# Browsing Journal Articles by Title

Sort by: Order: Results:

• (De Gruyter, 2021-03)
• (Institute of Mathematics and Informatics, 2020-06)
The aim of this paper is to establish singular fractional Adams–Moser–Trudinger inequality for both bounded and unbounded domains in the Heisenberg group We first establish fractional Adams–Moser–Trudinger type inequality ...
• (Elsevier, 2021-05)
• (American Mathematical Society, 2019-05)
In this article, we prove that the Gelfand-Kirillov dimension of the quantized algebra of regular functions on certain homogeneous spaces of types $A$, $C$, and $D$ is equal to the dimension of the homogeneous space as ...
• (The Mathematical Society of the Republic China, 2013-01)
The goal of this paper is to show a generalization to Sturm--Picone theorem for a pair of second-order nonlinear differential equations (p_1(t)x'(t))'+ q_1(t)f_{1}(x(t))=0. (p_2(t)y'(t))'+ q_2(t)f_{2}(y(t))=0, ...
• (Springer, 2021-10)
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third-order mock theta functions ω(q) and ν(q), thereby extending their earlier results with the second author. ...
• (Cambridge University Press, 2019-02)
It is pointed out that the generalized Lambert series studied by Kanemitsu, Tanigawa and Yoshimoto can be found on page 332 of Ramanujan's Lost Notebook in a slightly more general form. We extend an important transformation ...
• (Nagoya University, 2020-09)
• (Elsevier, 2018-03)
A new generalization of the modified Bessel function of the second kind is studied. Elegant series and integral representations, a differential-difference equation and asymptotic expansions are obtained for it thereby ...
• (Elsevier, 2020-03)
Recently Dixit, Kesarwani, and Moll introduced a generalization of the modified Bessel function and showed that it satisfies an elegant theory similar to that of . In this paper, we show that while is an elementary ...
• (Elsevier, 2012-06)
In this note, we show the existence of a global positive solution for a class of first-order delay differential equations: x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0.x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0. Turn MathJax on In this study, ...
• (Cambridge University Press., 2022-02)
A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory ...
• (Elsevier, 2018-06)
In this paper we compute Gröbner bases for determinantal ideals of the form , where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers ...
• (World Scientific Publishing, 2020-10)
• (Springer Verlag, 2018-02)
A network of sensors observes a time-inhomo-geneous Poisson signal and within a fixed time interval has to decide between two hypotheses regarding the signal’s intensity. The paper reveals an interplay between network ...
• (Springer International Publishing, 2016-10)
In this article, a modification of Newton’s method with fifteenth-order convergence is presented. The modification of Newton’s method is based on the method of fifth-order convergence of Hu et al. First, we present theoretical ...
• (Springer, 2021-01)
We recount and discuss some of the most important methods and blow-up criteria for analyzing solutions of Keller-Segel chemotaxis models. First, we discuss the results concerning the global existence, boundedness and blow-up ...
• (Elsevier, 2021-01)
• (Cambridge University Press, 2020-01)
In this article, we establish a Lyapunov-type inequality for the following extremal Pucci’s equation: {M+λ,Λ(D2u)+b(x)|Du|+a(x)u=0u=0in Ω,on ∂Ω, where Ω is a smooth bounded domain in RN , N≥2 . This work generalizes ...
• (Wiley, 2020-12)
We establish Lyapunov?type inequalities for a class of singular elliptic partial differential equations. As an application of Lyapunov?type inequalities, we obtain lower bounds for the first eigenvalue of the associated ...