Results 71 to 80 of about 1,822,413 (315)

Van der Pol model in two-delay differential equation representation

Scientific Reports, 2022
The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
doaj   +1 more source

A spectral-based numerical method for Kolmogorov equations in Hilbert spaces

, 2016
We propose a numerical solution for the solution of the Fokker-Planck-Kolmogorov (FPK) equations associated with stochastic partial differential equations in Hilbert spaces.
Delgado-Vences, Francisco J., Flandoli, Franco   +1 more
core   +1 more source

Structural insights into lacto‐N‐biose I recognition by a family 32 carbohydrate‐binding module from Bifidobacterium bifidum

FEBS Letters, EarlyView.
Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang, Naoki Sunagawa, Toma Kashima, Kiyohiko Igarashi, Akimasa Miyanaga, Shinya Fushinobu   +5 more
wiley   +1 more source

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Abstract and Applied Analysis, 2010
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj   +1 more source

Physical applications of second-order linear differential equations that admit polynomial solutions

, 2010
Conditions are given for the second-order linear differential equation P3 y" + P2 y'- P1 y = 0 to have polynomial solutions, where Pn is a polynomial of degree n. Several application of these results to Schroedinger's equation are discussed.
Ciftci H, Ebubekir Dogu, Fiziev P P, Fryantsev A V, Hakan Ciftci, Krall H L, Krylov G, Krylov G, Littlejohn L L, Lyskova A S, Nasser Saad, Nikiforov A F, Ray P P, Richard L Hall, Ronveaux A, Saad N, Slavyanov S Y   +16 more
core   +1 more source

The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity

FEBS Letters, EarlyView.
The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
wiley   +1 more source

Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations

Abstract and Applied Analysis, 2009
This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the ...
M. De la Sen
doaj   +1 more source

On stochastic differential equations and a generalised Burgers equation [PDF]

, 2012
In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
core  

Proca equations derived from first principles

, 2009
Gersten has shown how Maxwell equations can be derived from first principles, similar to those which have been used to obtain the Dirac relativistic electron equation.
Jackson J. D., Michel Gondran, Ryder L. H.   +2 more
core   +1 more source

Sheaves and Differential Equations [PDF]

Proceedings of the American Mathematical Society, 1956
known about the local theory and little about global problems. The present paper is an attempt to define and give some basic properties of the sheaves that are related to differential equations. Let M be a smooth domain in some euclidean space and let D be a linear partial differential operator whose coefficients are Coo on M.
openaire   +2 more sources