Leighton-Wintner type oscillation criteria for second-order differential equations with p(t)-Laplacian
This paper deals with the oscillation problems for nonlinear differential equations of the form (r(t)|x p(t)−2x ′ + c(t)f(x) = 0 involving p(t)-Laplacian. The Leighton–Wintner type oscillation criteria are established without any conditions on the limit of p(t). In addition, we discuss the applicati...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - másodrendű, p(t)-Laplace-függvény, Differenciálegyenlet - kvázilineáris, Emden-Fowler differenciálegyenlet, Riccati-technika |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.19 |
| Online Access: | http://acta.bibl.u-szeged.hu/88821 |
| Tartalmi kivonat: | This paper deals with the oscillation problems for nonlinear differential equations of the form (r(t)|x p(t)−2x ′ + c(t)f(x) = 0 involving p(t)-Laplacian. The Leighton–Wintner type oscillation criteria are established without any conditions on the limit of p(t). In addition, we discuss the applications to partial differential equations. Some examples are given to illustrate our results. |
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| Terjedelem/Fizikai jellemzők: | 9 |
| ISSN: | 1417-3875 |