Positive solutions for second-order differential equations with singularities and separated integral boundary conditions
We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The result ensures existence of a positive soluti...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Másodrendű differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.75 |
| Online Access: | http://acta.bibl.u-szeged.hu/73636 |
| LEADER | 01536nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta73636 | ||
| 005 | 20211105140533.0 | ||
| 008 | 211105s2020 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.75 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Zhang Yanlei | |
| 245 | 1 | 0 | |a Positive solutions for second-order differential equations with singularities and separated integral boundary conditions |h [elektronikus dokumentum] / |c Zhang Yanlei |
| 260 | |c 2020 | ||
| 300 | |a 12 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The result ensures existence of a positive solution when the parameters are in certain ranges. The proof depends on general properties of the associated Green’s function and the Krasnosel’skii–Guo fixed point theorem applied to a perturbed Hammerstein integral operator. Both numerical and analytical examples are constructed to illustrate applications of the theorem to a group of equations. The result generalizes previous work. | |
| 695 | |a Másodrendű differenciálegyenlet | ||
| 700 | 0 | 1 | |a Abdella Kenzu |e aut |
| 700 | 0 | 1 | |a Feng Wenying |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73636/1/ejqtde_2020_075.pdf |z Dokumentum-elérés |