On the instability of nonlinear functional differential equations of fifth order

Cemil Tunc

Publicado

2017-07-01

On the instability of nonlinear functional differential equations of fifth order

Sobre la inestabilidad de ecuaciones diferenciales funcionales no lineales de orden cinco

Palabras clave:

Non-existence of periodic solutions, Lyapunov functional, non- linear, differential equation, delay, fifth order (en)
No existencia de soluciones periódicas, funcional Lyapunov, no linealidad, ecuaciones diferenciales, atraso, orden cinco (es)

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Autores/as

Cemil Tunc Van Yuzuncu Yil University

Resumen (en)
Resumen (es)

The author gives sufficient conditions for non-existence of periodic solutions of two higher order nonlinear delay differential systems. Our technical approach is based on the construction of two suitable Lyapunov type functionals. An example is given to illustrate the obtained results. The main results here improve recent results found on the topic in the literature from the case of without delay to the delay case.

El autor presenta condiciones suficientes para la existencia de soluciones periódicas de dos ecuaciones diferenciales con retraso de alto orden. El enfoque técnico se fundamenta en la construcción de funcionales de Lyapunov adecuados. Un ejemplo ilustra los resultados obtenidos. El resultado principal presentado en este artículo mejora un resultado reciente en el tema de pasar el caso sin atraso al caso con atraso.

Referencias

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Cómo citar

APA

Tunc, C. (2017). On the instability of nonlinear functional differential equations of fifth order. Boletín de Matemáticas, 24(2), 155–168. https://revistas.unal.edu.co/index.php/bolma/article/view/70886

ACM

[1]

Tunc, C. 2017. On the instability of nonlinear functional differential equations of fifth order. Boletín de Matemáticas. 24, 2 (jul. 2017), 155–168.

ACS

(1)

Tunc, C. On the instability of nonlinear functional differential equations of fifth order. Bol. Matemáticas 2017, 24, 155-168.

ABNT

TUNC, C. On the instability of nonlinear functional differential equations of fifth order. Boletín de Matemáticas, [S. l.], v. 24, n. 2, p. 155–168, 2017. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/70886. Acesso em: 28 dic. 2025.

Chicago

Tunc, Cemil. 2017. «On the instability of nonlinear functional differential equations of fifth order». Boletín De Matemáticas 24 (2):155-68. https://revistas.unal.edu.co/index.php/bolma/article/view/70886.

Harvard

Tunc, C. (2017) «On the instability of nonlinear functional differential equations of fifth order», Boletín de Matemáticas, 24(2), pp. 155–168. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/70886 (Accedido: 28 diciembre 2025).

IEEE

[1]

C. Tunc, «On the instability of nonlinear functional differential equations of fifth order», Bol. Matemáticas, vol. 24, n.º 2, pp. 155–168, jul. 2017.

MLA

Tunc, C. «On the instability of nonlinear functional differential equations of fifth order». Boletín de Matemáticas, vol. 24, n.º 2, julio de 2017, pp. 155-68, https://revistas.unal.edu.co/index.php/bolma/article/view/70886.

Turabian

Tunc, Cemil. «On the instability of nonlinear functional differential equations of fifth order». Boletín de Matemáticas 24, no. 2 (julio 1, 2017): 155–168. Accedido diciembre 28, 2025. https://revistas.unal.edu.co/index.php/bolma/article/view/70886.

Vancouver

1.

Tunc C. On the instability of nonlinear functional differential equations of fifth order. Bol. Matemáticas [Internet]. 1 de julio de 2017 [citado 28 de diciembre de 2025];24(2):155-68. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/70886