Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited [PDF]
, 2008 The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity.
Alvarez +19 more
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On a method for investigation of random oscillations of the linear visco-elastic system
Vietnam Journal of Mechanics, 1979 The paper deals with the method for investigation of the random excited integro-differential equations, appeared frequently in the theory of the visco-elastic system.
Nguyen Tien Khiem, Nguyen Dong Anh
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Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic equation, which can be solved ...
Y. Barazandeh
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2012 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Buchberger, Bruno +3 more
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Regularity theory for fully nonlinear integro-differential equations [PDF]
, 2008 We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
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Conservation laws of some lattice equations [PDF]
Front. Math. China, 8(5) (2013) 1001-16, 2012 We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian ...
arxiv +1 more source
Numerical ansatz for solving integro-differential equations with increasingly smooth memory kernels: spin-boson model and beyond [PDF]
, 2007 We present an efficient and stable numerical ansatz for solving a class of integro-differential equations. We define the class as integro-differential equations with increasingly smooth memory kernels.
Zwolak, Michael
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations
Discrete Dynamics in Nature and Society, 2021 Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
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APPLIED HYBRID METHODS TO SOLVING INITIAL-VALUE PROBLEM TO INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE [PDF]
, 2013 During consideration of the chronology of scientific works we may note that scientists have studied integro-differential equations as more comprehensive than differential and integral equations.
Ibrahimov, Vagif +2 more
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