Misra, Snehajit
Published in
Indian Journal of Pure and Applied Mathematics

Let π : X = ℙC(E) → C be a ruled surface over an algebraically closed field k of characteristic 0, with a fixed polarization L on X. In this paper, we show that pullback of a (semi)stable Higgs bundle on C under π is a L-(semi)stable Higgs bundle. Conversely, if (V, θ) is a L-(semi)stable Higgs bundle on X with c1(V) = π* (d) for some divisor d of ...

Esmaeeli, Neda Sajadi, Farkhondeh Alsadat
Published in
Indian Journal of Pure and Applied Mathematics

We consider a model of the spread of rumour among sceptical individuals. Let X0, X1,… be a {0, 1}-valued Markov chain and ρ0, ρ1, … a sequence of i.i.d. ℕ valued random variables independent of the Markov chain. An individual located at site i ∈ ℕ*:= ℕ ∪ {0} spreads the rumour to the individuals located in the interval [i, i + ρi] provided (i) Xi =...

Zhan, Qingyi Zhang, Zhifang Li, Yuhong
Published in
Indian Journal of Pure and Applied Mathematics

This paper focuses on the numerical implementation methods of shadowing theorem of stochastic differential equations. A general shadowing theorem of stochastic differential equations is given, and an explicit bound for shadowing distance is investigated. The main part is numerical implementation methods for shadowing distance in details. Numerical ...

Nishizawa, Yusuke
Published in
Indian Journal of Pure and Applied Mathematics

The author in [7] conjectured the following inequality; If a and b are nonnegative real numbers with a + b = 1/2, then the inequality 1/2 ≤ a(2b)k+ b(2a)k ≤ 1 holds for 0 ≤ k ≤ 1. In this paper, we shall prove the conjecture affirmatively and give the upper and lower estimation of the power exponential functions ab + ba for the nonnegative real num...

Saoudi, Ahmed
Published in
Indian Journal of Pure and Applied Mathematics

The Weinstein operator has several applications in pure and applied Mathematics especially in Fluid Mechanics and satisfies some uncertainty principles similar to the Euclidean Fourier transform. The aim of this paper is establish a generalization of uncertainty principles for Weinstein transform in Lαp-norm. Firstly, we extend the Heisenberg-Pauli...

Mansuroğlu, Nil
Published in
Indian Journal of Pure and Applied Mathematics

The main goal of this study is to introduce the description of soft Leibniz subalgebras (respectively soft Leibniz ideals) and to state some properties. Moreover, in this note, we investigate the concept of soft intersection Leibniz subalgebras (respectively soft intersection Leibniz ideals).

Wang, Wen-Li Tian, Jing-Feng Cheung, Wing-Sum
Published in
Indian Journal of Pure and Applied Mathematics

This paper focuses on two-point boundary value problem for first order causal difference equations. We will start with two new comparison theorems. Then, by utilizing these theorems and fixed point theorems, we obtain the existence of solutions for the corresponding linear problem. By applying monotone iterative technique, sufficient conditions for...

Fan, Qingzhai Yang, Jun
Published in
Indian Journal of Pure and Applied Mathematics

We show that the following properties of C* -algebras in a class Ω are inherited by simple unital C*-algebras in class TAΩ: (1) m-comparison of positive elements, (2) strong tracial m-comparison of positive elements, and (3) tracial nuclear dimension at most m. As an application, every unital simple C*-algebra with tracial topological rank at most ...

Wang, Wenhua Liu, Xiong Wang, Aiting Li, Baode
Published in
Indian Journal of Pure and Applied Mathematics

Let A be an expansive dilation on ℝn, and p(·): ℝn → (0, ∞) be a variable exponent function satisfying the globally log-Holder continuous condition. Let HAp(⋅)(ℝn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlengt...

Shahrouzi, Mohammad
Published in
Indian Journal of Pure and Applied Mathematics

The aim of this work is to study the blow-up result for a Lamé system of viscoelastic equation with variable-exponent nonlinearities and strong damping. Under some suitable conditions on the coefficients, memory term and initial data, we proved a global nonexistence result for the weak solution with positive initial energy.