Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients
| dc.contributor.author | Matveeva, Inessa | |
| dc.date.accessioned | 2021-09-21T17:44:13Z | |
| dc.date.available | 2021-09-21T17:44:13Z | |
| dc.date.issued | 2020-02-14 | |
| dc.description.abstract | We consider a class of nonlinear time-varying delay systems of neutral type differential equations with periodic coefficients in the linear terms, d/dt y(t) = A(t)y(t) + B(t)y(t - τ(t)) + C(t) d/dt y(t - τ(t)) + F(t, y(t), y(t - τ(t)), d/dt y(t - τ(t))), where A(t), B(t), C(t) are T-periodic matrices, and ∥F(t, u, v, w)∥ ≤ q1∥u∥ + q2∥v∥ + q3∥w∥, q1, q2, q3 ≥ 0, t > 0. We obtain conditions for the exponential stability of the zero solution and estimates for the exponential decay of the solutions at infinity. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Matveeva, I. I. (2020). Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients. <i>Electronic Journal of Differential Equations, 2020</i>(20), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14524 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | time-varying delay equation | |
| dc.subject | neutral equation | |
| dc.subject | periodic coefficient | |
| dc.subject | exponential stability | |
| dc.title | Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients | |
| dc.type | Article |