This article presents an interaction between functional homomorphisms, dynamical systems and differential equations. The exponential functions play pivotal role in this interaction.
References
C. Chicone and Y. Latushkin, Evolution Semigroups in Dynamical Systems and Differential Equations, Math. Survey monograph, 70, American Math. Soc., Providence, 1999. MR1707332 0970.47027 C. Chicone and Y. Latushkin, Evolution Semigroups in Dynamical Systems and Differential Equations, Math. Survey monograph, 70, American Math. Soc., Providence, 1999. MR1707332 0970.47027
R. Ellis, Lectures on Topological Dynamics, Benjamin, N.Y., 1969. MR267561 0193.51502 R. Ellis, Lectures on Topological Dynamics, Benjamin, N.Y., 1969. MR267561 0193.51502
K.J. Engel and R. Nagel, One Parameter Semigroup of Linear Evolution Equations, Springer-Verlag, New York, Berlin 1999. MR1721989 0952.47036 K.J. Engel and R. Nagel, One Parameter Semigroup of Linear Evolution Equations, Springer-Verlag, New York, Berlin 1999. MR1721989 0952.47036
A. Pazy, Semigroup of Linear Operators and Application to Partial Differential Equations, Springer-Verlag, New York, 1983. MR710486 0516.47023 A. Pazy, Semigroup of Linear Operators and Application to Partial Differential Equations, Springer-Verlag, New York, 1983. MR710486 0516.47023
J.A. Walker, Dynamical Systems and Evolution Equations, Plenum Press, New York, London, 1980. MR561511 0421.34050 J.A. Walker, Dynamical Systems and Evolution Equations, Plenum Press, New York, London, 1980. MR561511 0421.34050