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61.
Stability of the generalized quadratic and quartic type functional equation in non-Archimedean fuzzy normed spaces 下载免费PDF全文
In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of non-Archimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-Archimedean absolute value of $2$ is less than $1$ cannot be omitted in our corollaries. The results improve and extend some recent results. 相似文献
62.
分析在平行自由流动的非牛顿黏弹性导电流体中,连续平展表面移动时的稳态流和热传递特性,该流动处于横向均匀磁场作用下.以二阶流体构建它的本构方程,得到了速度分布和温度断面图的数值结果.讨论了诸如黏弹性参数、磁场参数和Prandtl数等不同物理参数对诸种动量和热传递特性的影响,并给出相关图示. 相似文献
63.
A new method for exact solutions of variant types of time‐fractional Korteweg‐de Vries equations in shallow water waves 下载免费PDF全文
The current article devoted on the new method for finding the exact solutions of some time‐fractional Korteweg–de Vries (KdV) type equations appearing in shallow water waves. We employ the new method here for time‐fractional equations viz. time‐fractional KdV‐Burgers and KdV‐mKdV equations for finding the exact solutions. We use here the fractional complex transform accompanied by properties of local fractional calculus for reduction of fractional partial differential equations to ordinary differential equations. The obtained results are demonstrated by graphs for the new solutions. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
64.
Jiaolong Chen Peijin Li Swadesh Kumar Sahoo Xiantao Wang 《Israel Journal of Mathematics》2017,220(1):453-478
We first investigate the Lipschitz continuity of (K,K’)-quasiregular C 2 mappings between two Jordan domains with smooth boundaries, satisfying certain partial differential inequalities concerning Laplacian. Then two applications of the obtained result are given: As a direct consequence, we get the Lipschitz continuity of ρ-harmonic (K,K’)-quasiregular mappings, and as the other application, we study the Lipschitz continuity of (K,K’)- quasiconformal self-mappings of the unit disk, which are the solutions of the Poisson equation Δw = g. These results generalize and extend several recently obtained results by Kalaj, Mateljevi? and Pavlovi?. 相似文献
65.
Ratikanta Behera Ashish Kumar Nandi Jajati Keshari Sahoo 《Numerical Linear Algebra with Applications》2020,27(5)
The notion of the Drazin inverse of an even‐order tensors with the Einstein product was introduced, very recently [J. Ji and Y. Wei. Comput. Math. Appl., 75(9), (2018), pp. 3402‐3413]. In this article, we further elaborate this theory by establishing a few characterizations of the Drazin inverse and ‐weighted Drazin inverse of tensors. In addition to these, we compute the Drazin inverse of tensors using different types of generalized inverses and full rank decomposition of tensors. We also address the solution of multilinear systems by using the Drazin inverse and iterative (higher order Gauss‐Seidel) method of tensors. Besides these, the convergence analysis of the iterative technique is also investigated within the framework of the Einstein product. 相似文献
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The 3-dimensional zero-pressure gas dynamics system appears in the modeling for the large scale structure formation in the universe. The aim of this paper is to construct spherically symmetric solutions to the system. The radial component of the velocity and density satisfy a simpler one dimensional problem. First we construct explicit solutions of this one dimensional case with initial and boundary conditions. Then we get special radial solutions with different behaviours at the origin. 相似文献
69.
For distinct points x1,x2,…,xn in ℛ (the reals), letϕ[x1, x2,…,xn] denote the divided difference ofϕ. In this paper, we determine the general solutionϕ,g: ℛ → ℛ of the functional equationϕ[x1,x2,…,xn] =g(x1,+ x2 + … + xn) for distinct x1,x2,…, xn in ℛ without any regularity assumptions on the unknown functions. 相似文献
70.
Ch.?Binek P.?Borisov Xi?Chen A.?Hochstrat S.?Sahoo W.?KleemannEmail author 《The European Physical Journal B - Condensed Matter and Complex Systems》2005,45(2):197-201
Perpendicular exchange bias (PEB) involving perpendicular
magnetic anisotropy (PMA) in both the antiferromagnetic (AF) pinning and the
ferromagnetic (FM) sensor layer is expected to become important in future
perpendicular recording and sensing devices. Further, because of the reduced
spin dimensionality, PEB promises to be easier understandable than the
conventional planar exchange bias (EB). In addition to its first realization
using the Ising-type AF compounds FeF2 and FeCl2 we have tested
control strategies of EB being alternative to the conventional magnetic and
thermal ones. Indeed, specific symmetry properties of the pinning layer have
been shown to enable mechanical (viz. piezomagnetic via FeF2) and electric
control (viz. magneto-electric via Cr2O3) of EB, respectively.
Electric control promises to become relevant for TMR devices in MRAM
technology. 相似文献