Geodesic
Regularized cosine existence and uniqueness families for second order abstract Cauchy problems
Jizhou Zhang1
1 Department of Mathematics Shanghai Normal University Shanghai 200234, People's Republic of China
Studia Mathematica, Tome 152 (2002) no. 2, pp. 131-145

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let ${\bf C}_i$ $(i=1,2)$ be two arbitrary bounded operators on a Banach space. We study $({\bf C}_1, {\bf C}_2)$-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.
DOI : 10.4064/sm152-2-3
Keywords: arbitrary bounded operators banach space study regularized cosine existence uniqueness families their relationship second order abstract cauchy problems prove their basic properties addition hille yosida type sufficient conditions given exponentially bounded

Jizhou Zhang 1

1 Department of Mathematics Shanghai Normal University Shanghai 200234, People's Republic of China 
@article{10_4064_sm152_2_3,
     author = {Jizhou Zhang},
     title = {Regularized cosine existence
  and uniqueness families for
  second order abstract {Cauchy} problems},
     journal = {Studia Mathematica},
     pages = {131--145},
     publisher = {mathdoc},
     volume = {152},
     number = {2},
     year = {2002},
     doi = {10.4064/sm152-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm152-2-3/}
}
TY  - JOUR
AU  - Jizhou Zhang
TI  - Regularized cosine existence
  and uniqueness families for
  second order abstract Cauchy problems
JO  - Studia Mathematica
PY  - 2002
SP  - 131
EP  - 145
VL  - 152
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm152-2-3/
DO  - 10.4064/sm152-2-3
LA  - en
ID  - 10_4064_sm152_2_3
ER  - 
%0 Journal Article
%A Jizhou Zhang
%T Regularized cosine existence
  and uniqueness families for
  second order abstract Cauchy problems
%J Studia Mathematica
%D 2002
%P 131-145
%V 152
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm152-2-3/
%R 10.4064/sm152-2-3
%G en
%F 10_4064_sm152_2_3
Jizhou Zhang. Regularized cosine existence
  and uniqueness families for
  second order abstract Cauchy problems. Studia Mathematica, Tome 152 (2002) no. 2, pp. 131-145. doi: 10.4064/sm152-2-3

Cité par Sources :