Yıl 2018, Cilt 47, Sayı 3, Sayfalar 625 - 635 2018-06-01
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## Exponential decay for a neutral one-dimensional viscoelastic equation

#### Nasser-eddine Tatar [1]

##### 35 75

In this work we consider a viscoelastic string subject to a delay of neutral type. The delay occurs in the second time derivative. Although delays are known by their destructive nature, here we prove an exponential decay result. We shall use the multiplier method and modify the classical energy by judicious choices of other functionals. This would lead to an appropriate differential inequality which allows us to conclude. It seems that this issue has never been discussed before in the literature.

Exponential decay, modified energy, multiplier technique, neutral delay, stability
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Birincil Dil en Matematik Matematik Yazar: Nasser-eddine Tatar (Sorumlu Yazar)
 Bibtex @araştırma makalesi { hujms440357, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {625 - 635}, doi = {}, title = {Exponential decay for a neutral one-dimensional viscoelastic equation}, key = {cite}, author = {Tatar, Nasser-eddine} } APA Tatar, N . (2018). Exponential decay for a neutral one-dimensional viscoelastic equation. Hacettepe Journal of Mathematics and Statistics, 47 (3), 625-635. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/440357 MLA Tatar, N . "Exponential decay for a neutral one-dimensional viscoelastic equation". Hacettepe Journal of Mathematics and Statistics 47 (2018): 625-635 Chicago Tatar, N . "Exponential decay for a neutral one-dimensional viscoelastic equation". Hacettepe Journal of Mathematics and Statistics 47 (2018): 625-635 RIS TY - JOUR T1 - Exponential decay for a neutral one-dimensional viscoelastic equation AU - Nasser-eddine Tatar Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 625 EP - 635 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Exponential decay for a neutral one-dimensional viscoelastic equation %A Nasser-eddine Tatar %T Exponential decay for a neutral one-dimensional viscoelastic equation %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Tatar, Nasser-eddine . "Exponential decay for a neutral one-dimensional viscoelastic equation". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 625-635.