| Title:
|
On some discrete inequalities in two independent variables (English) |
| Author:
|
Kim, Young-Ho |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
113-124 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation. (English) |
| Keyword:
|
discrete inequality |
| Keyword:
|
two independent variables |
| Keyword:
|
difference equations |
| Keyword:
|
subadditive and submultiplicative functions |
| MSC:
|
26D15 |
| MSC:
|
39A10 |
| idZBL:
|
Zbl 1081.26015 |
| idMR:
|
MR2121659 |
| . |
| Date available:
|
2009-09-24T11:21:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127962 |
| . |
| Reference:
|
[1] D. Bainov and P. Simeonov: Integral Inequalities and Applications.Kluwer Academic Publishers, Dordrecht, 1992. MR 1171448 |
| Reference:
|
[2] S. S. Dragomir: On Gronwall type lemmas and applications.Monografii Matematics, Univ. Timişoara No. 29, 1987. MR 0939807 |
| Reference:
|
[3] A. Mate and P. Neval: Sublinear perturbations of the differential equation $y^{(n)} = 0$ and of the analogous difference equation.J. Differential Equations 52 (1984), 234–257. MR 0748241, 10.1016/0022-0396(84)90041-X |
| Reference:
|
[4] D. S. Mitrinović, J. E. Pečarić and A. M. Fink: Inequalities Involving Functions and Their Integrals and Derivatives.Kluwer Academic Publishers, Dordrecht-Boston-London, 1991. MR 1190927 |
| Reference:
|
[5] B. G. Pachpatte: On certain new finite difference inequalities.Indian J. Pure Appl. Math. 24 (1993), 373–384. Zbl 0788.26014, MR 1229845 |
| Reference:
|
[6] B. G. Pachpatte: Some new finite difference inequalities.Computer Math. Appl. 28 (1994), 227–241. Zbl 0809.26009, MR 1284238, 10.1016/0898-1221(94)00111-1 |
| Reference:
|
[7] B. G. Pachpatte: On some new discrete inequalities useful in the theory of partial finite difference equations.Ann. Differential Equations 12 (1996), 1–12. MR 1394009 |
| Reference:
|
[8] B. G. Pachpatte: On some fundamental integral inequalities and their discrete analogues.J. Inequal. Pure Appl. Math. 2 (2001), Paper No. 15. Zbl 0989.26011, MR 1873855 |
| Reference:
|
[9] B. G. Pachpatte: On some finite difference inequalities in two independent variables.J. Math. Anal. Appl. 254 (2001), 587–598. Zbl 1049.26017, MR 1805526, 10.1006/jmaa.2000.7245 |
| . |
