Results 21 to 30 of about 43,848 (263)
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
core +2 more sources
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
openaire +5 more sources
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
core +4 more sources
On the Stability of Delay Integro-Differential Equations [PDF]
Mathematical and Computational Applications, 2007 Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.
YALÇINBAŞ, SALİH +1 more
openaire +2 more sources
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
core +1 more source
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
doaj +1 more source
On the Reduction of Integro-Differential Equations [PDF]
Transactions of the American Mathematical Society, 1914 which is satisfied by the potential V of an electric field in an isotropic medium, in the so-called " static case " of hysteresis.t By solving this equation, regarded as an integral equation, for V2V, we are led to the differential equation of Poisson to determine V.
openaire +1 more source
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
core +1 more source
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
doaj +1 more source
Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]
, 1975 We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
core +1 more source