TY  - JOUR
ID  - Baštinec2006
LB  - Baštinec2006
AU  - Baštinec, Jaromír
AU  - Diblík, Josef
AU  - Růžičková, Miroslava
TI  - Initial data generating bounded solutions of linear discrete equations
ST  - Initial data generating bounded solutions of linear discrete equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 3
SP  - 395
EP  - 406
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.3.395
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.3.395
AB  - A lot of papers are devoted to the investigation of the problem of prescribed behavior of solutions of discrete equations and in numerous results sufficient conditions for existence of at least one solution of discrete equations having prescribed asymptotic behavior are indicated. Not so much attention has been paid to the problem of determining corresponding initial data generating such solutions. We fill this gap for the case of linear equations in this paper. The initial data mentioned are constructed with use of two convergent monotone sequences. An illustrative example is considered, too.
KW  - linear discrete equation
KW  - bounded solutions
KW  - initial data
SN  - 1232-9274
ER  -