| Title:
|
Volterra summation equations and second order difference equations (English) |
| Author:
|
Morchało, Jarosław |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
41-56 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The asymptotic and oscillatory behavior of solutions of Volterra summation equation and second order linear difference equation are studied. (English) |
| Keyword:
|
Volterra summation equations |
| Keyword:
|
second order difference equations |
| MSC:
|
39A12 |
| MSC:
|
45E99 |
| idZBL:
|
Zbl 1224.39004 |
| idMR:
|
MR2643354 |
| DOI:
|
10.21136/MB.2010.140681 |
| . |
| Date available:
|
2010-07-20T18:21:20Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140681 |
| . |
| Reference:
|
[1] Agarwal, A. P.: Difference Equations and Inequalities.Marcel Dekker, New York (1992). Zbl 0925.39001, MR 1155840 |
| Reference:
|
[2] Agarwal, A. P., Wong, P. I. Y.: Advanced Topics in Difference Equations.Kluwer, Dordrecht (1997). Zbl 0878.39001 |
| Reference:
|
[3] Agarwal, A. P., Domoshnitsky, A.: Nonoscillation of the first order differential equations with unbounded memory for stabilization by control signal.Appl. Math. Comput. 173 (2006), 177-195. MR 2203380, 10.1016/j.amc.2005.02.062 |
| Reference:
|
[4] Domoshnitsky, A., Drakhlin, M., Stavroulakis, I. P.: Distribution of zeros of integrofunctional equations.Math. Comput. Modelling 42 (2005), 193-205. MR 2162397, 10.1016/j.mcm.2004.02.043 |
| Reference:
|
[5] Graef, J. R., Thandapani, E.: Oscillatory behavior of solutions of Volterra summation equations.Appl. Math. Lett. 12 (1999), 79-84. MR 1750064, 10.1016/S0893-9659(99)00105-6 |
| Reference:
|
[6] Morchało, J.: Asymptotic properties of solutions of discrete Volterra equations.Math. Slovaca 52 (2002), 47-56. MR 1901013 |
| Reference:
|
[7] Morchało, J., Szmanda, A.: Asymptotic properties of solutions of some Volterra difference equations and second-order difference equations.Nonlinear Anal. 63 (2005), 801-811. Zbl 1224.39022, MR 2643354, 10.1016/j.na.2005.02.007 |
| Reference:
|
[8] Polniakowski, Z.: Polynomial Hausdorff transformations.Annales Polonici Mathematici 5 (1958), 1-24. Zbl 0082.27401, MR 0100742, 10.4064/ap-5-1-1-24 |
| Reference:
|
[9] Thandapani, E., Lalli, B. S.: Asymptotic behavior and oscillations of difference equations of Volterra type.Appl. Math. Lett. 7 (1994), 89-93. MR 1349901, 10.1016/0893-9659(94)90060-4 |
| Reference:
|
[10] Thandapani, E., Ravi, K.: On the oscillation of Volterra summation equations.Math. Bohem. 126 (2001), 41-52. Zbl 0982.39005, MR 1825856 |
| . |
