Nonlocal Sturm-Liouville problems with integral terms in the boundary conditions
| dc.contributor.author | Kandemir, Mustafa | |
| dc.contributor.author | Mukhtarov, Oktay | |
| dc.date.accessioned | 2022-03-16T19:19:15Z | |
| dc.date.available | 2022-03-16T19:19:15Z | |
| dc.date.issued | 2017-01-12 | |
| dc.description.abstract | We consider a new type Sturm-Liouville problems whose main feature is the nature of boundary conditions. Namely, we study the nonhomogeneous Sturm-Liouville equation. p(x)u″(x) + (q(x) - λ)u = ƒ(x) on two disjoint intervals [-1, 0) and (0, 1], subject to the nonlocal boundary-transmission conditions αku(mk) (-1) + βku(mk) (-0) + ηku(mk) (+0) + γku(mk) (1) + ∑nkj=1 δkju(mk) (xkj) + ∑2v=1 ∑mkj=0 ∫ΩvK kvj(t)u(j) (t)dt = ƒk, k = 1, 2, 3, 4. where Ω1 ≔ [-1, 0), Ω2 ≔ (0, 1] and x kj ∈ (-1, 0) ∪ (0, 1) are internal points. By using our own approaches we establish such important properties as Fredholmness, coercive solvability and isomorphism with respect to the spectral parameter λ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kandemir, M., & Mukhtarov, O. S. (2017). Nonlocal Sturm-Liouville problems with integral terms in the boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(11), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15516 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Sturm-Liouville problem | |
| dc.subject | nonlocal boundary conditions | |
| dc.subject | coercive | |
| dc.subject | solvability | |
| dc.subject | fredholmness | |
| dc.title | Nonlocal Sturm-Liouville problems with integral terms in the boundary conditions | |
| dc.type | Article |