Results 21 to 30 of about 62,013 (161)
TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS
Background. The work is devoted to the study of sets of functions in which the condition for the unique solvability of degenerate singular integral equations is satisfied.
I. V. Boykov +2 more
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INTEGRATION OF PARTIALLY INTEGRABLE EQUATIONS [PDF]
12 p, WASCOM XIII (Acireale, 19-25 June 2005)
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Integral Equations of Non-Integer Orders and Discrete Maps with Memory
In this paper, we use integral equations of non-integer orders to derive discrete maps with memory. Note that discrete maps with memory were not previously derived from fractional integral equations of non-integer orders.
Vasily E. Tarasov
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Embedding Stieltjes-Volterra integral equations in Stieltjes integral equations [PDF]
J. A. Reneke has shown that the linear Stieltjes-Volterra integral equations studied by D. B. Hinton can be transformed into Stieltjes integral equations of the type studied by J. S. Mac Nerney. By taking advantage of the nonlinear nature of Mac Nerney’s results, Reneke was able to extend Hinton’s existence theorem to a nonlinear setting. In this paper,
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Erdélyi and Sneddon (4) have reduced the dual integral equations (4, (1.4))where Ψ is unknown, to a single Fredholm integral equation (4, (4.4)), from the solution of which Ψ is explicitly obtainable. Their work extended and clarified an investigation by Cooke (1), placing it in a context of standard integral transforms.
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The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah +2 more
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One of the key tools for many fields of applied mathematics is the integral equations. Integral equations are widely utilized in many models, atmosphere–ocean dynamics, fluid mechanics, mathematical physics, and many other physical and engineering ...
Heba M. Arafa, Mohamed A. Ramadan
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The author discusses the adsorption integral equation which describes the relationship between the measured adsorption isotherm and the unknown energy distribution function. Firstly he reduces the equation to the Langmuir integral equation, then shows that under rather general assumption the equation can be solved in an analytical form.
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In this letter, a Quasi‐Helmholtz Projector method including multibranch Rao‐Wilton‐Glisson (MB‐RWG) basis function to calculate the scattering problem of multiscale targets at low frequencies is proposed.
Yu Wang, Xiaojie Dang, Ming‐da Zhu
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Solving linear Fredholm fuzzy integral equations of the second kind by artificial neural networks
This paper deals with the solutions of fuzzy Fredholm integral equations using neural networks. Based on the parametric form of a fuzzy number, a Fredholm fuzzy integral equation converts to two systems of integral equations of the second kind in the ...
Hadi Hosseini Fadravi +2 more
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