Singular periodic problem for nonlinear ordinary differential equations with ϕ-Laplacian
| dc.contributor.author | Polasek, Vladimir | |
| dc.contributor.author | Rachunkova, Irena | |
| dc.date.accessioned | 2021-07-15T17:34:56Z | |
| dc.date.available | 2021-07-15T17:34:56Z | |
| dc.date.issued | 2006-03-09 | |
| dc.description.abstract | We investigate the singular periodic boundary-value problem with ϕ-Laplacian, (ϕ(u′))′ = ƒ(t, u, u′), u(0) = u(T), u′(0) = u′(T), where ϕ is an increasing homeomorphism, ϕ(ℝ) = ℝ, ϕ(0) = 0. We assume that ƒ satisfies the Carathéodory conditions on each set [α, b] ⊂ (0, T) and ƒ does not satisfy the Carathéodory conditions on [0, T] x ℝ2, which means that ƒ has time singularities at t = 0, t = T. We provide sufficient conditions for the existence of solutions to the above problem belonging to C1 [0, T]. We also find conditions which guarantee the existence of a sign-changing solution to the problem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Polásek, V., & Rachunková, I. (2006). Singular periodic problem for nonlinear ordinary differential equations with ϕ-Laplacian. <i>Electronic Journal of Differential Equations, 2006</i>(27), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13900 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Singular periodic problem | |
| dc.subject | ϕ-Laplacian | |
| dc.subject | Smooth sign-changing solutions | |
| dc.subject | Lower and upper functions | |
| dc.title | Singular periodic problem for nonlinear ordinary differential equations with ϕ-Laplacian | |
| dc.type | Article |