Asymptotic properties of solutions to difference equations of Emden-Fowler type
We study the higher order difference equations of the following form mxn = an f(xσ(n) ) + bn. We are interested in the asymptotic behavior of solutions x of the above equation. Assuming f is a power type function and ∆ myn = bn, we present sufficient conditions that guarantee the existence of a solu...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciaegyenlet |
| doi: | 10.14232/ejqtde.2019.1.77 |
| Online Access: | http://acta.bibl.u-szeged.hu/64721 |
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| 024 | 7 | |a 10.14232/ejqtde.2019.1.77 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Migda Janusz | |
| 245 | 1 | 0 | |a Asymptotic properties of solutions to difference equations of Emden-Fowler type |h [elektronikus dokumentum] / |c Migda Janusz |
| 260 | |c 2019 | ||
| 300 | |a 1-17 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We study the higher order difference equations of the following form mxn = an f(xσ(n) ) + bn. We are interested in the asymptotic behavior of solutions x of the above equation. Assuming f is a power type function and ∆ myn = bn, we present sufficient conditions that guarantee the existence of a solution x such that xn = yn + o(n s where s ≤ 0 is fixed. We establish also conditions under which for a given solution x there exists a sequence y such that ∆ myn = bn and x has the above asymptotic behavior. | |
| 695 | |a Differenciaegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/64721/1/ejqtde_2019_077.pdf |z Dokumentum-elérés |