On stability of solutions in linear autonomous functional differential equations

MR1795977 Shin, Jong Son and Naito, Toshiki and Minh, Nguyen Van Jong Son SHIN, Toshiki NAITO and Nguyen VAN MINH On stability of solutions in linear autonomous functional differential equations Funkcialaj Ekvacioj. Serio Internacia 43 2000 323--337 http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-2-8.pdf http://fe.math.kobe-u.ac.jp/FE/no-infty-pdf.pdf http://www.ams.org/mathscinet-getitem?mr=MR1795977 43-323 2000 On Stability of Solutions in Linear Autonomous Functional Differential Equations Jong son SHIN, Toshiki NAITO and Nguyen VAN MINH Jong son SHIN, Toshiki NAITO and Nguyen VAN MINH

1 Grabosch, A.; Moustakas, U. A semigroup approach to retarded equations Lecture Notes in Math., 1184 1986 219-232 MR0839450

2 Hino, Y.; Murakami, S.; Naito, T. Functional Differential Equations with Infinite Delay Lecture Notes Math., 1473, Springer-Verlag 1991 MR1122588 3 Nagel, R.(Ed) One-parameter Semigroups of Positive Operators Lecture Notes in Math., 1184, Springer-Verlag 1986 MR0839450

4 Naito, T.; Shin, J. S. Evolution equations with infinite delay RIMS Kokyuroku, No. 984 1997 147-160 MR1602262

5 Naito, T.; Shin, J. S.; Murakami, S. On solution semigroups of general functional differential equations Nonlinear Analysis, TMA 30 1997 4565-4576 MR1603601

6 Naito, T.; Shin, J. S.; Murakami, S. The generator of the solution semigroup for the general linear functional differential equation Bull. of the University of Electro-Communications 11 1998 29-38 MR1674400

7 van Neerven, J. The Asymptotic Behaviour of Semigroups of Linear Operators Birkhäuser Verlag. Basel. Boston. Berlin, Operator Theory, Advances and Applications, Vol. 88 1996 MR1409370

8 Shin, J. S. Comparison theorems and uniqueness of mild solutions to semilinear functional differential equations in Banach spaces Nonlinear Analysis. TMA. 23 1994 825-847 MR1302147

9 Shin, J. S.; Naito, T. Semi-Fredholm operators and periodic solutions for linear functional differential equations J. Differential Equations 153 1999 407-441 MR1683628

10 Travis, C. C.; Webb, G. F. Existence and stability for partial functional differential equations Trans. Amer. Math. Soc. 200 1974 394-418 MR0382808

11 Webb, G. F. Theory of Nonlinear Age-Dependent Population Dynamics Marcell Dekker, Inc. 1986 MR0772205

12 Webb, G. F. An operator-theoretic formulation of asynchronous exponential growth Trans. Am. Math. Soc. 303 1987 751-763 MR0902796