integral equations
Solutions of singular integral equations
... SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS RINA LING Department of Mathematics, California State University Los Angeles, California Received August 7, 1980.. Qualitative behavior of soluti[r] ...
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Convergence estimates for solution of integral equations with GMRES
... Fredholm integral equations [3], [2], [13], el- liptic partial dierential equations which are preconditioned by solvers for high order terms [9], [8], [20], [7], [6], radiative transport problems ...
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Computation of the Eigenvalues of 3D “Charged” Integral Equations
... Fredholm integral equations, i.e. Fredholm equations with respect to a Stieltjes measure obtained by adding to the ordinary Lebesgue measure a finite combination of positive masses concentrated in ...
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Existence and approximate solutions of nonlinear integral equations
... We investigate the existence of continuous solutions on compact intervals of some non- linear integral equations. The existence of such solutions is based on some well-known fixed point theorems in Banach ...
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On the Covariant Representation of Integral Equations of the Electromagnetic Field
... in integral equations (9) and (28), obtained from the three-dimensional and four- dimensional Kelvin-Stokes theorems, respectively, the electromotive force arises only due to changing over time of the ...
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A Regularization of Fredholm type singular integral equations
... Now as it is clear, the integral term on the right-hand side of (1.1) is at most weakly singular. Using this regularized formula we are going to solve some important first and second kind Fredholm’s integral ...
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Dual integral equations—revisited
... Dual integral equations with trigonometric kernel are reinvestigated here for a ...dual integral equations. The solution of the dual integral equations is then applied to find an ...
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Cordial Volterra Integral Equations with Vanishing Delays*
... Volterra integral equations with vanishing delay (VIEwND) are in- itially studied in [6] and a special form of VIEwND, proportional delay differen- tial equations, is widely used in practical ...
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Approximate Solution of the Volterra Random Integral Equations
... random integral equation and same time it can be used to solve linear and non linear random integral ...random integral equation (1) and by dividing the interval of integration (0,t) in to N-equal ...
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On Solutions of a System of Wiener-Hopf Integral Equations
... Volterra-Fredholm integral equations in terms of Taylor ...Volterra integral equations of the first kind with highly oscillatory Bessel ...Volterra integral equations of the ...
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Nontrivial solutions of Hammerstein integral equations with reflections
... where the kernel k is allowed to be not of constant sign. In order to do this, we extend the results of [, ], valid for Hammerstein integral equations without reflections, to the new context. We make use ...
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Approximate Methods for Local Fractional Integral Equations
... An integral equation is defined as an equation in which the unknown function to be determined appear under the integral ...of integral equations is one of the most useful mathematical tools in ...
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Fixed points of monotone mappings and application to integral equations
... In this work, we discuss the existence of fixed points of monotone nonexpansive mappings defined on partially ordered Banach spaces. This work is a continuity of the previous works of Ran and Reurings, Nieto et al., and ...
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Convergence of approximate solution of delay Volterra integral equations
... In the present section, we state the solvability of integral equations with vanishing delay. The following theorem generalizes Volterras 1897 classical result on the existence and uniqueness of solutions ...
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Solving singular integral equations by using orthogonal polynomials
... The Chebyshev polynomial is like a fine jewel that reveals different characteristics un- der illumination from varying positions [16]. There are many applications of Chebyshev polynomials, specially in solving differential ...
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Existence of Solution to Fractional Order Integral Equations.
... and integral equations The theory of integral equations of fractional order has recently received a lot of attention and constitutes a significant branch of nonlinear ...and integral ...
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Integral equations of the first kind of Sonine type
... gral equation of the first kind with power-logarithmic kernel were first stud- ied in [10], see also [11]; closed form solvability of power-logarithmic integral equations of the first kind of more general form ...
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Solving linear integral equations with Fibonacci polynomials
... kind with smooth or weakly singular kernels where the au- thors transform integral equation to linear differential equation [5]. The application of the four Chebyshev polynomials, Leg- endre wavelets, Bernoulli ...
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A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS
... The method is a powerful procedure for solving linear integral equations. The examples given in this work illustrate the ability and reliability of the method. It is simple and effective in treating such ...
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On quadruple integral equations involving trigonometric kernels
... Dual, Triple, Quadruple, and higher order integral equations arise in punch and crack problems in the linear theory of Elasticity and the solution of dual integral equations goes back to[r] ...
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