Results 41 to 50 of about 40,062 (237)
Axioms, 2022 Multidimensional integro-differential equations are obtained when the unknown function of several independent variable and/or its derivatives appear under an integral sign. When the differentiation or integration operators or both are of fractional order,
Mondher Damak, Zaid Amer Mohammed
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Front motion for phase transitions in systems with memory
, 2000 We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici +17 more
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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.
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Population persistence under advection-diffusion in river networks [PDF]
, 2011 An integro-differential equation on a tree graph is used to model the evolution and spatial distribution of a population of organisms in a river network.
Ramirez, Jorge M
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A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations.
A. Golbabai
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H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations
, 2010 This paper is concerned with H\"older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the ...
Barles, Guy +2 more
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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.
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Accelerating Solutions in Integro-Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2011 In this paper, we study the spreading properties of the solutions of an integro-differential equation of the form $u_t=J\ast u-u+f(u).$ We focus on equations with slowly decaying dispersal kernels $J(x)$ which correspond to models of population dynamics with long-distance dispersal events. We prove that for kernels $J$ which decrease to $0$ slower than
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Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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On the Existence of Unstable Bumps in Neural Networks
, 2013 We study the neuronal field equation, a nonlinear integro-differential equation of Hammerstein type. By means of the Amann three fixed point theorem we prove the existence of bump solutions to this equation.
Kostrykin, Vadim, Oleynik, Anna
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