GENERAL DECAY OF THE SOLUTION TO A NONLINEAR VISCOELASTIC MODIFIED VON-KARMAN SYSTEM WITH DELAY

被引：8

作者：

Khemmoudj, Ammar ^{[1
]}

Mokhtari, Yacine ^{[1
]}

机构：

[1] Univ Sci & Technol Houari Boumedienne, Fac Math, POB 32, Algiers 16111, Algeria

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 07期

关键词：

Nonlinear von Karman system; viscoelastic term; delay term; decay rate; Lyapunov functionals; SEMILINEAR WAVE-EQUATION; ENERGY DECAY; UNIFORM DECAY; ASYMPTOTIC-BEHAVIOR; PLATE EQUATION; WELL-POSEDNESS; BEAM EQUATION; TIME DELAYS; BOUNDARY; RATES;

D O I：

10.3934/dcds.2019155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a viscoelastic modified nonlinear Von-Karman system with a linear delay term. The well posedness of solutions is proved using the Faedo-Galerkin method. We use minimal and general conditions on the relaxation function and establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

引用

页码：3839 / 3866

页数：28

共 50 条

[1] General decay of the solution to a nonlinear viscoelastic beam with delay
Khemmoudj, Ammar
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 4 (03):
[2] Existence and general decay for the full von Karman beam with a thermo-viscoelastic damping, frictional dampings and a delay term
Liu, Wenjun
Chen, Kewang
Yu, Jun
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (02) : 521 - 542
[3] General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities
Park, Sun-Hye
BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
[4] Energy decay rate for a von Karman system with a boundary nonlinear delay term
Kim, Daewook
Park, Jong Yeoul
Kang, Yong Han
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (09) : 3269 - 3282
[5] Uniform decay rates for nonlinear viscoelastic Marguerre-von Karman equations
Li, Fushan
Bai, Yuzhen
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (02) : 522 - 535
[6] Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay
Lekdim, Billal
Khemmoudj, Ammar
RICERCHE DI MATEMATICA, 2024, 73 (01) : 261 - 282
[7] General decay for a von Karman equation with memory and time-varying delay
Kang, Jum-Ran
APPLIED MATHEMATICS LETTERS, 2021, 122
[8] Global existence and energy decay of solutions to a viscoelastic Timoshenko beam system with a nonlinear delay term
Djilali, Laid
Benaissa, Abbes
Benaissa, Abdelkader
APPLICABLE ANALYSIS, 2016, 95 (12) : 2637 - 2660
[9] Arbitrary decay for a von Karman system with memory
Kang, Jum-Ran
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[10] General decay to the full von Karman system with memory
Munoz Rivera, Jaime E.
Soufyane, A.
Santos, M. L.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (06) : 2633 - 2647

← 1 2 3 4 5 →