Existence and exponential stability of solutions for transmission system with varying delay in R
Mathematica Moravica, Tome 20 (2016) no. 2.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In the present paper we are going to consider in a one dimension bounded domain a transmission system with a varying delay. Under suitable assumptions on the weights of the damping and the delay terms, we prove the well-possedness and the uniqueness of solution using the semigroup theory. Also we show the exponential stability by introducing an appropriate Lyaponov functional.
Mots-clés : Wave equation, transmission problem, varying delay term, exponential stability 
@article{MM3_2016_20_2_a10,
     author = {Salah Zitouni and Abdelouaheb Ardjouni and Khaled Zennir and Rachida Amiar},
     title = {Existence and exponential stability of solutions for transmission system with varying delay in {R}},
     journal = {Mathematica Moravica},
     pages = {143 - 161},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2016},
     url = {https://geodesic-test.mathdoc.fr/item/MM3_2016_20_2_a10/}
}
TY  - JOUR
AU  - Salah Zitouni
AU  - Abdelouaheb Ardjouni
AU  - Khaled Zennir
AU  - Rachida Amiar
TI  - Existence and exponential stability of solutions for transmission system with varying delay in R
JO  - Mathematica Moravica
PY  - 2016
SP  - 143 
EP  -  161
VL  - 20
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/MM3_2016_20_2_a10/
ID  - MM3_2016_20_2_a10
ER  - 
%0 Journal Article
%A Salah Zitouni
%A Abdelouaheb Ardjouni
%A Khaled Zennir
%A Rachida Amiar
%T Existence and exponential stability of solutions for transmission system with varying delay in R
%J Mathematica Moravica
%D 2016
%P 143 - 161
%V 20
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/MM3_2016_20_2_a10/
%F MM3_2016_20_2_a10
Salah Zitouni; Abdelouaheb Ardjouni; Khaled Zennir; Rachida Amiar. Existence and exponential stability of solutions for transmission system with varying delay in R. Mathematica Moravica, Tome 20 (2016) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2016_20_2_a10/