EXISTENCE OF SOLUTIONS TO A SELF-REFERRED AND HEREDITARY SYSTEM OF DIFFERENTIAL EQUATIONS

@inproceedings{PASCALI2006EXISTENCEOS,
  title={EXISTENCE OF SOLUTIONS TO A SELF-REFERRED AND HEREDITARY SYSTEM OF DIFFERENTIAL EQUATIONS},
  author={EDUARDO PASCALI},
  year={2006}
}
  • EDUARDO PASCALI
  • Published 2006
We establish the existence and uniqueness of a local solution for the system of differential equations ∂ ∂t u(x, t) = u “ v “ Z t 0 u(x, s)ds, t ” , t ” ∂ ∂t v(x, t) = v “ u “ Z t 0 v(x, s)ds, t ” , t ” . with given initial conditions u(x, 0) = u0(x) and v(x, 0) = v0(x). 

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