Infinite semipositone problems with a falling zero and nonlinear boundary conditions
| dc.contributor.author | Mallick, Mohan | |
| dc.contributor.author | Sankar, Lakshmi | |
| dc.contributor.author | Shivaji, Ratnasingham | |
| dc.contributor.author | Sundar, Subbiah | |
| dc.date.accessioned | 2022-03-10T20:38:09Z | |
| dc.date.available | 2022-03-10T20:38:09Z | |
| dc.date.issued | 2018-11-27 | |
| dc.description.abstract | We consider the problem -u″ = h(t) (αu - u2 - c/u α), t ∈ (0, 1), u(0) = 0, u′(1) + g(u(1)) = 0, where α > 0, c ≥ 0, α ∈ (0, 1), h:(0, 1] → (0, ∞) is a continuous function which may be singular at t = 0, but belongs to L1(0, 1) ∩ C1(0, 1), and g:([0, ∞) → [0, ∞) is a continuous function. We discuss existence, uniqueness, and non existence results for positive solutions for certain values of α, b and c. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mallick, M., Sankar, L., Shivaji, R., & Sundar, S. (2018). Infinite semipositone problems with a falling zero and nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(193), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15489 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Infinite semipostione | |
| dc.subject | Exterior domain | |
| dc.subject | Sub and super solutions | |
| dc.subject | Nonlinear boundary conditions | |
| dc.title | Infinite semipositone problems with a falling zero and nonlinear boundary conditions | |
| dc.type | Article |