Results 21 to 30 of about 108,595 (265)

On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the ...
S.N. Askhabov
doaj   +2 more sources

General functional-integral Volterra equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj   +1 more source

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

open access: yesAdvances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah   +3 more
doaj   +1 more source

Two Integral Equations [PDF]

open access: yesProceedings of the National Academy of Sciences, 1945
Not ...
openaire   +3 more sources

INTEGRATION OF PARTIALLY INTEGRABLE EQUATIONS [PDF]

open access: yesWaves and Stability in Continuous Media, 2006
12 p, WASCOM XIII (Acireale, 19-25 June 2005)
openaire   +2 more sources

Solving a nonhomogeneous integral equation with the variable lower limit

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova   +3 more
doaj   +1 more source

Application of DRBEM for 2D sine-Gordon equation

open access: yesJournal of Taibah University for Science, 2021
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj   +1 more source

Families of Integrable Equations [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
Kassotakis, P., Nieszporski, M.
openaire   +3 more sources

On a pseudo-Volterra nonhomogeneous integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova   +3 more
doaj   +1 more source

A Multilevel Iteration Method for Solving a Coupled Integral Equation Model in Image Restoration

open access: yesMathematics, 2020
The problem of out-of-focus image restoration can be modeled as an ill-posed integral equation, which can be regularized as a second kind of equation using the Tikhonov method.
Hongqi Yang, Bing Zhou
doaj   +1 more source

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