Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries

VA Dorodnitsyn, R Kozlov, SV Meleshko… - Journal of Physics A …, 2018 - iopscience.iop.org
constructing a differential delay equation out of group invariants we construct a differential
delay … first-order delay ordinary differential equations which admit two linearly connected …

Controllability of systems described by convolutional or delay-differential equations

P Vettori, S Zampieri - SIAM Journal on Control and Optimization, 2000 - SIAM
… within the theory of linear differential (or difference) systems, is a Bézout domain, ie, every
… We can build two polynomials p(s) and q(s) having those zeros of a(s) and b(s), respectively…

[PDF][PDF] Sufficient conditions for stability of linear differential equations with distributed delay

S Bernard, J Bélair, MC Mackey - Discrete and Continuous …, 2001 - academia.edu
… when little is known about the distribution of the delay. … Delay differential equations (DDE)
have been studied extensively for the past 50 years. They have applications in domains as …

[КНИГА][B] Numerical methods for delay differential equations

A Bellen, M Zennaro - 2013 - books.google.com
… the construction of the standard approach for delay equations… In the corresponding stability
analysis of continuous Runge-… delaydependent asymptotic stability property of linear delay

[КНИГА][B] Applied delay differential equations

T Erneux - 2009 - Springer
… of the pulsating solutions in a finite domain of parameters. Then, … signs, how many lanes to
build for a new highway, should … the stability of two successive cars as well as the stability of a …

[КНИГА][B] An introduction to delay differential equations with applications to the life sciences

H Smith - 2011 - dspace.kottakkalfarookcollege.edu …
equations that arise on linearizing around equilibria. Ideal prerequisites for this book include
a second course in ordinary differential equations such … aim being stability. In applications, …

[КНИГА][B] Stability and stabilization of time-delay systems: an eigenvalue-based approach

W Michiels, SI Niculescu - 2007 - SIAM
… of periodic solutions of delay differential equations, … delay differential equations wrt bounded
input perturbations: … and bifurcation analysis of delay differential equations and application …

[КНИГА][B] Stability of time-delay systems

K Gu, J Chen, VL Kharitonov - 2003 - books.google.com
… As with differential equations without delay, we may … For a system without delay, this requires
the construction of a … 5, we present time domain stability and robust stability conditions. This …

[КНИГА][B] Delay equations: functional-, complex-, and nonlinear analysis

O Diekmann, SA Van Gils, SMV Lunel, HO Walther - 2012 - books.google.com
… For people trained in ordinary differential equations the book … are two ingredients involved
in its construction: extending the … adjoint and restricting to the domain of strong continuity once …

[HTML][HTML] Numerical modelling in biosciences using delay differential equations

GA Bocharov, FA Rihan - Journal of Computational and Applied …, 2000 - Elsevier
… of stability of an otherwise stable-steady state if the delay … a time delay can sometimes
enhance stability, and short delays … Various classes of differential equations are used as building