Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback

被引：0
|
作者：
Choucha, Abdelbaki [1 ,2 ]
Boulaaras, Salah [3 ]
Haiour, Mohamed [4 ]
Shahrouzi, Mohammad [5 ]
Jan, Rashid [6 ,7 ]
Abdalla, Mohamed [8 ]
机构：
[1] Amar Teleji Laghouat Univ, Fac Sci, Dept Mat Sci, Laghouat, Algeria
[2] Ghardaia Univ, Lab Math & Appl Sci, Ghardaia, Algeria
[3] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia
[4] Univ Badji Mokhtar Annaba, Numer Anal Optimizat & Stat Lab, Annaba, Algeria
[5] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran
[6] Univ Tenaga Nas, IEI, Coll Engn, Dept Civil Engn, Putrajaya Campus,JalanIKRAM UNITEN, Kajang 43000, Selangor, Malaysia
[7] Near East Univ, Math Res Ctr, TRNC,Mersin 10, TR-99138 Nicosia, Turkiye
[8] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2025年 / 16卷 / 02期
关键词：
Exponential growth; Blow up; Fractional damping; Time-varying delay; Viscoelasticity; Logarithmic nonlinearity; Nonlinear equations; 76Exx; INITIAL-ENERGY SOLUTIONS; UNIFORM DECAY; NONEXISTENCE THEOREMS; GLOBAL NONEXISTENCE; STABILITY; EXISTENCE; SYSTEM; DELAY; STABILIZATION;
D O I：
10.1007/s11868-025-00687-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is concerned with a nonlinear viscoelastic wave equation with logarithmic nonlinearity. By supposing the nonlinear time-varying delay acting on the boundary feedback coupling by the acoustic and fractional boundary conditions. Firstly, we prove the exponential growth of solutions with negative initial-energy under suitable hypotheses and, in general, of the kernel. Then, the blow-up of solutions is showed under the same assumptions. This result extends and complements some previous results.
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页数：24
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