The second author is supported by the Science and Engineering Research Board(SERB)of India(MTR/2020/000534).
The intention of this paper is to study new additive kind multi-dimensional functional equations inspired by several applications of difference equations in biology,control theory,economics,and computer science,as wel...
Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with...
In this paper,we establish a new multivariate Hermite sampling series involving samples from the function itself and its mixed and non-mixed partial derivatives of arbitrary order.This multivariate form of Hermite sam...
By using the MD approach, this study aims at making a comparison between the lexical features in W. J. F. Jenner’s and Wang Yitong’s translations of Luoyang Jialan Ji (547 AD) from a multidimensional perspective. St...
This paper is part of a study supported by the Scientific Research Project(5159 ID)at Yildiz Technical University,Turkey.
This study develops a holistic approach that underlines the effect of spatial,behavioral,and perceptional dimensions on walkability at the neighborhood scale.The study recognizes quantitatively measured tangible facto...
supported by the National Key R&D Program of China(Project Number 2020YFA0712000);Moreover,D.Ling would like to acknowledge support by the National Natural Science Foundation of China(Grant No.12101486);the China Postdoctoral Science Foundation(Grant No.2020M683446);the High-performance Computing Platform at Xi’an Jiaotong University,H.Z.Tang would like to acknowledge support by the National Natural Science Foundation of China(Grant No.12171227&12288101).
This paper develops the genuinely multidimensional HLL Riemann solver for the two-dimensional special relativistic hydrodynamic equations on Cartesian meshes and studies its physical-constraint-preserving(PCP)property...
Metasurfaces,known as arrays of subwavelength antennas,provide a wide range of options for controlling electromagnetic waves and effectively reducing the size and complexity of electromagnetic devices.Metasurfaces can...
supported by the Natural Science Foundation of Shandong Province(Grant Nos.ZR2022MA079,ZR2021MG049);the National Social Science Funding of China(Grant No.21CJY027).
The representation theorem and the viability property for backward stochastic differential equations(BSDEs)require further exploration,given their widespread use in both theory and practical applications.In this study...
supported by the Scientific Research Fund of Zhejiang Provincial Education Department(Grant No.Y202147669);the Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ23A010006)。
In this paper,it is shown that for a residual set of points in a totally minimal system with finitely many commuting homeomorphisms,the set of return times to any non-empty open set contains a subset with positive mul...
Supported by the National Natural Science Foundation of China(Grant No.12071043);the National Key Research and Development Program of China(Grant No.2020YFA0712900)。
We establish the global well-posedness for the multidimensional chemotaxis model with some classes of large initial data,especially the case when the rate of variation of ln v0(v0 is the chemical concentration)contain...