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state-dependent argument

Proceedings of the Edinburgh Mathematical Society (1)

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Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument
Part of
- Functional-differential and differential-difference equations
- Groups and semigroups of linear operators, their generalizations and applications
Eduardo Hernandez, Denis Fernandes, Akbar Zada
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 66 / Issue 2 / May 2023

Published online by Cambridge University Press:

26 April 2023, pp. 305-345
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We study the local and global existence and uniqueness of mild solution for a general class of abstract differential equations with state-dependent argument. In the last section, some examples on partial differential equations with state-dependent argument are presented.