Initial data generating bounded solutions of linear discrete equations

• Autorzy: Bastinec J. , Diblik J. , Ruzickova M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

linear discrete equation; bounded solutions; initial data

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 3
• Strony: 395--406
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Bastinec J.

autor

Diblik J.

autor

Ruzickova M.

• Brno University of Technology, Department of Mathematics, Faculty of Electrical Engineering and Communication, Technická 8, 616 00 Brno, the Czech Republic,

Bibliografia

• [1] J. Diblik, Asymptotic behaviour of solutions of discrete equations, Funct. Differ. Equ., 11 (2004), 37-48.
• [2] W. Golda, J. Werbowski, Oscillation of linear functional equations of the second order, Funkc. Ekvac. 37 (1994), 221-227.
• [3] I. Gyori, M. Pituk, Asympotic formulae for the solutions of a linear delay difference equation, J. Math. Anal. Appl. 195 (1995), 376-392.
• [4] I. Gyori, M. Pituk, Comparison theorems and asymptotic equilibrium for delay differential and difference equations, Dyn. Systems and Appl. 5 (1996), 277-302.
• [5] M. Migda, J. Migda, Asympotic behaviour of solutions of difference equations of second order, Demonstr. Math. XXXII (1999), 767-773.