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ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF THE CAUCHY PROBLEM FOR A NONLINEAR EQUATION
- Authors: Umarov K.G1,2
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Affiliations:
- Chechen Academy of Sciences
- Chechen State Pedagogical University
- Issue: Vol 60, No 10 (2024)
- Pages: 1350-1367
- Section: PARTIAL DERIVATIVE EQUATIONS
- URL: https://rjmseer.com/0374-0641/article/view/649601
- DOI: https://doi.org/10.31857/S0374064124100059
- EDN: https://elibrary.ru/JTOWLX
- ID: 649601
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Abstract
For a nonlinear partial differential equation generalizing a damped sixth-order Boussinesq equation with double dispersion and the equation of transverse oscillations of a viscoelastic Voigt–Kelvin beam under the action of external and internal friction and whose deformation is considered taking into account the correction for the inertia of section rotation, sufficient conditions for the existence and exponential decay of a global solution of the Cauchy problem are found.
About the authors
Kh. G Umarov
Chechen Academy of Sciences; Chechen State Pedagogical University
Email: umarov50@mail.ru
Grozny, Russia; Grozny, Russia
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