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- Title
Global attractors for a system of elasticity with small delays.
- Authors
Araújo, Rawlilson O.; Bocanegra‐Rodríguez, Lito E.; Calsavara, Bianca M. R.; Seminario‐Huertas, Paulo N.; Sotelo‐Pejerrey, Alfredo
- Abstract
This paper is concerned with dynamics of elasticity systems featuring a nonlinear foundation of critical growth and delay effects. The existence of global attractors for such systems has been studied recently. Our main contribution establishes the upper‐semicontinuity of attractors with respect to a small parameter multiplying the delay term. Our results are new even for the analogous scalar wave equation.
- Subjects
WAVE equation; ELASTICITY; ATTRACTORS (Mathematics); NONLINEAR systems; GLOBAL asymptotic stability; SYSTEM dynamics
- Publication
Mathematical Methods in the Applied Sciences, 2021, Vol 44, Issue 8, p6911
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.7232