Results 1 to 10 of about 5,289 (145)

Non-homogeneous impulsive time fractional heat conduction equation

Journal of Numerical Analysis and Approximation Theory, 2023
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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On an Integral Equation with the Riemann Function Kernel

Axioms, 2022
This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
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Approximate methods for solving degenerate singular integral equations

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. Singular integral equations in degenerate cases describe many processes in natural science and technology. The theory of these equations has been studied quite well, but as far as the authors know, there are currently no analytical methods ...
Il'ya V. Boykov, Anastasiya A. Pivkina
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Singular Volterra integral equations

Applied Mathematics Letters, 2000
The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The work is devoted to the study of sets of functions in which the condition for the unique solvability of degenerate singular integral equations is satisfied.
I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva   +2 more
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Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

Journal of Inequalities and Applications, 2017
The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
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AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva   +2 more
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H-polarized plane wave scattering by graphene strip grating on top of a dielectric substrate

Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2022
Relevance. Graphene is relatively new material which properties can be controlled dynamically under external influence by applying electrostatic or magnetostatic field. Also graphene can absorb electromagnetic field. Graphene strips with substrate can be
M.E. Kaliberda, S. A. Pogarsky
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Numerical solution of integral equations with finite part integrals

International Journal of Mathematics and Mathematical Sciences, 1999
We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
Samir A. Ashour
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Supplementing the numerical solution of singular/hypersingular integral equations/inequalities with parametric inequality constraints with applications to crack problems

Computer Assisted Methods in Engineering and Science, 2017
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
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