Stability of delay difference equations in Banach spaces. (English) Zbl 0996.39004

Cheng, Sui Sun; Gil’, Michael I.

Ann. Differ. Equations 17, No. 4, 307-317 (2001).

The authors derive stability criteria for delay difference equations in Banach spaces. Furthermore, partial difference equations which model diffusion and reaction processes are also included in order to illustrate the obtained results.

Reviewer: Mingshu Peng (Beijing)

MSC:

39A11

Stability of difference equations (MSC2000)

Keywords:

stability; delay difference equations; Banach spaces; partial difference equations; diffusion; reaction