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Wellposedness of abstract differential equations with state‐dependent delay

Author

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  • Eduardo Hernández
  • Katia A. G. Azevedo
  • Vanessa Rolnik

Abstract

We study the existence and uniqueness of solutions, and the wellposedness of a general class of second order abstract differential equations with state‐dependent delay. Some examples related to partial differential equations with state‐dependent delay are presented.

Suggested Citation

  • Eduardo Hernández & Katia A. G. Azevedo & Vanessa Rolnik, 2018. "Wellposedness of abstract differential equations with state‐dependent delay," Mathematische Nachrichten, Wiley Blackwell, vol. 291(13), pages 2045-2056, September.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:13:p:2045-2056
    DOI: 10.1002/mana.201700127
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    Cited by:

    1. Eduardo Hernández, 2022. "Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay," Mathematische Nachrichten, Wiley Blackwell, vol. 295(1), pages 124-139, January.

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