Periodic trajectories for evolution equations in Banach spaces
Date
2005-09-28
Authors
Voisei, Mircea D.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
The existence of periodic solutions for the evolution equation
y'(t) + Ay(t) ∋ F(t, y(t))
is investigated under considerably simple assumptions on A and F. Here X is a Banach space, the operator A is m-accretive, -A generates a compact semigroup, adn F is a Carathéodory mapping. Two examples concerning nonlinear parabolic equations are presented.
Description
Keywords
Periodic solutions, Evolution equation of parabolic type
Citation
Voisei, M. D. (2005). Periodic trajectories for evolution equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2005</i>(103), pp. 1-8.
Rights
Attribution 4.0 International