Extensions of Gronwall’s inequality with quadratic growth terms and applications
We obtain some new Gronwall type inequalities where, instead of linear growth assumptions, we allow quadratic (or more) growth provided some additional conditions are satisfied. Applications are made to both local and nonlocal boundary value problems for some second order ordinary differential equat...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Másodrendű differenciálegyenlet, Egyenlőtlenség, Differenciálegyenlet - határérték probléma |
| doi: | 10.14232/ejqtde.2018.1.61 |
| Online Access: | http://acta.bibl.u-szeged.hu/58124 |
| Tartalmi kivonat: | We obtain some new Gronwall type inequalities where, instead of linear growth assumptions, we allow quadratic (or more) growth provided some additional conditions are satisfied. Applications are made to both local and nonlocal boundary value problems for some second order ordinary differential equations which have quadratic growth in the derivative terms. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 11-12 |
| ISSN: | 1417-3875 |