In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
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Rough surface backscatter and statistics via extended parabolic integral equation [PDF]
This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
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Numerical and analytic method for solvingproposal New Type for fuzzy nonlinear volterra integral equation [PDF]
In this paper, we proved the existence and uniqueness and convergence of the solution of new type for nonlinear fuzzy volterra integral equation . The homotopy analysis method are proposed to solve the new type fuzzy nonlinear Volterra integral equation .
Hasan, Sameer Qasim+1 more
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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type
The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0,∞ and having a finite ...
Nurgali K. Ashirbayev+2 more
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Inverse problem for a nonlinear partial differential equation of the eighth order
We study the questions of solvability of the inverse problem for a nonlinear partial differential equation of the eighth order, left-hand side of which is the superposition of pseudoparabolic and pseudohyperbolic operators of the fourth order.
Tursun K Yuldashev
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SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov+1 more
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On the stability of the boundary element collocation method applied to the linear heat equation [PDF]
The boundary element method (boundary integral equation method) is considered for the Dirichlet problem of the heat equation. The method of collocations on the boundary using finite-element basis is applied to the discretization of the Volterra integral ...
Iso, Yuusuke, Onishi, Kazuei
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On a Fredholm-Volterra integral equation [PDF]
"In this paper we give conditions in which the integral equation $$x(t)=\displaystyle\int_a^c K(t,s,x(s))ds+\int_a^t H(t,s,x(s))ds+g(t),\ t\in [a,b],$$ where $a<c<b$, $K\in C([a,b]\times [a,c]\times \mathbb{B},\mathbb{B})$, $H\in C([a,b]\times [a,b]\times \mathbb{B},\mathbb{B})$, $g\in C([a,b],\mathbb{B})$, with $\mathbb{B}$ a (real or complex ...
Ioan A. Rus, Alexandru-Darius Filip
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A Study of Some Iterative Methods for Solving Fuzzy Volterra-Fredholm Integral Equations [PDF]
This paper mainly focuses on the recent advances in the some approximated methods for solving fuzzy Volterra-Fredholm integral equations, namely, Adomian decomposition method, variational iteration method and homotopy analysis method.
Azeez, Ali Dhurgham+2 more
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On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation
We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
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