On the solvability of a higher-order semilinear ODE
The existence of at least one or two nontrivial solutions to a general higherorder boundary value problem is established by using variational tools. Two of the results are obtained without any asymptotic behaviour at infinity of potential F of the nonlinear term f , which is a key condition in the a...
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 - ordinárius |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.57 |
| Online Access: | http://acta.bibl.u-szeged.hu/88859 |
| Tartalmi kivonat: | The existence of at least one or two nontrivial solutions to a general higherorder boundary value problem is established by using variational tools. Two of the results are obtained without any asymptotic behaviour at infinity of potential F of the nonlinear term f , which is a key condition in the available literature, when applying critical point theorems. Moreover, F may change sign. The last result is stated when the nonlinearity has asymptotic behaviour at both infinity and zero. |
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| Terjedelem/Fizikai jellemzők: | 17 |
| ISSN: | 1417-3875 |