Solvability of generalized third-order coupled systems with two-point boundary conditions
In this paper we consider the nonlinear third-order coupled system composed by the differential equations. We remark that the nonlinearities can depend on all derivatives of both unknown functions, which is new in the literature, as far as we know. This is due to an adequate auxiliary integral probl...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Differenciálegyenlet - nemlineáris |
| doi: | 10.14232/actasm-017-785-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/56934 |
| Tartalmi kivonat: | In this paper we consider the nonlinear third-order coupled system composed by the differential equations. We remark that the nonlinearities can depend on all derivatives of both unknown functions, which is new in the literature, as far as we know. This is due to an adequate auxiliary integral problem with a truncature, applying lower and upper solutions method with bounded perturbations. The main theorem is an existence and localization result, which provides some qualitative data on the system solution, such as, sign, variation, bounds, etc., as it can be seen in the example. |
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| Terjedelem/Fizikai jellemzők: | 659-672 |
| ISSN: | 0001-6969 |