Results 1 to 10 of about 25,504 (231)

On the Volterra property of a boundary problem with integral gluing condition for mixed parabolic-hyperbolic equation [PDF]

open access: gold, 2013
In the present work we consider a boundary value problem with gluing conditions of integral form for parabolic-hyperbolic type equation. We prove that the considered problem has the Volterra property.
Akhtaeva, N. S.   +3 more
core   +5 more sources

Solving one pseudo-Volterra integral equation

open access: diamondҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova   +4 more
doaj   +2 more sources

Fredholm-Volterra integral equation with potential kernel [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
doaj   +4 more sources

Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov   +2 more
doaj   +2 more sources

Volterra–Stieltjes integral equations and impulsive Volterra–Stieltjes integral equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
Summary: In this paper, we prove existence and uniqueness of solutions of Volterra-Stieltjes integral equations using the Henstock-Kurzweil integral. Also, we prove that these equations encompass impulsive Volterra-Stieltjes integral equations and prove the existence and uniqueness for these equations.
Edgardo Alvarez   +3 more
openaire   +3 more sources

Existence and uniqueness of solutions for the stochastic Volterra-Levin equation with variable delays

open access: yesOpen Mathematics, 2022
The Picard iteration method is used to study the existence and uniqueness of solutions for the stochastic Volterra-Levin equation with variable delays. Several sufficient conditions are specified to ensure that the equation has a unique solution.
Jin Shoubo
doaj   +1 more source

Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method

open access: yesDemonstratio Mathematica, 2021
The purpose of the paper is to find an approximate solution of the two-dimensional nonlinear fuzzy Volterra integral equation, as homotopy analysis method (HAM) is applied.
Georgieva Atanaska
doaj   +1 more source

Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method

open access: yesAdvances in Difference Equations, 2020
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
doaj   +1 more source

Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]

open access: yesMathematics and Computational Sciences, 2020
In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
doaj   +1 more source

Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

open access: yesFractal and Fractional, 2020
The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
doaj   +1 more source

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