Results 21 to 30 of about 88,256,166 (248)

On integrability of nonautonomous system of ordinary differential equations applied in dynamic theory of elasticity

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008
The article shows the possibility of generating new accurate solution of the system of two ordinary linear homogeneous differential second-order equations with variable general coefficients.
Yu. È. Senitskii
doaj   +1 more source

Iterative methods for constructing an equations of non-closed shells solution

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2021
The elasticity relations are transformed to a form that allows, in accordance with the previously proposed Saint-Venant - Picard - Banach method, to iteratively calculate all the required unknowns of the problem. The procedure for constructing a solution
Evgeny M. Zveryaev, Evgeniya M. Tupikova
doaj   +1 more source

The Riemann method for equations with a dominant partial derivative (A Review) [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov   +2 more
doaj   +1 more source

Study of the soliton propagation of the fractional nonlinear type evolution equation through a novel technique.

open access: yesPLoS ONE, 2023
Nonlinear fractional partial differential equations are highly applicable for representing a wide variety of features in engineering and research, such as shallow-water, oceanography, fluid dynamics, acoustics, plasma physics, optical fiber system ...
U H M Zaman   +3 more
doaj   +1 more source

Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics

open access: yesOpen Physics, 2021
In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations.
Khalique Chaudry Masood
doaj   +1 more source

A critical review of mathematical models and data used in diabetology

open access: yesBioMedical Engineering OnLine, 2006
The literature dealing with mathematical modelling for diabetes is abundant. During the last decades, a variety of models have been devoted to different aspects of diabetes, including glucose and insulin dynamics, management and complications prevention,
Chetouani A, Boutayeb A
doaj   +1 more source

A powerful diagnostic tool of analytic solutions of ordinary second-order linear homogeneous differential equations

open access: yesAdvances in Difference Equations, 2017
Very few of the ordinary second-order linear homogeneous (OSLH) differential equations are known to possess analytic, closed-form solutions and there is no general theory to predict whether such solutions exist in each particular case.
Dimitris M Christodoulou   +1 more
doaj   +1 more source

Derivation of The Generalized Gamma DistributionVia An ‎Ordinary Differential Equation Approach: Theory and Applications

open access: yesInternational Journal of Advanced Statistics and Probability
This paper introduces a novel approach for generating the Generalized Generalized Gamma (GGG) ‎distribution by employing a second-order non-homogeneous non-linear differential equation with ‎constant coefficients. The proposed framework yields a flexible univariate continuous probability ‎distribution with a rich structure.
Mohammad Shakil   +3 more
openaire   +1 more source

Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations

open access: yesFractal and Fractional
This paper is devoted to the general theory of systems of linear time-fractional differential-operator equations. The representation formulas for solutions of systems of ordinary differential equations with single (commensurate) fractional order is known
Sabir Umarov
doaj   +1 more source

Fractional dynamics of globally slow transcription and its impact on deterministic genetic oscillation. [PDF]

open access: yesPLoS ONE, 2012
In dynamical systems theory, a system which can be described by differential equations is called a continuous dynamical system. In studies on genetic oscillation, most deterministic models at early stage are usually built on ordinary differential ...
Kun Wei   +3 more
doaj   +1 more source

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