My Math Forum Differential equation with delta function

 Calculus Calculus Math Forum

 May 15th, 2017, 06:28 AM #1 Member   Joined: Dec 2016 From: - Posts: 54 Thanks: 10 Differential equation with delta function Hi there, I was just trying to solve a differential equation of the following form: \begin{eqnarray} \partial_{x}f(x)-\partial_{x}f(-x)=\tau \delta(x)(g(x)f(x) - h(x)f(-x)) \end{eqnarray} I think the difficult part here is how to treat the delta function on the right hand-size, since the equation itself is badly defined there. I just approached taking the following limits $x\to +\varepsilon$ and $x\to -\varepsilon$, and integrating the equation between $[-\varepsilon,+\epsilon]$, however I know now this doesnt provide a correct answer, is there a general procedure to deal with such differential equations? Thanks!

 Tags delta, differential, equation, function

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post nilbuwa Calculus 0 September 14th, 2011 11:10 AM felipe21 Differential Equations 6 April 16th, 2009 12:38 PM koujidaisuki76 Differential Equations 0 April 12th, 2009 08:00 AM koujidaisuki76 Differential Equations 0 April 12th, 2009 07:57 AM Simonp2 Differential Equations 0 February 13th, 2009 04:35 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top