Results 41 to 50 of about 41,134 (253)

Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2008
In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
doaj   +1 more source

On a three step crisis integro-differential equation

open access: yesAdvances in Difference Equations, 2019
One of the interesting fractional integro-differential equations is the three step crisis equation which has been reviewed recently. In this paper, we investigate the existence of solutions for a three step crisis fractional integro-differential equation
Dumitru Baleanu   +2 more
doaj   +1 more source

Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution

open access: yes, 1997
Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential equations.
Kojima, T., Korepin, V., Slavnov, N.
core   +2 more sources

A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]

open access: yesIranian 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
doaj   +1 more source

Front motion for phase transitions in systems with memory

open access: yes, 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
core   +1 more source

Variational Iteration Method for Solving Fractional Integro-Differential Equations with Conformable Differointegration

open access: yesAxioms, 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
doaj   +1 more source

H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations

open access: yes, 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
core   +3 more sources

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik 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
doaj   +1 more source

On the Existence of Unstable Bumps in Neural Networks

open access: yes, 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
core   +1 more source

On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays

open access: yesArab Journal of Basic and Applied Sciences
This article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
doaj   +1 more source

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