Delay differential equation, the Glossary

Table of Contents

1. 21 relations: Actuator, Characteristic equation (calculus), Control system, Diabetes, Differential equation, Epidemiology, Fabius function, Functional differential equation, Halanay inequality, Initial value problem, Lambert W function, Mathematics, Nonlinear eigenproblem, Ordinary differential equation, Pantograph (transport), Partial differential equation, Population dynamics, Sensor, Spectral theory, Spectrum of a matrix, Telecommunications network.

Actuator

An actuator is a component of a machine that produces force, torque, or displacement, usually in a controlled way, when an electrical, pneumatic or hydraulic input is supplied to it in a system (called an actuating system).

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Characteristic equation (calculus)

In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree upon which depends the solution of a given th-order differential equation or difference equation.

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Control system

A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. Delay differential equation and control system are control theory.

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Diabetes

Diabetes mellitus, often known simply as diabetes, is a group of common endocrine diseases characterized by sustained high blood sugar levels.

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Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. Delay differential equation and differential equation are differential equations.

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Epidemiology

Epidemiology is the study and analysis of the distribution (who, when, and where), patterns and determinants of health and disease conditions in a defined population.

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Fabius function

In mathematics, the Fabius function is an example of an infinitely differentiable function that is nowhere analytic, found by.

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Functional differential equation

A functional differential equation is a differential equation with deviating argument. Delay differential equation and functional differential equation are differential equations.

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Halanay inequality

Halanay inequality is a comparison theorem for differential equations with delay. Delay differential equation and Halanay inequality are control theory.

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Initial value problem

In multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain.

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Lambert W function

In mathematics, the Lambert function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse relation of the function, where is any complex number and is the exponential function.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Nonlinear eigenproblem

In mathematics, a nonlinear eigenproblem, sometimes nonlinear eigenvalue problem, is a generalization of the (ordinary) eigenvalue problem to equations that depend nonlinearly on the eigenvalue.

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Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. Delay differential equation and ordinary differential equation are differential equations.

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Pantograph (transport)

A pantograph (or "pan" or "panto") is an apparatus mounted on the roof of an electric train, tram or electric bus to collect power through contact with an overhead line.

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Partial differential equation

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function. Delay differential equation and partial differential equation are differential equations.

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Population dynamics

Population dynamics is the type of mathematics used to model and study the size and age composition of populations as dynamical systems.

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Sensor

A sensor is a device that produces an output signal for the purpose of detecting a physical phenomenon.

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Spectral theory

In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.

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Spectrum of a matrix

In mathematics, the spectrum of a matrix is the set of its eigenvalues.

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Telecommunications network

A telecommunications network is a group of nodes interconnected by telecommunications links that are used to exchange messages between the nodes.

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References

[1] https://en.wikipedia.org/wiki/Delay_differential_equation

Also known as Delayed differential equations, Difference-differential equation, Differential Delay Equation, Differential-difference equations, Pantograph equation, Solutions of delay differential equations, Time-delay system, Time-delay systems.