Results 21 to 30 of about 6,531,183 (350)

Modified differential equations [PDF]

ESAIM: Proceedings, 2007
Motivated by the theory of modified differential equations (backward error analysis) an approach for the construction of high order numerical integrators that preserve geometric properties of the exact flow is developed. This summarises a talk presented in honour of Michel Crouzeix.
Gilles Vilmart, Gilles Vilmart, Ernst Hairer, Philippe Chartier   +3 more
openaire   +3 more sources

On the Oscillation of the Generalized Food-Limited Equations with Delay

Aceh International Journal of Science and Technology, 2012
The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay ...
Bamaina M. Muhammad, Yusuf Haruna, Bala M. Abdulhamid   +2 more
doaj   +3 more sources

Periodic orbits near equilibria via averaging theory of second order

Mathematical Modelling and Analysis, 2012
Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral.
Luis Barreira, Jaume Llibre, Claudia Valls   +2 more
doaj   +1 more source

Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]

, 2009
A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin, Bhagat B, Bhagat B, Cole R H, Courant R, Dunne V D, Jodar L, Naimark M A, Reid W T, Tahsin Çağrı Şişman, Thornburg H, Zhuravlev M Ye, Şişman T Ç Tekin B   +12 more
core   +2 more sources

Utilization of Chebyshev collocation approach for differential, differential-difference and integro-differential equations

Arab Journal of Basic and Applied Sciences, 2021
Numerical solutions to differential and integral equations have been a very active field of research. The necessary tools to solving differential equations can add much fuel for acceleration of scientific development.
Hajra Zeb, Muhammad Sohail, Hussam Alrabaiah, Tahir Naseem   +3 more
doaj   +1 more source

On a complex differential Riccati equation [PDF]

, 2007
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S, Bernstein S, Bers L, Bogdanov Y, Davis H, De Schepper N Peña D Brackx F, Hille E, Kamke E, Kira V Khmelnytskaya, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Marchenko V, Matveev V, Mielnik B, Mielnik B, Novikov S P, Reid W, Samsonov B F, Tutschke W, Vekua I N, Vekua I N, Vladislav V Kravchenko, Watson G A   +28 more
core   +2 more sources

On a three step crisis integro-differential equation

Advances in Differential 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
D. Baleanu, Khadijeh Ghafarnezhad, S. Rezapour   +2 more
semanticscholar   +1 more source

Almost Sure Stability for Multi-Dimensional Uncertain Differential Equations

Mathematics, 2022
Multi-dimensional uncertain differential equation is a tool to model an uncertain multi-dimensional dynamic system. Furthermore, stability has a significant role in the field of differential equations because it can be describe the effect of the initial ...
Rong Gao
doaj   +1 more source

New uniqueness results for boundary value problem of fractional differential equation

, 2018
In this paper, uniqueness results for boundary value problem of fractional differential equation are obtained. Both the Banach's contraction mapping principle and the theory of linear operator are used, and a comparison between the obtained results is ...
Yujun Cui, Wenjie Ma, Qiao‐Xi Sun, Xinwei Su   +3 more
semanticscholar   +1 more source

Functional differential equations close to differential equations [PDF]

Bulletin of the American Mathematical Society, 1966
when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the ...
openaire   +2 more sources