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.

引用

页数：24

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