Periodic solutions of degenerate differential equations in vector-valued function spaces

Carlos Lizama, and Rodrigo Ponce. "Periodic solutions of degenerate differential equations in vector-valued function spaces." Studia Mathematica 202.1 (2011): 49-63. <http://eudml.org/doc/285691>.

@article{CarlosLizama2011,
abstract = {Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces.},
author = {Carlos Lizama, Rodrigo Ponce},
journal = {Studia Mathematica},
keywords = {operator-valued Fourier multiplier theorems},
language = {eng},
number = {1},
pages = {49-63},
title = {Periodic solutions of degenerate differential equations in vector-valued function spaces},
url = {http://eudml.org/doc/285691},
volume = {202},
year = {2011},
}

TY - JOUR
AU - Carlos Lizama
AU - Rodrigo Ponce
TI - Periodic solutions of degenerate differential equations in vector-valued function spaces
JO - Studia Mathematica
PY - 2011
VL - 202
IS - 1
SP - 49
EP - 63
AB - Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces.
LA - eng
KW - operator-valued Fourier multiplier theorems
UR - http://eudml.org/doc/285691
ER -