Existence of positive solutions for nonlinear dynamic systems with a parameter on a measure chain
| dc.contributor.author | Ma, Shuang-Hong | |
| dc.contributor.author | Sun, Jian-Ping | |
| dc.contributor.author | Wang, Da-Bin | |
| dc.date.accessioned | 2021-08-06T20:20:59Z | |
| dc.date.available | 2021-08-06T20:20:59Z | |
| dc.date.issued | 2007-05-15 | |
| dc.description.abstract | In this paper, we consider the following dynamic system with parameter on a measure chain T, uiΔΔ(t) + λhi(t)ƒi(u1(σ(t)), u2(σ(t)),..., un(σ(t))) = 0, t ∈ [ɑ, b], ɑui(ɑ) - βu1Δ(ɑ) = 0, γui(σ(b)) + δuiΔ (σ(b)) = 0, where i = 1, 2,..., n. Using fixed point index theory, we find sufficient conditions the existence of positive solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ma, S. H., Sun, J. P., & Wang, D. B. (2007). Existence of positive solutions for nonlinear dynamic systems with a parameter on a measure chain. <i>Electronic Journal of Differential Equations, 2007</i>(73), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14235 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Dynamic system | |
| dc.subject | Positive solution | |
| dc.subject | Cone | |
| dc.subject | Fixed point | |
| dc.subject | Measure chain | |
| dc.title | Existence of positive solutions for nonlinear dynamic systems with a parameter on a measure chain | |
| dc.type | Article |