DOKUMEN123.COM

In mathematics, a summation equation or discrete integral equation is an equation in which an unknown function appears under a summation sign. The theories of summation equations and integral equations can be unified as integral equations on time scales^[1] using time scale calculus. A summation equation compares to a difference equation as an integral equation compares to a differential equation.

The Volterra summation equation is: $x(t)=f(t)+\sum _{s=m}^{n}k{\bigl (}t,s,x(s){\bigr )}$ where $x$ is the unknown function, $s, t$ are integers, and $f, k$ are known functions.

References

^ Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains, Tomasia Kulik, Christopher C. Tisdell, September 3, 2007

Summation equations or discrete integral equations

This mathematical analysis–related article is a stub. You can help Wikipedia by adding missing information.

[1] Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains, Tomasia Kulik, Christopher C. Tisdell, September 3, 2007

[1]

Summation equation

References

Content Disclaimer