Results 21 to 30 of about 42,874 (261)
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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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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Oscillations of integro-differential equations
Differential and Integral Equations, 1991 The integro-differential inequality (1) \(\dot y(t)+\int^ t_ 0 K(t- s)y(s)ds\leq 0\), \(t\geq T\) and the corresponding integro-differential equation (2) \(\dot y(t)+\int^ t_ 0 K(t-s)y(s)ds=0\), \(t\geq T\) are considered. Sufficient conditions, under which no positive solution of (1) exists, and necessary and sufficient conditions for existence of a ...
Ladas, G., Philos, Ch. G., Sficas, Y. G.
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A PROBLEM WITH PARAMETER FOR THE INTEGRO-DIFFERENTIAL EQUATIONS
Mathematical Modelling and Analysis, 2021 The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is approximated by a loaded differential equation with a parameter.
Elmira A. Bakirova +2 more
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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]
, 2014 In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev +29 more
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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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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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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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Stability of an integro-differential equation
Computers & Mathematics with Applications, 2009 AbstractIn this work we study a scalar integro-differential equation and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed-point theory. Our work extends and improves the results in the literature.
Chuhua Jin, Jiaowan Luo
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