Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions

被引:19
作者
Boulaaras, Salah [1 ,2 ]
Choucha, Abdelbaki [3 ]
Cherif, Bahri [1 ]
Alharbi, Asma [1 ]
Abdalla, Mohamed [4 ,5 ]
机构
[1] Qassim Univ, Dept Math, Coll Arts & Sci, ArRass, Saudi Arabia
[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Oran, Algeria
[3] Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDEs Fdn & Applicat, Box 789, El Oued 39000, Algeria
[4] King Khalid Univ, Dept Math, Coll Sci, Abha 61413, Saudi Arabia
[5] South Valley Univ, Dept Math, Fac Sci, Qena 83523, Egypt
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 05期
关键词
viscoelastic equation; blow up; source term; NONEXISTENCE; EXISTENCE; DECAY;
D O I
10.3934/math.2021274
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work studies the blow up result of the solution of a coupled nonlocal singular viscoelastic equation with damping and general source terms under some suitable conditions.
引用
收藏
页码:4664 / 4676
页数:13
相关论文
共 22 条
  • [1] New general decay result for a system of two singular nonlocal viscoelastic equations with general source terms and a wide class of relaxation functions
    Al-Gharabli, Mohammad M.
    Al-Mahdi, Adel M.
    Messaoudi, Salim A.
    [J]. BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [3] Bayoud M., 2013, UKR MATH J, V65, P1
  • [4] Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
    Boulaaras, Salah
    Choucha, Abdelbaki
    Ouchenane, Djamel
    Cherif, Bahri
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [5] Global existence and decay for a system of two singular one-dimensional nonlinear viscoelastic equations with general source terms
    Boulaaras, Salah
    Guefaifia, Rafik
    Mezouar, Nadia
    [J]. APPLICABLE ANALYSIS, 2022, 101 (03) : 824 - 848
  • [6] Existence and uniform decay for a non-linear viscoelastic equation with strong damping
    Cavalcanti, MM
    Cavalcanti, VND
    Ferreira, J
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2001, 24 (14) : 1043 - 1053
  • [7] A PARABOLIC EQUATION WITH NONLOCAL BOUNDARY-CONDITIONS ARISING FROM ELECTROCHEMISTRY
    CHOI, YS
    CHAN, KY
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (04) : 317 - 331
  • [8] Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term
    Choucha, Abdelbaki
    Boulaaras, Salah Mahmoud
    Ouchenane, Djamel
    Allahem, Ali
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [9] BLOW-UP OF A NONLINEAR VISCOELASTIC WAVE EQUATION WITH DISTRIBUTED DELAY COMBINED WITH STRONG DAMPING AND SOURCE TERMS
    Choucha, Abdelbaki
    Ouchenane, Djamel
    Boulaaras, Salah
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
  • [10] Guo L., 2015, Applied Mathematics, V6, P806