MHB Operator form of integro-differential equation

  • Thread starter Thread starter sarrah1
  • Start date Start date
  • Tags Tags
    Form Operator
sarrah1
Messages
55
Reaction score
0
Hi

For brevity one usually writes Fredholm integral equation of the 2nd kind

$\psi(x)=f(x)+\int_{a}^{b} \,k(x,s)\psi(s) ds$

into the form

$\psi=f+K \psi$
where $K$ is the operator kernel

My question can one write an integro differential equation

$\d{\psi(x)}{x}=f(x)+\int_{a}^{b} \,k(x,s)\psi(s) ds$

into the form

${D}_{x}\psi=f+K \psi$

thanks
 
Physics news on Phys.org
Yep. You just did!
 
Ackbach said:
Yep. You just did!

thank you indeed
 
Back
Top