TY  - JOUR
ID  - Mikołajski2006
LB  - Mikołajski2006
AU  - Mikołajski, Jarosław
AU  - Schmeidel, Ewa
TI  - Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients)
ST  - Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients)
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 2
SP  - 343
EP  - 349
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.2.343
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.2.343
AB  - Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation. We show that these equations (differential and recurrence) can have solutions with different properties concerning oscillation and boundedness. Especially the numbers of suitable types of solutions taken out from fundamental sets are presented. We give conditions under which the asymptotic properties considered are the same for the both equations.
KW  - differential equation
KW  - recurrence
KW  - linear
KW  - third order
KW  - oscillatory solution
KW  - bounded solution
SN  - 1232-9274
ER  -