Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients

Yener ALTUN (Van Yüzüncü Yıl Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümü, Van, Türkiye)
Turkish Journal of Mathematics
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Yıl: 2023 Cilt: 47 Sayı: 5 Sayfa Aralığı: 1508 - 1527 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3444 İndeks Tarihi: 14-03-2024

Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients

Öz:
In this present study, we pay attention to a class of nonlinear neutral type systems (NNSs) with periodic coefficients and construct some assumptions guaranteeing the exponential stability (ES) of the trivial solutions of the system considered. To get specific conditions guaranteeing the ES, we use a modified Lyapunov functional. In conclusion, we get some estimates for the exponential decay of the solutions at infinity with the constructed sufficient conditions. We give two examples to demonstrate the applicability of the results obtained with the constructed assumptions.
Anahtar Kelime: ES exponential decay Lyapunov functional NNS periodic coefficient

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA ALTUN Y (2023). Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. , 1508 - 1527. 10.55730/1300-0098.3444
Chicago ALTUN Yener Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. (2023): 1508 - 1527. 10.55730/1300-0098.3444
MLA ALTUN Yener Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. , 2023, ss.1508 - 1527. 10.55730/1300-0098.3444
AMA ALTUN Y Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. . 2023; 1508 - 1527. 10.55730/1300-0098.3444
Vancouver ALTUN Y Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. . 2023; 1508 - 1527. 10.55730/1300-0098.3444
IEEE ALTUN Y "Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients." , ss.1508 - 1527, 2023. 10.55730/1300-0098.3444
ISNAD ALTUN, Yener. "Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients". (2023), 1508-1527. https://doi.org/10.55730/1300-0098.3444
APA ALTUN Y (2023). Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. Turkish Journal of Mathematics, 47(5), 1508 - 1527. 10.55730/1300-0098.3444
Chicago ALTUN Yener Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. Turkish Journal of Mathematics 47, no.5 (2023): 1508 - 1527. 10.55730/1300-0098.3444
MLA ALTUN Yener Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. Turkish Journal of Mathematics, vol.47, no.5, 2023, ss.1508 - 1527. 10.55730/1300-0098.3444
AMA ALTUN Y Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. Turkish Journal of Mathematics. 2023; 47(5): 1508 - 1527. 10.55730/1300-0098.3444
Vancouver ALTUN Y Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients. Turkish Journal of Mathematics. 2023; 47(5): 1508 - 1527. 10.55730/1300-0098.3444
IEEE ALTUN Y "Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients." Turkish Journal of Mathematics, 47, ss.1508 - 1527, 2023. 10.55730/1300-0098.3444
ISNAD ALTUN, Yener. "Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients". Turkish Journal of Mathematics 47/5 (2023), 1508-1527. https://doi.org/10.55730/1300-0098.3444
Sayfa Oluşturulma Tarihi
24-04-2024 8:44

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