existence of solutions to a self-referred and hereditary system of differential equations
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2006
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Abstract
We establish the existence and uniqueness of a local solution for the system of differential equations $$displaylines{ frac{partial }{partial t}u(x,t) = uBig(vBig(int_0^t u(x,s)ds, tBig), tBig) cr frac{partial }{partial t}v(x,t) = vBig(uBig(int_0^t v(x,s)ds, tBig), tBig). }$$ with given initial conditions $u(x,0)=u_0(x)$ and $v(x,0)=v_0(x)$.
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pascali2006electronicexistence
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| Authors | ;Eduardo Pascali |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2006 |
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