The stability of nonlinear waves has a distinguished history and an abundance of richly
structured yet accessible examples, which makes it not only an important subject but also an …

Многие свойства решений (ограниченность, почти периодичность, устойчивость)
линейных дифференциальных уравнений с неограниченными операторными …

This book deals with evolutionary systems whose equation of state can be formulated as a
linear Volterra equation in a Banach space. The main feature of the kernels involved is that …

Many properties of solutions to linear differential equations with unbounded operator
coefficients (their boundedness, almost periodicity, stability) are closely connected with the …

In Section 2.1 the basic theory of sectorial operators is developed, including examples and
the concept of sectorial approximation. In Section 2.2 we introduce some notation for certain …

Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

Thetheoryofstronglycontinuoussemigroups… spaces, operator semigroups for short, has
become an indispensable tool in a great number of areas of modern mathematical analysis …

The time evol11tion of many physical phenomena in nat11re can be de scribed by partial
differential eq11ations. To analyze and control the dynamic behavior of s11ch systems …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

If a matrix or linear operator A is far from normal, its eigenvalues or, more generally, its
spectrum may have little to do with its behavior as measured by quantities such as|| A n|| or …