Regularized cosine existence and uniqueness families for second order abstract Cauchy problems

@article{JizhouZhang2002,
abstract = {Let $C_\{i\}$ (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.},
author = {Jizhou Zhang},
journal = {Studia Mathematica},
keywords = {regularized cosine existence and uniqueness family; regularized cosine function; Cauchy problem; second-order abstract Cauchy problems; Hille-Yosida type sufficient conditions; exponentially bounded case},
language = {eng},
number = {2},
pages = {131-145},
title = {Regularized cosine existence and uniqueness families for second order abstract Cauchy problems},
url = {http://eudml.org/doc/284585},
volume = {152},
year = {2002},
}

TY - JOUR
AU - Jizhou Zhang
TI - Regularized cosine existence and uniqueness families for second order abstract Cauchy problems
JO - Studia Mathematica
PY - 2002
VL - 152
IS - 2
SP - 131
EP - 145
AB - Let $C_{i}$ (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.
LA - eng
KW - regularized cosine existence and uniqueness family; regularized cosine function; Cauchy problem; second-order abstract Cauchy problems; Hille-Yosida type sufficient conditions; exponentially bounded case
UR - http://eudml.org/doc/284585
ER -