Integrodifference equation

In mathematics, an integrodifference equation is a recurrence relation on a function space, of the following form: n t + 1 ( x ) = ∫ Ω k ( x , y ) f ( n t ( y ) ) d y , {\displaystyle n_{t+1}(x)=\int _{\Omega }k(x,y)\,f(n_{t}(y))\,dy,} where { n t } {\displaystyle \{n_{t}\}\,} is a sequence in the function space and Ω {\displaystyle \Omega \,} is the domain of those functions. In most applications, for any y ∈ Ω {\displaystyle y\in \Omega \,} , k ( x , y ) {\displaystyle k(x,y)\,} is a probability density function on Ω {\displaystyle \Omega \,} .

Source: Wikipedia — Integrodifference equation (CC BY-SA 4.0)

Integrodifference equation

In mathematics, an integrodifference equation is a recurrence relation on a function space, of the following form: n t + 1 ( x ) = ∫ Ω k ( x , y ) f ( n t ( y ) ) d y , {\displaystyle n_{t+1}(x)=\int _{\Omega }k(x,y)\,f(n_{t}(y))\,dy,} where { n t } {\displaystyle \{n_{t}\}\,} is a sequence in the function space and Ω {\displaystyle \Omega \,} is the domain of those functions. In most applications, for any y ∈ Ω {\displaystyle y\in \Omega \,} , k ( x , y ) {\displaystyle k(x,y)\,} is a probability density function on Ω {\displaystyle \Omega \,} .

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Source: Wikipedia "Integrodifference equation" · CC BY-SA 4.0

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