In mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function. The general first-order, linear...

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...

Viscoelasticity Fluid mechanics Differential equation Integro-differential equation Ruin theory Volterra integral equation Agarwal, Ravi P., and Donal O'Regan...

delay differential equations, integro-differential equations, and so on. Differential difference equations are functional differential equations in which...

when the integral is taken over an open surface An integro-differential equation is a functional equation involving both the derivatives and the antiderivatives...

The Navier–Stokes equations (/nævˈjeɪ stoʊks/ nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances...

In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives...

A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution...

In mathematics, the Benjamin–Ono equation is a nonlinear partial integro-differential equation that describes one-dimensional internal waves in deep water...

differential equation Cauchy–Euler equation Riccati equation Hill differential equation Gauss–Codazzi equations Chandrasekhar's white dwarf equation Lane-Emden...

In mathematics, a linear differential equation is a differential equation that is linear in the unknown function and its derivatives, so it can be written...

In contrast to the Hartree–Fock equations - which are integro-differential equations - the Roothaan–Hall equations have a matrix-form. Therefore, they...

In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form y ′ + P ( x ) y = Q ( x ) y n , {\displaystyle...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...

is semi-Markovian, and the equation of motion is an integro-differential equation termed the generalized master equation: d P → d t = ∫ 0 t A ( t − τ...

a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or...

A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written...

{\partial \eta (\xi ,t)}{\partial \xi }}\,{\text{d}}\xi =0.} This integro-differential equation for the oscillatory variable η(x,t) is named after Gerald Whitham...

be written either as a single integro-differential equation or as a coupled system of a Schrödinger and a Poisson equation. In the latter case it is also...

In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...

and integro-differential equations. His work is summarised in his book Theory of functionals and of Integral and Integro-Differential Equations (1930)...

In mathematical analysis, Clairaut's equation (or the Clairaut equation) is a differential equation of the form y ( x ) = x d y d x + f ( d y d x ) {\displaystyle...

they used a very mathematical method and derived a non-linear integro-differential equation for a classical needle growth. However they only found an inaccurate...

convection–diffusion equation. The equation is a nonlinear integro-differential equation, and the unknown function in the equation is a probability density...

mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in...

integral equation Integral equation Integro-differential equation Polyanin, Andrei D.; Manzhirov, Alexander V. (2008). Handbook of Integral Equations (2nd ed...

Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary...

solve inhomogeneous linear ordinary differential equations. For first-order inhomogeneous linear differential equations it is usually possible to find solutions...

Differential equations are prominent in many scientific areas. Nonlinear ones are of particular interest for their commonality in describing real-world...

An inexact differential equation is a differential equation of the form: M ( x , y ) d x + N ( x , y ) d y = 0 {\displaystyle M(x,y)\,dx+N(x,y)\,dy=0}...