Results 71 to 80 of about 2,558,527 (394)

Gravitating fluids with Lie symmetries

open access: yes, 2010
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi   +9 more
core   +1 more source

Linear differential equations to solve nonlinear mechanical problems: A novel approach [PDF]

open access: yesarXiv, 2004
Often a non-linear mechanical problem is formulated as a non-linear differential equation. A new method is introduced to find out new solutions of non-linear differential equations if one of the solutions of a given non-linear differential equation is known. Using the known solution of the non-linear differential equation, linear differential equations
arxiv  

Linear Differential Equations as a Data Structure [PDF]

open access: yesFoundations of Computational Mathematics, 2019
A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving", but at computing ...
openaire   +5 more sources

Unconventional mRNA processing and degradation pathways for the polycistronic yrzI (spyTA) mRNA in Bacillus subtilis

open access: yesFEBS Letters, EarlyView.
The S1025 peptide is the major antidote to the YrzI toxin, which we renamed here as SpyT (Small Peptide YrzI Toxin) and SpyA (Small Peptide YrzI Antitoxin) (1). Degradation of the toxin–antitoxin spyTA mRNA, either by a translation‐dependent cleavage by the endoribonuclease Rae1 (2) or by direct attack by 3′‐exoribonucleases (3), also contributes to ...
Laetitia Gilet   +4 more
wiley   +1 more source

An integral equation associated with linear homogeneous differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
Associated with each linear homogeneous differential equation y(n)=∑i=0n−1ai(x)y(i) of order n on the real line, there is an equivalent integral equation f(x)=f(x0)+∫x0xh(u)du+∫x0x[∫x0uGn−1(u,v)a0(v)f(v)dv]du which is satisfied by each solution f(x) of ...
A. K. Bose
doaj   +1 more source

Pontryagin principle for a Mayer problem governed by a delay functional differential equation

open access: yes, 2016
We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
core   +3 more sources

The solution supramolecular structure of α2 → 8 polysialic acid suggests a structural cause for its low immunogenicity

open access: yesFEBS Letters, EarlyView.
α2 → 8 polysialic acid elicits poor immunogenicity. Small‐angle scattering shows a supramolecular structure with parallel‐chain binding, although in different forms at μm and mm calcium. The major histocompatibility complex requires molecular weights around 2000 Da to produce antibodies, and 2000 Da polysialic oligomers will bind in these structures ...
Kenneth A. Rubinson
wiley   +1 more source

Linear Analysis of an Integro-Differential Delay Equation Model

open access: yesInternational Journal of Differential Equations, 2018
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the model ...
Anael Verdugo
doaj   +1 more source

Asymptotic formulas for a scalar linear delay differential equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
The linear delay differential equation $$ x'(t)=p(t)x(t-r) $$ is considered, where $r>0$ and the coefficient $p:[t_0,\infty)\to\mathbb{R}$ is a continuous function such that $p(t)\to0$ as $t\to\infty$. In a recent paper [M. Pituk, G. Röst, Bound.
István Győri, Mihály Pituk
doaj   +1 more source

H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations

open access: yes, 2010
This paper is concerned with H\"older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the ...
Barles, Guy   +2 more
core   +2 more sources

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