Abstract
In this paper, we study a class of second-order abstract linear hyperbolic equations with infinite memory that involve time-dependent unbounded linear operators. We obtain the well-posedness and stability of solutions to those nonautonomous second-order evolution equations under some appropriate assumptions. Our results generalize a number of previously known results in the autonomous case. Some specific examples are given to illustrate our abstract results, such as the nonautonomous Petrovsky type and wave equations.
| Original language | English |
|---|---|
| Pages (from-to) | 351-373 |
| Number of pages | 23 |
| Journal | Semigroup Forum |
| Volume | 105 |
| Issue number | 2 |
| DOIs | |
| State | Published - Oct 2022 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Asymptotic behavior
- Evolution families
- Infinite memory
- Nonautonomous evolution equations
- Nonautonomous petrovsky type equation
- Nonautonomous wave equation
- Self-adjoint
- Well-posedness
ASJC Scopus subject areas
- Algebra and Number Theory
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