Results 31 to 40 of about 6,821,838 (248)

Almost Sure Stability for Multi-Dimensional Uncertain Differential Equations

open access: yesMathematics, 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

On the existence of solutions of a three steps crisis integro-differential equation

open access: yes, 2018
There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation.
D. Baleanu   +3 more
semanticscholar   +1 more source

On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions

open access: yesAbstract and Applied Analysis, 2015
We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function.
Zhengxin Zhou
doaj   +1 more source

Data-driven discovery of partial differential equations [PDF]

open access: yesScience Advances, 2016
Researchers propose sparse regression for identifying governing partial differential equations for spatiotemporal systems. We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by ...
S. Rudy, S. Brunton, J. Proctor, J. Kutz
semanticscholar   +1 more source

Hyperbolic function solutions of time-fractional Kadomtsev-Petviashvili equation with variable-coefficients

open access: yesAIMS Mathematics, 2022
Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
doaj   +1 more source

BERNULLI DIFFERENTIAL EQUATION AND CHAOS

open access: yesVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
Existence conditions of homoclinic orbits for some systems of ordinary quadratic dif­ferential equations with singular linear part are founded. A realization of these conditions guarantees the existence of chaotic attractors at 3-D autonomous quadratic ...
V. Ye. Belozerov
doaj   +1 more source

Linearisation of a second-order nonlinear ordinary differential equation

open access: yesActa Polytechnica, 2023
We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj   +3 more
doaj   +1 more source

Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions

open access: yes, 2015
In this paper, a Lyapunov-type inequality is obtained for a fractional differential equation under fractional boundary conditions. We then use this inequality to obtain an interval where a certain Mittag-Leffler function has no real zeros.
Jianxun Rong, C. Bai
semanticscholar   +1 more source

An analytical method for shallow spherical shell free vibration on two-parameter foundation

open access: yesHeliyon, 2021
The free vibration control differential equation of shallow spherical shell on two-parameter foundation is a four order differential equation.
Jiarong Gan   +4 more
doaj  

A problem with parameter for the integro-differential equations

open access: yesMathematical Modelling and Analysis, 2021
The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova   +2 more
doaj   +1 more source

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