# integro-differential equation

**integro-differential equation** Any equation for an unknown function involving integrals and derivatives of the function. Many different types can arise and there is no straightforward classification. The initial-value problem (see ordinary differential equations) given by *f*(*a*) = *f*_{0}

also contains features common to Volterra integral equations (see integral equation). Boundary-value problems and equations involving partial derivatives also occur in practice.

#### More From encyclopedia.com

Integral , The integral is one of two main concepts embodied in the branch of mathematics known as calculus. Interpreted graphically, an integral of a function… Integral Calculus , integral calculus In mathematics, branch of calculus that deals with integration: the finding of a function, one or more derivatives of which are giv… Very large scale integration , VLSI Abbrev. for very large-scale integration, i.e. integrated-circuit fabrication technology that allows over 100 000 transistors to be integrated o… Augustin-louis Cauchy , Cauchy, Augustin-Louis
Cauchy, Augustin-Louis
Life . Cauchy’s father, Louis-Fran?ois Cauchy, was born in Rouen in 1760. A brilliant student of classi… Calculus , As students first begin to study calculus in high school or college, many may be unsure about what calculus is. What are the fundamental concepts tha… Integrated Circuit , An integrated circuit (IC) is a single semiconducting chip that contains transistors and sometimes, capacitors, resistors, and diodes. These componen…

#### About this article

# integro-differential equation

#### You Might Also Like

#### NEARBY TERMS

**integro-differential equation**