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Fredholm-type integral equation in controlled metric-like spaces
In this article we make an improvement in the Banach contraction using a controlled function in controlled metric like spaces, which generalizes many...
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Hyers–Ulam stability of integral equations with infinite delay
Integral equations with infinite delay are considered as functional equations in a Banach space. Two types of Hyers–Ulam stability criteria are...
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Integration of the Loaded KdV Equation with a Self-Consistent Source of Integral Type in the Class of Rapidly Decreasing Complex-Valued Functions
AbstractWe apply the inverse scattering method to integrating the loaded Korteweg–de Vries equation with a self-consistent source of integral type...
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A new integral equation and integrals associated with number theory
We utilize a combination of integral transforms, including the Laplace transform, with some classical results in analytic number theory concerning...
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Characteristic Equations for True and Fictitious Eigenvalues of Muller Boundary Integral Equations
AbstractThe paper is devoted to the mathematical modelling of two-dimensional microcavity lasers. Using the Galerkin method with trigonometric basis,...
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Inverse Problem for a Non-Homogeneous Integro-Differential Equation of the Hyperbolic Type
AbstractThe inverse problem of determining the solution and one-dimensional kernel of the integral term in an inhomogeneous integro-differential...
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On Hyers-Ulam-Rassias Stability of a Volterra-Hammerstein Functional Integral Equation
The aim of this paper is to study the Hyers-Ulam-Rassias stability for a Volterra-Hammerstein functional integral equation in three variables via...
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On the Patch Antennas Radiation Numerical Modeling with Boundary Integral Equation Method
AbstractA mathematical model in which the antenna radiation problem is considered as the scattering problem of the incident field created by the...
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Oscillatory integral operators with homogeneous phase functions
Oscillatory integral operators with 1-homogeneous phase functions satisfying a convexity condition are considered. For these we show the L p – L p -estimat...
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A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem
This paper is concerned with the cavity scattering problem in an infinite thin plate, where the out-of-plane displacement is governed by the...
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Barycentric Lagrange interpolation method for solving Love’s integral equations
In this paper, we present a new simple method for solving two integral equations of Love’s type that have many applications, especially in...
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Reconstructions of the Asymptotics of an Integral Determined by a Hyperbolic Unimodal Singularity
AbstractThe asymptotic behavior of an exponential integral is studied in which the phase function has the form of a special deformation of the germ...
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An Inverse Problem for a Hyperbolic Integro-Differential Equation in a Bounded Domain
AbstractWe consider the inverse problem of finding the kernel of the integral term in an integro-differential equation. The problem of finding the...
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A nonlinear fractional Rayleigh–Stokes equation under nonlocal integral conditions
In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the...
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Certain Properties and Their Volterra Integral Equation Associated with the Second Kind Chebyshev Matrix Polynomials in Two Variables
This paper presents several properties associated with the two-variable extension of the Chebyshev matrix polynomials of the second kind. In...
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Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point
AbstractExplicit solutions of model and nonmodel integral equations of Volterra type with two boundary and one interior singular point are obtained,...
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Least square method based on Haar wavelet to solve multi-dimensional stochastic Itô-Volterra integral equations
This paper proposes a method combining blue the Haar wavelet and the least square to solve the multi-dimensional stochastic Itô-Volterra integral...
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Taylor Series of Biharmonic Poisson Integral for Upper Half-Plane
The fourth-order partial differential equation for the biharmonic Poisson integral is presented in the case of the upper half-plane ( y > 0). To solve...
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Solving System of Abel’s Integral Equations by Using Change of Variable with Orthogonal Polynomials
In this paper, a numerical method called change of variable to solve the Abel integral equations and the system of Abel integral equation is...
