Asymptotic analysis of some abstract evolution equations

Asymptotic almost-equivalence of abstract evolution systems ⋆

We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, convergence in average and almost-convergence of almost-orbits both for the weak and the strong topologies based on the behavior of the orbits. We also analyze the set of almost-stationary points.

Asymptotic Behavior of some Rational Difference Equations

In this difference equation, Stability, Periodicity, boundedness, global Stability. We investigate some qualitative behavior of the solutions of the difference equation

Asymptotic Behaviour of Parabolic Nonautonomous Evolution Equations

Some Asymptotic Methods for Strongly Nonlinear Equations

Some Remarks on the Solvability of Some Abstract Differential Equations

This paper is concerned with the solvability of some abstract differential equation of type u̇(t) + Au(t) + Bu(t) ∋ f(t), t ∈ (0, T ], u(0) = 0, where A is a linear selfadjoint operator and B is a nonlinear (possibly multi-valued) maximal monotone operator in a real Hilbert space H with the normalization 0 ∈ B(0). We use the concept of variational sum introduced by H. Attouch, J.-B. Baillon, and...