I have derived two equations of the following type
$\dfrac{\delta A}{\delta x}=a\dfrac{\delta B}{\delta t}-b\dfrac{\delta^3 B}{\delta x^2 \delta t}$$$
\dfrac{\partial A}{\partial x}=a\dfrac{\partial B}{\partial t}-b\dfrac{\partial^3 B}{\partial x^2 \partial t}$$
and
$\dfrac{\delta B}{\delta x}=\int _0^l e^{-\lambda|x-x'|}\dfrac{\delta A(x')}{\delta t} dx'$$$
\dfrac{\partial B}{\partial x}=\int _0^l e^{-\lambda|x-x'|}\dfrac{\partial A(x')}{\partial t} dx'$$
Where A$A$ and B$B$ are functions of 'x'$x$ and 't'. x$t$, $x$ and x'$x'$ are any point between 0$0$ and $l$. a, b and $\lambda$$a, b, \lambda$ are constants.
Is it possible to gettransform these two equations into a single partial differential equation on B alone from these equationsfor $B$?
Daniele Tampieri
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