On a Simple Type of Integro-differential Equation [PDF]
Proceedings of the Edinburgh Mathematical Society, 1935 In a previous paper in these Proceedings the author discussed conditions for a maximum or minimum of functions of integrals of the typeusing the methods of the Calculus of Variations. In the effort to establish a third necessary condition for a minimum—the analogue of Jacobi's condition in the ordinary variational problem—it was found that the analogue
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Convergence analysis of the sinc collocation method for integro-differential equations system [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic ...
Mohammad Zarebnia
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Физика волновых процессов и радиотехнические системы, 2017 Diffraction problem of electromagnetic wave propagation on system of arbitrary located screens and bodies is considered. Uniqueness and solvability theorems are proved.
Yu.G. Smirnov
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Some methods for the solution of non-singular Volterra integro-differential equations [PDF]
, 1968 M. A. Wolfe
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پژوهشهای ریاضی, 2020 The main aim of this paper is to apply the Chebyshev polynomials for the solution of the linear Fredholm integro-differential-difference equation of high orders. It is usually difficult to analytically solve this equation.
Babolian, Fatemeh Chitsaz, Ali Davari
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Bernstein Operational Matrix Approach for Integro-Differential Equation Arising in Control theory
Nonlinear Engineering, 2014 The aim of this paper is to propose an efficient numerical method for solving the integro-differential equations arising in many braches of sciences using Bernstein polynomials.
Irfan Nagma, Kumar Sunil, Kapoor Saurabh
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On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients [PDF]
, 1971 Ivan Hlaváček
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Solutions to systems of partial differential equations with weighted self-reference and heredity
Electronic Journal of Differential Equations, 2012 This article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential ...
Pham Ky Anh +2 more
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Note on a Volterra integro-differential equation system [PDF]
, 1974 Dennis G. Weis
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Approximative solution of a system of integro-differential equations by S. A. Tschaplygin's method [PDF]
, 1970 Svatoslav Staněk
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