Results 51 to 60 of about 307 (168)

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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On solving a singular Volterra integral equation

Filomat
In the paper, a general solution of the singular Volterra integral equation of the second kind is found. The feature of the considered integral equation lies in the fact that the integral of its kernel does not tend to zero as the upper limit approaches the lower one, thus making the Picard method inapplicable.
Murat Ramazanov, Nurtay Kudaybergenovich Gulmanov, Madi Tulegenovich Omarov   +2 more
openaire   +1 more source

Positive solutions of Volterra integral equations using integral inequalities

Journal of Inequalities and Applications, 2002
The existence of positive solutions of certain special cases of the possibly singular Volterra integral equation is discussed, using Krasnoselskii's fixed point theorem.
O'regan Donal, Meehan Maria
doaj  

Singular optimal control of stochastic Volterra integral equations

, 2019
This paper deals with optimal combined singular and regular controls for stochastic Volterra integral equations, where the solution X^{u, }(t)=X(t) is given by X(t) = (t)+\int_{0}^{t}}b(t,s,X(s),u(s)) ds+\int_{0}^{t} (t,s,X(s),u(s))dB(s) +\int _{0}^{t}\int_{0}^{t}h(t,s) d (s).
Agram, Nacira, Labed, Saloua, Øksendal, Bernt, Yakhlef, Samia   +3 more
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Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing

Journal of Applied Mathematics and Physics, 2021
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 (PNM) to solve the H-VIE with singular logarithmic kernel are used. The absolute error is calculated.
openaire   +2 more sources

Identification of a time-dependent source term in a nonlocal problem for time fractional diffusion equation

Mathematical Modelling and Analysis
This paper is concerned with the inverse problem of recovering the time dependent source term in a time fractional diffusion equation, in the case of nonlocal boundary condition and integral overdetermination condition.
Mansur I. Ismailov, Muhammed Çiçek
doaj   +1 more source

Tau approximate solution of weakly singular Volterra integral equations

Mathematical and Computer Modelling, 2013
Abstract In this paper, we present a numerical solution of weakly singular Volterra integral equations including the Abel’s equations by the Tau method with arbitrary polynomial bases. The Tau method produces approximate polynomial solutions of differential, integral and integro-differential equations. An extension of the Tau method has been done for
Karimi Vanani, S., Soleymani, F.
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On an integral equation of the Dirichlet problem for the heat equation in the degenerating domain

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper considers the first boundary value problem of heat conduction in a degenerating domain with a moving boundary, the boundary of the domain moves at a variable velocity.
M.T. Kosmakova
doaj  

Fast numerical solution of weakly singular Volterra integral equations

Journal of Computational and Applied Mathematics, 1988
The authors present an algorithm for the solution of nonlinear, weakly singular Volterra integral equations of the form \[ y(t)=f(t)+1/\sqrt{\pi}\int^{t}_{0}(t-s)^{-1/2}k(t-s)g(s,y(s))ds, \] whose solution is assumed to be a smooth function of \(\sqrt{t}\).
Hairer, Ernst, Lubich, Christian, Schlichte, Manfred   +2 more
openaire   +2 more sources

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +1 more source