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INTEGRAL_EQUATION: 作品数：231被引量：222H指数：6; 导出分析报告; 相关作者：刘岩李功胜余海涛苏京勋刘继军更多>>; 相关机构：福州大学东南大学北京理工大学黄河水利职业技术学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

Analytical solution for the fracture problem in superconducting tapes with oblique cracks under the electromagnetic force: 《Applied Mathematics and Mechanics(English Edition)》2025年第3期485-500,共16页Jinjian XIE Zhaoxia ZHANG Pengpeng SHI Xiaofan GOU; Project supported by the National Natural Science Foundation of China (Nos. 12232005 and 12072101);the Ningxia Natural Science Foundation of China (No. 2024AAC04004)。; The fracture behavior of superconducting tapes with central and edge oblique cracks subject to electromagnetic forces is investigated. Maxwell's equations and the critical state-Bean model are used to analytically det...; 关键词：superconducting tape electromagnetic body force integral equation distributed dislocation technique(DDT) oblique crack stress intensity factor(SIF)

Existence of Solutions of a Convolution Integral Equation: 《Journal of Applied Mathematics and Physics》2024年第5期1835-1847,共13页Henry Otoo Benjamin Dadzie Mensah Lewis Brew; In this study, we prove the of existence of solutions of a convolution Volterra integral equation in the space of the Lebesgue integrable function on the set of positive real numbers and with the standard norm defined...; 关键词：VOLTERRA Integral Equation CONVOLUTION Fixed Point EXISTENCE Noncompactness

Solvability and Construction of a Solution to the Fredholm Integral Equation of the First Kind: 《Journal of Applied Mathematics and Physics》2024年第2期720-735,共16页Aisagaliev Serikbai Nurmagambetov Dias Sevryugin Ilya; The issues of solvability and construction of a solution of the Fredholm integral equation of the first kind are considered. It is done by immersing the original problem into solving an extremal problem in Hilbert spa...; 关键词：Integral Equations SOLVABILITY Solution Construction CONTROLLABILITY Minimizing Sequences

A generalized ODE susceptible-infectious-susceptible compartmental model with potentially periodic behavior: 《Infectious Disease Modelling》2023年第4期1190-1202,共13页Scott Greenhalgh Anna Dumas; supported by the National Science Foundation Grant DMS-2052592.; Differential equation compartmental models are crucial tools for forecasting and analyzing disease trajectories.Among these models,those dealing with only susceptible and infectious individuals are particularly useful...; 关键词：Infectious period Duration of infection GONORRHEA Integral equations Differential equations

Partial wetting of the soft elastic graded substrate due to elastocapillary deformation: 《Applied Mathematics and Mechanics(English Edition)》2023年第8期1409-1422,共14页Xu WANG Hailiang MA Yonglin YANG Xing LI Yueting ZHOU; supported by the National Natural Science Foundation of China(Nos.12272195,12272269 and 12262033)。; Surface tension plays a central role in the mechanical behavior of soft materials such as gels.Elastocapillary deformation of elastic graded substrates is ubiquitous in soft materials.In this work,the effect of a part...; 关键词：elastocapillary deformation partial wetting GRADIENT integral equation

On Riemann-Type Weighted Fractional Operators and Solutions to Cauchy Problems: 《Computer Modeling in Engineering & Sciences》2023年第7期901-919,共19页Muhammad Samraiz Muhammad Umer Thabet Abdeljawad Saima Naheed Gauhar Rahman Kamal Shah; In this paper,we establish the new forms of Riemann-type fractional integral and derivative operators.The novel fractional integral operator is proved to be bounded in Lebesgue space and some classical fractional inte...; 关键词：Weighted fractional operators weighted laplace transform integro-differential free-electron laser equation kinetic differ-integral equation

Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps: 《Computer Modeling in Engineering & Sciences》2023年第6期2617-2648,共32页Nawab Hussain Saud M.Alsulami Hind Alamri; In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich a...; 关键词：Common fixed points Reich and Chatterjea mappings Krasnoselskii-Ishikawa iteration complete metric space Banach space integral equation nonlinear fractional differential equation

A REMARK ON LARGE TIME ASYMTOTICS FOR SOLUTIONS OF A NONHOMOGENEOUS VISCOUS BURGERS EQUATION: 《Acta Mathematica Scientia》2023年第3期1323-1332,共10页Manas Ranjan SAHOO Satyanarayana ENGU Smriti TIWARI; S.Engu was supported by Council of Scientific and Industrial Research,India (File no. 25 (0302)/19/EMR-Ⅱ)。; The existence, uniqueness and regularity of solutions to the Cauchy problem posed for a nonhomogeneous viscous Burger's equation were shown in Chung, Kim and Slemrod [1] by assuming suitable conditions on initial data...; 关键词：modified Bessel functions integral equation large time asymptotics convolution of functions

Error Analysis of A New Higher Order Boundary Element Method for A Uniform Flow Passing Cylinders: 《China Ocean Engineering》2023年第3期369-377,共9页SUN Shi-yan CUI Jie BAO Chao-ming; financially supported by the National Natural Science Foundation of China (Grant Nos.52271276,52271319,and 52201364);the Natural Science Foundation of Jiangsu Province (Grant No.BK20201006)。; A higher order boundary element method(HOBEM)is presented for inviscid flow passing cylinders in bounded or unbounded domain.The traditional boundary integral equation is established with respect to the velocity poten...; 关键词：higher order boundary element method(HOBEM) error analysis integral equations for potential and velocity cylinders

A New Modified EWMA Control Chart for Monitoring Processes Involving Autocorrelated Data: 《Intelligent Automation & Soft Computing》2023年第4期281-298,共18页Korakoch Silpakob Yupaporn Areepong Saowanit Sukparungsee Rapin Sunthornwat; Thailand Science Research and Innovation Fund,and King Mongkut’s University of Technology North Bangkok Contract no.KMUTNB-FF-65–45.; Control charts are one of the tools in statistical process control widely used for monitoring,measuring,controlling,improving the quality,and detecting problems in processes in variousﬁelds.The average run length(ARL)...; 关键词：Autoregressive process new modiﬁed EWMA average run length(ARL) numerical integral equation(NIE)

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