinear problems on exterior domains
Electronic Journal of Differential Equations, 2021 In this article we study the existence of radial solutions of $\Delta u + K(|x|)f(u)= 0$ on the exterior of the ball of radius R>0 centered at the origin in $\mathbb{R}^N$ with u=0 on $\partial B_{R}$, and $\lim_{|x| \to \infty} u(x)=0$ where N>2, $
Mageed Ali, Joseph A. Iaia
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Complete Convergence for END Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society, 2021 In this paper, the complete convergence theorems of partial sums and weighted sums for extended negatively dependent random variables in sublinear expectation spaces have been studied and established.
Qunying Wu
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Discrete Dynamics in Nature and Society, 2021 Using different methods than the probability space, under the condition that the Choquet integral exists, we study the complete convergence theorem for weighted sums of widely acceptable random variables under sublinear expectation space.
Rong Hu, Qunying Wu
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Discrete Dynamics in Nature and Society, 2021 We investigate the complete pth moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space.
Mingzhou Xu, Kun Cheng
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Mathematics, 2023 We investigate the complete convergence for weighted sums of sequences of negative dependence (ND) random variables and p-th moment convergence for weighted sums of sequences of ND random variables under sublinear expectation space.
Peiyu Sun, Dehui Wang, Xili Tan
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Oscillation in second order functional equations with deviating arguments
International Journal of Mathematics and Mathematical Sciences, 1981 For the pair of functional equations (A)(r(t)y′(t))+p(t)h(h(g(t)))=f(t) and (B)(r(t)y′(t))−p(t)h(y(g(t)))=0 sufficient conditions have been found to cause all solutions of equation (A) to be oscillatory.
Bhagat Singh
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Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
Journal of Function Spaces, 2021 In this paper, we study the existence of positive solutions for the following nonlinear second-order third-point semi-positive BVP. We derive an explicit interval of positive parameters, which for any l,μ in this interval, the existence of positive ...
Hua Su, Jinmin Yu
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Double phase problems with supercritical and sublinear growth
Electronic Journal of Qualitative Theory of Differential EquationsIn this work, our objective is to study the operators involving the nonstandard growth via variational methods. We first study a double phase problem having supercritical growth via minimization technique on convex sets. Alongside, the case of competing
Govind Kureel, Pawan Mishra
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