Instability of solutions for nonlinear functional differential equations of fifth order with n-deviating arguments
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TUNC, Cemil. Instability of solutions for nonlinear functional differential equations of fifth order with n-deviating arguments. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 1(68), pp. 3-14. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(68) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322

Instability of solutions for nonlinear functional differential equations of fifth order with n-deviating arguments

Pag. 3-14

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Disponibil în IBN: 7 decembrie 2013


Rezumat

In this paper, we study the instability properties of solutions of a class of nonlinear functional differential equations of the fifth order with n-constant deviating arguments. By using the Lyapunov-Krasovskii functional approach, we obtain some interesting sufficient conditions ensuring that the zero solution of the equations is unstable.

Cuvinte-cheie
Instability,

Lyapunov-Krasovskii functional, differential equation, fifth order, ndeviating arguments