On Oleck-Opial-Beesack-Troy integro-differential inequalities
| dc.contributor.author | Bravyi, Evgeniy I. | |
| dc.contributor.author | Gusarenko, Sergey S. | |
| dc.date.accessioned | 2021-04-05T14:54:55Z | |
| dc.date.available | 2021-04-05T14:54:55Z | |
| dc.date.issued | 2004-01-02 | |
| dc.description.abstract | We obtain necessary and sufficient conditions for the integro-differential inequality ∫bα ẋ2(t) dt ≥ γ ∫bα q(t) |ẋ(t)x(t) | dt to be valid with one of the three boundary conditions: x(α) = 0, or x(b) = 0, or x(α) = x(b) = 0. For a power functions q, the best constants γ are found. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bravyi, E. I., & Gusarenko, S. S. (2004). On Oleck-Opial-Beesack-Troy integro-differential inequalities. <i>Electronic Journal of Differential Equations, 2004</i>(4), pp. 1-24. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13323 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Integral inequalities | |
| dc.subject | Integro-differential inequalities | |
| dc.subject | Functional differential equations | |
| dc.subject | Variational problems | |
| dc.title | On Oleck-Opial-Beesack-Troy integro-differential inequalities | |
| dc.type | Article |