TY  - JOUR
ID  - Diblík2006
LB  - Diblík2006
AU  - Diblík, Josef
AU  - Růžičková, Miroslava
AU  - Václavíková, Barbora
TI  - A retract principle on discrete time scales
ST  - A retract principle on discrete time scales
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 3
SP  - 445
EP  - 455
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.3.445
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.3.445
AB  - In this paper we discuss asymptotic behavior of solutions of a class of scalar discrete equations on discrete real time scales. A powerful tool for the investigation of various qualitative problems in the theory of ordinary differential equations as well as delayed differential equations is the retraction method. The development of this method is discussed in the case of the equation mentioned above. Conditions for the existence of a solution with its graph remaining in a predefined set are formulated. Examples are given to illustrate the results obtained.
KW  - discrete equation
KW  - discrete time scale
KW  - asymptotic behavior of solution
KW  - retract
KW  - retraction
SN  - 1232-9274
ER  -