Results 61 to 70 of about 623 (142)

Hopf bifurcation of integro-differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2000
A method reducing integro-differential equations (IDEs) to system of ordinary ones is proposed. On this base stability and bifurcation phenomena in critical cases are studied.
Alexander Domoshnitsky, Ya. Goltser
doaj   +1 more source

Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets

پژوهش‌های ریاضی, 2020
Introduction Optimal control problems (OCPs) appear in a wide class of applications. In the classical control problems, the state-space equations are expressed as differential equations.
Hamid Mesgarani, Hamid Safdari, Abolfazl Ghasemian   +2 more
doaj  

Learning nonlinear integral operators via recurrent neural networks and its application in solving integro-differential equations

Machine Learning with Applications
In this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-differential equations (IDEs).
Hardeep Bassi, Yuanran Zhu, Senwei Liang, Jia Yin, Cian C. Reeves, Vojtěch Vlček, Chao Yang   +6 more
doaj   +1 more source

Explicit stability conditions for neutral type vector functional differential equations. A survey [PDF]

Surveys in Mathematics and its Applications, 2014
This paper is a survey of the recent results of the author on the stability of linear and nonlinear neutral type functional differential equations. Mainly, vector equations are considered. In particular, equations whose nonlinearities are causal mappings
Michael I. Gil'
doaj  

Linear Analysis of an Integro-Differential Delay Equation Model

International Journal of Differential Equations, 2018
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the model ...
Anael Verdugo
doaj   +1 more source

Averaging method in optimal control problems for integro-differential equations

Open Mathematics
The averaging method is applied to the study of optimal control problems for systems of integro-differential equations with rapidly oscillating coefficients and a small parameter.
Lakhva Roksolana, Uteshova Roza, Stanzhytskyi Oleksandr, Mogylova Viktoria   +3 more
doaj   +1 more source

Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow

International Journal of Aerospace Engineering, 2009
An airfoil subjected to two-dimensional incompressible inviscid flow is considered. The airfoil is supported via a translational and a torsional springs.
H. Alighanbari, S. M. Hashemi
doaj   +1 more source

On Martínez-Kaabar fractal-fractional double Laplace transformation

Ain Shams Engineering Journal
An extended version of the Martinez-Kaabar fractal-fractional (MKF-F) calculus theory is investigated in this work, to the integral transformations and employed in solving some fractal-fractional (F-F) partial integro-differential equations. Specifically,
Francisco Martínez, Mohammed K.A. Kaabar   +1 more
doaj   +1 more source

Noncommutative operational calculus

Electronic Journal of Differential Equations, 1999
Oliver Heaviside's operational calculus was placed on a rigorous mathematical basis by Jan Mikusinski, who constructed an algebraic setting for the operational methods.
Henry E. Heatherly, Jason P. Huffman
doaj  

Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]

Sci Rep
Oudjedi-Damerdji LF, Meziane M, Djidel O, Boulaaras S, Alharbi A.   +4 more
europepmc   +1 more source