Results 21 to 30 of about 4,406,486 (167)

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

On construction of discrete Darboux integrable equations [PDF]

open access: yesarXiv, 2022
The problem of discretization of Darboux integrable equations is considered. Given a Darboux integrable continuous equation, one can obtain a Darboux integrable differential-discrete equation, using the integrals of the continuous equation. In the present paper, the discretization of the differential-discrete equations is done using the corresponding ...
arxiv  

On the Integral Equation Arising in the Biological Model After the Power-3 Closure

open access: yesСовременные информационные технологии и IT-образование, 2019
This article is devoted to the nonlinear integral equation arising in the biological model of Ulf Dieckmann and Richard Low. A brief review of the model of foreign authors Individual-based model is made, the meaning and necessity of introducing spatial ...
Serafim R. Gadzhiev, Alexey A. Nikitin
doaj   +1 more source

On new evolution of Ri’s result via w-distances and the study on the solution for nonlinear integral equations and fractional differential equations

open access: yesAdvances in Difference Equations, 2018
The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of our results.
Hassen Aydi   +2 more
doaj   +1 more source

Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation

open access: yesAdvances in Mathematical Physics, 2022
In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied.
Nimona Ketema Kebeba, Gizaw Debito Haifo
doaj   +1 more source

The Fractional Chapman-Kolmogorov Equation [PDF]

open access: yesModern Physics Letters B 21 (2007) 163-174, 2007
The Chapman-Kolmogorov equation with fractional integrals is derived. An integral of fractional order is considered as an approximation of the integral on fractal. Fractional integrals can be used to describe the fractal media. Using fractional integrals, the fractional generalization of the Chapman-Kolmogorov equation is obtained.
arxiv   +1 more source

On Solutions of a Nonlinear Erdélyi-Kober Integral Equation

open access: yesAbstract and Applied Analysis, 2014
We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev   +2 more
doaj   +1 more source

Research on a High Precision Reservoir Flood Regulating Calculation Based on Solving Integral Equation

open access: yesRenmin Zhujiang, 2020
Reservoir flood regulating calculation can be divided into two methods: solving ordinary differential equation and solving integral equation, of which the method of solving integral equation is more widely used in engineering.
ZHOU Bin
doaj  

On global attractivity of solutions of a functional-integral equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
doaj   +1 more source

Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation

open access: yesAbstract and Applied Analysis, 2014
We consider a nonlinear integral equation which can be interpreted as a generalization of Theodorsen’s nonlinear integral equation. This equation arises in computing the conformal mapping between simply connected regions.
Mohamed M. S. Nasser
doaj   +1 more source

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