Results 31 to 40 of about 1,797,841 (315)

Treatment of a generalized scalar differential equation: analysis and explicit solution

open access: yesFrontiers in Physics
Obtaining a solution of a given SDE is essential in neuroscience, especially, in modeling transmission of nerve impulses between neurons through myelin substance. This paper analyzes a particular scalar differential equation (SDE).
Laila F. Seddek   +3 more
doaj   +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

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

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

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

Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs

open access: yes, 2013
In this paper we prove an approximation result for the viscosity solution of a system of semi-linear partial differential equations with continuous coefficients and nonlinear Neumann boundary condition. The approximation we use is based on a penalization
Bahlali, Khaled   +2 more
core   +3 more sources

Quantized Black Hole and Heun function

open access: yes, 2012
Following the simple proposal by He and Ma for quantization of a black hole(BH) by Bohr's idea about the atoms, we discussed the solvability of the wave equation for such a BH. We superficial solved the associated Schrodinger equation.
D. Momeni   +3 more
core   +1 more source

The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada

open access: yesPopulation Ecology, EarlyView.
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley   +1 more source

Ulam Stability of n-th Order Delay Integro-Differential Equations

open access: yesMathematics, 2021
In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
doaj   +1 more source

Tropical differential equations [PDF]

open access: yesAdvances in Applied Mathematics, 2017
Tropical differential equations are introduced and an algorithm is designed which tests solvability of a system of tropical linear differential equations within the complexity polynomial in the size of the system and in its coefficients. Moreover, we show that there exists a minimal solution, and the algorithm constructs it (in case of solvability ...
openaire   +4 more sources

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