Results 41 to 50 of about 6,715,931 (355)

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

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

Two problems in the theory of differential equations

open access: yes, 2019
1) The differential equation considered in terms of exterior differential forms, as \'E.Cartan did, singles out a differential ideal in the supercommutative superalgebra of differential forms, hence an affine supervariety. In view of this observation, it
Leites, Dimitry
core   +1 more source

Difference–Differential Equations [PDF]

open access: yesNature, 1948
THE general linear homogeneous difference–differential equation with constant coefficients is where 0 ⩽ μ ⩽m, 0⩽ν ⩽ n, y(ν)(t) is the ν-th derivative of the unknown function y (t) and 0 = b0 bm, if amn≠ 0. (2) Was first given by Hilb8, but under conditions which would exclude most of the applications.
openaire   +1 more source

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

open access: yes, 2011
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov   +6 more
core   +1 more source

The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]

open access: yes, 2003
Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
core   +4 more sources

Solving Ordinary Differential Equations

open access: yesProgramming for Computations - Python, 2019
Differential equations constitute one of the most powerful mathematical tools to understand and predict the behavior of dynamical systems in nature, engineering, and society.
S. Linge, H. Langtangen
semanticscholar   +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

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

Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus   +6 more
wiley   +1 more source

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