Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and
Nonautonomous Parabolic Equations and Applications focuses on the principal spectral …

The purpose of the paper is to extend the principal eigenvalue and principal eigenfunction
theory for time independent and periodic parabolic equations to random and general …

In this paper the boundedness of minimal periods of linearly stable cycles for discrete,
strongly order-preserving semigroups (F_0^n)_n∈N in bounded subsets of an ordered …

We consider a C 1, α smooth flow in R d which is “strongly monotone” with respect to a cone
C of rank k, a closed set that contains a linear subspace of dimension k and no linear …

For C 1-smooth strongly monotone discrete-time dynamical systems, we prove dynamics
alternatives, which concludes that any compact orbit is either asymptotic to a linearly stable …

The current paper is devoted to the investigation of asymptotic dynamics in random
Kolmogorov models. Applying the theory of principal Lyapunov exponents and the principal …

We put forward a theory extending the notion of principal eigenfunction and principal
eigenvalue to the case of linear nonautonomous parabolic PDEs of second orderu t=∑ i, j …

For linear random dynamical systems in a separable Banach space X, we derived a series
of Krein–Rutman type Theorems with respect to co-invariant cone family with rank-k, which …

For strongly monotone dynamical systems, the dynamics alternative for smooth discrete-time
systems turns out to be a perfect analogy of the celebrated Hirsch's limit-set dichotomy for …

We investigated a linear random dynamical system which strongly preserves a cone C of
dimension-k (abbr. k-cone) in R n. Under some general assumptions, it is shown that such …