Non-autonomous Inhomogeneous Boundary Cauchy Problems and Retarded Equations

@inproceedings{MoussiNonautonomousIB,
  title={Non-autonomous Inhomogeneous Boundary Cauchy Problems and Retarded Equations},
  author={M. Moussi}
}
  • M. Moussi
This type of problems presents an abstract formulation of several natural equations such as retarded differential equations, retarded (difference) equations, dynamical population equations and neutral differential equations. In the autonomous case (A(t) = A, L(t) = L, φ(t) = φ) the Cauchy problem (IBCP ) was studied by Greiner [2,3]. He used a perturbation of domain of generator of semigroups, and showed the existence of classical solutions of (IBCP ) via variation of constants formula. In the… CONTINUE READING

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