Geodesic
An improved exponential decay result for some semilinear integrodifferential equations
Archivum mathematicum, Tome 39 (2003) no. 3, pp. 163-171 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.
We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.
Classification : 34G20, 34K20, 35B40, 35R10, 45G10, 45N05, 47D06, 47N20
Keywords: semigroup; fractional operator; weakly singular kernels; exponential decay 
@article{ARM_2003_39_3_a0,
     author = {Mazouzi, S. and Tatar, N.-E.},
     title = {An improved exponential decay result for some semilinear integrodifferential equations},
     journal = {Archivum mathematicum},
     pages = {163--171},
     year = {2003},
     volume = {39},
     number = {3},
     mrnumber = {2010716},
     zbl = {1113.45019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003_39_3_a0/}
}
TY  - JOUR
AU  - Mazouzi, S.
AU  - Tatar, N.-E.
TI  - An improved exponential decay result for some semilinear integrodifferential equations
JO  - Archivum mathematicum
PY  - 2003
SP  - 163
EP  - 171
VL  - 39
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_2003_39_3_a0/
LA  - en
ID  - ARM_2003_39_3_a0
ER  - 
%0 Journal Article
%A Mazouzi, S.
%A Tatar, N.-E.
%T An improved exponential decay result for some semilinear integrodifferential equations
%J Archivum mathematicum
%D 2003
%P 163-171
%V 39
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_2003_39_3_a0/
%G en
%F ARM_2003_39_3_a0
Mazouzi, S.; Tatar, N.-E. An improved exponential decay result for some semilinear integrodifferential equations. Archivum mathematicum, Tome 39 (2003) no. 3, pp. 163-171. http://geodesic.mathdoc.fr/item/ARM_2003_39_3_a0/

[1] Balasubramaniam P., Chandrasekaran M.: Existence of solutions of nonlinear integrodifferential equations with nonlocal boundary conditions in Banach spaces. Atti Sem. Math. Fis. Univ. Modena XLVI (1998), 1–13. | MR

[2] Henry D.: Geometric theory of semilinear parabolic equations. Springer-Verlag Berlin, Heidelberg, New York, 1981. | MR | Zbl

[3] Kirane M., Tatar N.-E.: Global existence and stability of some semilinear problems. Arch. Math. (Brno) 36 (2000), 33–44. | MR | Zbl

[4] Mazouzi S., Tatar N.-E.: Global existence for some semilinear integrodifferential equations with nonlocal conditions. ZAA 21, No.1 (2002), 249–256. | MR

[5] Medved’ M.: A new approach to an analysis of Henry type integral inequalities and their Bihari type versions. J. Math. Anal. Appl. 214 (1997), 349–366. | MR | Zbl

[6] Medved’ M.: Singular integral inequalities and stability of semi-linear parabolic equations. Arch. Math. (Brno) 34 (1998), 183–190. | MR

[7] Michalski M. W.: Derivatives of noninteger order and their applications. Dissertationes Mathematicae, Polska Akademia Nauk, Instytut Matematyczny, Warszawa 1993. | MR | Zbl

[8] Ntouyas S. K., Tsamatos P. Ch.: Global existence for semilinear evoluton integrodifferential equations with delay and nonlocal conditions. Appl. Anal. 64 (1997), 99–105. | MR

[9] Tatar N.-E.: Exponential decay for a semilinear integrodifferential problem with memory. Arab. J. Math. Vol. 7, No. 1 (2001), 29–45. | MR