INTEGRAL_EQUATION

作品数:231被引量:222H指数:6
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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 
Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing
《Journal of Applied Mathematics and Physics》2021年第2期379-390,共12页A. M. Al-Bugami 
In this paper, the existence and uniqueness of solution of singular Hammerstein-Volterra integral equation (H-VIE) are considered. Toeplitz matrix (TMM) and product Nystrom method (
关键词:Integral Equation HAMMERSTEIN Logarithmic Kernel 
Numerical Simulation for Fredholm Integral Equation of the Second Kind
《Journal of Applied Mathematics and Physics》2020年第11期2438-2446,共9页Peng Guo 
This work mainly focuses on the numerical simulation of the Fredholm integral equation of the second kind. Applying the idea of Gauss-Lobatto quadrature formula, a numerical method is developed. For the integral item,...
关键词:Integral Equation FREDHOLM Gauss-Lobatto Numerical Method 
Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments
《Journal of Applied Mathematics and Physics》2020年第8期1606-1614,共9页Maria B. Pintarelli 
It will be shown that finding solutions from the Poisson and Klein-Gordon equations under Neumann conditions are equivalent to solving an integral equation, which can be treated as a generalized two-dimensional moment...
关键词:Equation in Poisson Partial Derivatives Klein-Gordon Equation Integral Equations Generalized Moment Problem 
Some New Applications of Elzaki Transform for Solution of Linear Volterra Type Integral Equations被引量:1
《Journal of Applied Mathematics and Physics》2019年第8期1877-1892,共16页Saad Sharjeel Mushtaq Ahmed Khan Barakzai 
Volterra type integral equations have diverse applications in scientific and other fields. Modelling physical phenomena by employing integral equations is not a new concept. Similarly, extensive research is underway t...
关键词:Elzaki TRANSFORM LINEAR VOLTERRA Integral Equation Adomian Decomposition METHOD METHOD of Successive Approximation Laplace Elzaki DUALITY (LED) 
Integral Equations in Neutrino Mass Searches from Beta Decay
《Journal of Applied Mathematics and Physics》2019年第1期31-45,共15页Thomas M. Semkow Xin Li 
A new mathematical model for elucidating neutrino mass from beta decay is proposed. It is based upon the solutions of transformed Fredholm and Abel integral equations. In principle, theoretical beta-particle spectra c...
关键词:FREDHOLM EQUATION ABEL EQUATION Heaviside Function HEAVY NEUTRINO 
Random Integral Equation of the Volterra Type with Applications
《Journal of Applied Mathematics and Physics》2014年第5期138-149,共12页Hamdin Ahmed Alafif 
In this paper we shall present some of the most general results which have been obtained to date concerning random integral equations of the Volterra type. Some results of Tsokos [4] are given for the random integral ...
关键词:VOLTERRA Integral BANACH Space Asymptotic Stability Poincare-Lyapunov TELEPHONE Traffic Theory 
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