Exponential stability of solutions to nonlinear time-delay systems of neutral type
| dc.contributor.author | Demidenko, Gennadii | |
| dc.contributor.author | Matveeva, Inessa | |
| dc.date.accessioned | 2023-05-30T14:10:16Z | |
| dc.date.available | 2023-05-30T14:10:16Z | |
| dc.date.issued | 2016-01-11 | |
| dc.description.abstract | We consider a nonlinear time-delay system of neutral equations with constant coefficients in the linear terms d/dt (y(t) + Dy(t - τ)) = Ay(t) + By(t - τ) + F(t, y(t), y(t - τ)), where ‖F(T, u, v)‖ ≤ q1‖u‖1+ω1 + q2‖v‖1+ω2, q1, q2, ω1, ω2 > 0. We obtain estimates characterizing the exponential decay of solutions at infinity and estimates for attraction sets of the zero solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Demidenko, G., & Matveeva, I. (2016). Exponential stability of solutions to nonlinear time-delay systems of neutral type. <i>Electronic Journal of Differential Equations, 2016</i>(19), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16891 | |
| 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, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Time-delay systems | |
| dc.subject | Neutral equation | |
| dc.subject | Exponential stability | |
| dc.subject | Attraction sets | |
| dc.title | Exponential stability of solutions to nonlinear time-delay systems of neutral type | |
| dc.type | Article |