Category
page 1Differential equations

wave
thumb|Surface waves in water showing water ripples
differential equation
mathematical equation involving derivatives of an unknown function
Laplace transform
the integral transform ∫₀^∞ d𝑠 𝑓(𝑡)exp(−𝑠𝑡)
partial differential equation
differential equation that contains unknown multivariable functions and their partial derivatives
pendulum
idealized concept of a pendulum
logistic function
mathematical function
Green's function
Green's functions
path integral
formal sum or integral over all histories of a quantum system
linear differential equation
differential equations that are linear with respect to the unknown function and its derivatives
stochastic differential equation
differential equations involving stochastic processes
Lanchester's laws
mathematical formulas for calculating the relative strengths of military forces
Ramsey–Cass–Koopmans model
neoclassical economic model that describes the dynamics of economic growth over time
hybrid system
dynamical system that exhibits both continuous and discrete dynamic behavior
gravity train
type of train
conserved quantity
(of a dynamical system) function of the dependent variables that is a constant (in other words, conserved) along each trajectory of the system
Lie theory
study of Lie groups, Lie algebras and differential equations
Floquet theory
branch of ordinary differential equations
slope field
visual representation of solutions to a differential equation
initial condition
parameter in differential equations and dynamical systems
integro-differential equation
equation involving both integrals and derivatives of a function
differential Galois theory
study of Galois symmetry groups of differential fields
compartmental models in epidemiology
Type of model which includes SIR model and derivatives
Schwinger–Dyson equation
equations for correlation functions in QFT
delay differential equation
type of differential equation
Bendixson–Dulac theorem
theorem
operational calculus
technique to solve differential equations
physics-informed neural networks
innovative technique to solve partial differential equations
Lax pair
Matrices satisfying a differential equation
weak solution
mathematical solution
Einstein–Infeld–Hoffmann equations
system of second-order differential equations describing the motion of a system of point particles with leading-order general-relativistic corrections
Liouville's theorem
theorem in differential algebra
Laplace transform applied to differential equations
Method for solving linear differential equations using the Laplace transform
nullcline
In mathematical analysis, nullclines, sometimes called zero-growth isoclines, are encountered in a system of ordinary differential equations
x_1'=f_1(x_1, \ldots, x_n)
x_2'=f_2(x_1, \ldots, x_n)
\vdots
x_n'=f_n(x_1, \ldots, x_n)
singular solution
Zoghman Mebkhout
mathematician
hyperbolic growth
growth function exhibiting a singularity in a finite time
Nash–Moser theorem
Generalization of the inverse function theorem
Mironenko reflecting function
mathematical function