1 |
F. E. Browder, On the spectral theory of elliptic differential operators I, Math. Ann. 142 (1961), 22-130.
DOI
|
2 |
K.-J. Engel and R. Nagel, One-Parameter Semigroups of Linear Evolution Equations, Springer, 1999.
|
3 |
J. K. Hale and S. M. V. Lunel, Introduction to Functional Differential Equations, Springer, 1993.
|
4 |
E. Hille and R. S. Phillip, Functional Analysis and Semi-Groups, American Mathematical Society, Providence, R. I., 1957.
|
5 |
R. Miyazaki, D. Kim, T. Naito, and J. S. Shin, Fredholm operators, evolution semigroups, and periodic solutions of nonlinear periodic systems, J. Differential Equations 257 (2014), no. 11, 4214-4247.
DOI
|
6 |
R. Miyazaki, D. Kim, T. Naito, and J. S. Shin, Generalized eigenspaces of generators of evolution semigroups, to appear in J. Math. Anal. Appl..
|
7 |
R. Miyazaki, D. Kim, T. Naito, and J. S. Shin, Solutions of higher order inhomogeneous periodic evolutionary process, in preparation.
|
8 |
T. Naito and N. V. Minh, Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations, J. Differential Equations 152 (1999), no. 2, 358-376.
DOI
|
9 |
T. Naito and J. Shin, On solution semigroups of functional differential equations, RIMS Kokyuuroku 940 (1996), 161-175.
|
10 |
J. S. Shin and T. Naito, Representations of solutions, translation formulae and as-ymptotic behavior in discrete linear systems and periodic continuous linear systems, Hiroshima Math. J. 44 (2014), no. 1, 75-126.
|
11 |
J. S. Shin, T. Naito, and N. V. Minh, On stability of solutions in linear autonomous functional differential equations, Funkcial. Ekvac. 43 (2000), no. 2, 323-337.
|
12 |
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983.
|
13 |
A. E. Taylor and D. C. Lay, Introduction to Functional Analysis, John Wiley-Sons. Inc., 1980.
|
14 |
G. F. Webb, Theory of Nonlinear Age-dependent Population Dynamics, Pure and Appl. Math. Vol.89, Dekker, 1985.
|
15 |
C. C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200 (1974), 394-418.
|