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Chapter and Conference Paper
Superconvergent Methods Based on Cubic Splines for Solving Linear Integral Equations
In this paper we propose two collocation methods, based on superconvergent cubic spline interpolant and quasi-interpolant, for approximating the solution of the second kind Fredholm integral equations. Converg...
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Article
On the Solvability of a Nonlinear Integro-Differential Equation on the Half-Axis
In this work, we combine the iterative techniques with fixed point theory to investigate the existence of absolutely continuous solutions to a class of nonlinear integro-differential equations. Existence resul...
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Article
Existence and Uniqueness of the Solution for some Double Delay Integral Equations
In this paper, we investigate, according to the behavior of the data functions, the existence and the uniqueness of measurable solution, exponentially order solution, bounded solution and integrable solution o...
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Article
On the existence of integrable solutions for a nonlinear quadratic integral equation
In this paper, we investigate the existence of integrable solution to a nonlinear integral equation, which includes many important integral and functional equations that arise in nonlinear analysis and its app...
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Article
A Taylor collocation method for solving delay integral equations
A numerical method based on the use of Taylor polynomials is proposed to construct a collocation solution $u\in S_{m-1}^{(-1)}(\Pi _{N...
