Results 101 to 110 of about 110,191 (226)

On Some Comparisons of Multistep Methods and Their Applications to Solve Ordinary Differential Equations

WSEAS Transactions on Mathematics
The significance of Multistep Methods with constant coefficients and their application in addressing various Natural Science issues is universally acknowledged. Dahlquist conducted foundational research on these methods.
Imanova Mehriban, V. Ibrahimov
semanticscholar   +1 more source

A new operational matrix based on Bernoulli polynomials [PDF]

, 2014
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S., Parand, K., Rad, J. A., Shaban, M.   +3 more
core  

Asymptotic solutions of forced nonlinear second order differential equations and their extensions

, 2007
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B., Sadarangani, Kishin   +1 more
core   +3 more sources

Some new nonlinear second-order boundary value problems on an arbitrary domain

Advances in Difference Equations, 2018
In this paper, we develop the existence theory for nonlinear second-order ordinary differential equations equipped with new kinds of nonlocal non-separated type integral multi-point boundary conditions on an arbitrary domain. Existence results are proved
Ahmed Alsaedi, Mona Alsulami, Ravi P. Agarwal, Bashir Ahmad   +3 more
doaj   +1 more source

On certain transformation of ordinary Volterra's integro-differential equation [PDF]

, 1932
Otomar Pankraz
openalex   +1 more source

Morgan-Voyce Polynomial Approach for Ordinary Integro-Differential Equations Including Variable Bounds

, 2021
Mustafa Özel, Mehmet Tarakçı, Mehmet Sezer   +2 more
openalex   +2 more sources

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  

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

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