On the Existence of Almost Automorphic Solutions to Some Abstract Hyperbolic Differential Equations
Diagana, Toka
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 219-234 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper we give some sufficient conditions, which do ensure the existence and uniqueness of a compact almost automorphic solution to some hyperbolic differential equations. As an illustration, we study the existence and uniqueness of almost automorphic solutions to a one-dimensional heat equation with small delays.
Publié le : 2010-04-15
Classification:  Sectorial operator,  analytic semigroup,  hyperbolic semigroup,  almost automorphic function,  heat equation with delay,  44A35,  42A85,  42A75 
@article{1274896201,
     author = {Diagana, Toka},
     title = {On the Existence of Almost Automorphic Solutions to
Some Abstract Hyperbolic Differential Equations},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 219-234},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1274896201}
}

Diagana, Toka. On the Existence of Almost Automorphic Solutions to
Some Abstract Hyperbolic Differential Equations. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  219-234. http://gdmltest.u-ga.fr/item/1274896201/