tailieunhanh - Báo cáo hóa học: "ON LINEAR VOLTERRA DIFFERENCE EQUATIONS WITH INFINITE DELAY"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ON LINEAR VOLTERRA DIFFERENCE EQUATIONS WITH INFINITE DELAY | ON LINEAR VOLTERRA DIFFERENCE EQUATIONS WITH INFINITE DELAY CH. G. PHILOS AND I. K. PURNARAS Received 2 February 2005 Revised 30 June 2005 Accepted 6 July 2005 Linear neutral and especially non-neutral Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation. Copyright 2006 Ch. G. Philos and I. K. Purnaras. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Preliminary notes Motivated by the old but significant papers by Driver 3 and Driver et al. 5 a number of relevant papers has recently appeared in the literature. See Frasson and Verduyn Lunel 10 Graef and Qian 11 Kordonis et al. 16 Kordonis and Philos 19 Kordonis et al. 21 Philos 26 and Philos and Purnaras 28 30 35 33 36 . The results in 10 11 16 26 28 30 35 36 concern the large time behavior of the solutions of several classes of linear autonomous or periodic delay or neutral delay differential equations while those in 19 21 33 are dealing with the behavior of solutions of some linear neutral or nonneutral integrodifferential equations with unbounded delay. Note that the method used in 10 is based on resolvent computations and Dunford calculus while the technique applied in the rest of the papers mentioned above is very simple and is essentially based on elementary calculus. We also notice that the article 10 is very interesting as well as comprehensive. Along with the work mentioned above for the continuous case analogous investigations have recently been made for the behavior of the solutions of some classes of linear autonomous or periodic delay or neutral delay difference equations for the behavior of the solutions of certain linear delay difference equations with