• Corpus ID: 119686823

Notes on solution maps of abstract FDEs

  title={Notes on solution maps of abstract FDEs},
  author={Xiaopeng Zhao},
  journal={arXiv: Analysis of PDEs},
  • Xiaopeng Zhao
  • Published 3 January 2017
  • Mathematics
  • arXiv: Analysis of PDEs
It is shown that the solution maps of an abstract functional differential equations (FDEs) are $\alpha$-contractions in the phase space equipped with an equivalent norm under appropriate assumptions. This result can be applied to time-delayed reaction-diffusion equations and other evolution systems with time delay. 



Periodic-Parabolic Boundary Value Problems and Positivity

Part 1 Discrete-time order-preserving dynamical systems: monotone iteration schemes connecting orbits stabilization existence of stable fixed points an example to stabilization - sublinear mappings

Semigroups of Linear Operators and Applications to Partial Differential Equations

  • A. Pazy
  • Mathematics
    Applied Mathematical Sciences
  • 1983
This chapter discusses generation and representation, applications to Partial Differential Equations-Nonlinear Equations, and the Inhomogeneous Equation in the Parabolic Initial Value Problem.