Two applications of evolution semigroups

1999 ◽  
pp. 131-161 ◽  
Author(s):  
Carmen Chicone ◽  
Yuri Latushkin
Keyword(s):  
Evolution Semigroups

scholarly journals Fredholm properties of evolution semigroups

2004 ◽  
Vol 48 (3) ◽  
pp. 999-1020 ◽  
Author(s):  
Yuri Latushkin ◽  
Yuri Tomilov
Keyword(s):  
Evolution Semigroups

scholarly journals Fredholm operators, evolution semigroups, and periodic solutions of nonlinear periodic systems

2014 ◽  
Vol 257 (11) ◽  
pp. 4214-4247 ◽  
Author(s):  
Rinko Miyazaki ◽  
Dohan Kim ◽  
Toshiki Naito ◽  
Jong Son Shin
Keyword(s):  
Periodic Solutions ◽  
Periodic Systems ◽  
Fredholm Operators ◽  
Evolution Semigroups

On the existence of evolution semigroups on L∞

2012 ◽  
Author(s):  
Ludovic Dan Lemle ◽  
Diana Monica Stoica
Keyword(s):  
Evolution Semigroups

scholarly journals Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations

2000 ◽  
Vol 5 (4) ◽  
pp. 245-263 ◽  
Author(s):  
Bernd Aulbach ◽  
Nguyen Van Minh
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Functional Differential Equation ◽  
Representation Theorem ◽  
Functional Differential Equations ◽  
Almost Periodicity ◽  
Almost Periodic ◽  
Functional Differential ◽  
Evolution Semigroups ◽  
Autonomous Evolution

We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the solutions of the underlying functional differential equation. The representation theorem is then used to study the boundedness and almost periodicity of solutions of a class of nonautonomous functional differential equations.

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