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- Title
On the qualitative behaviors of a functional differential equation of second order.
- Authors
Tunç, Cemil
- Abstract
The aim of this paper is first to investigate the stability of the zero solution to a new Liénard type equation with multiple variable delays by two different methods. The methods to be used in the proofs involve the Lyapunov-Krasovskiĭ functional approach and the fixed point technique under an exponentially weighted metric, respectively. We make a comparison between the applications of these methods with the established conditions on the same stability problems. Then, we obtain three new results for uniformly stability and boundedness/uniformly boundedness of the solutions to the considered equation by the Lyapunov-Krasovskiĭ functional approach. An example is given to verify the results obtained by the Lyapunov-Krasovskiĭ functional approach. Our results complement and improve some recent ones in the literature.
- Subjects
NUMERICAL solutions to functional differential equations; MATHEMATICAL variables; LYAPUNOV functions; STABILITY theory; FUNCTIONAL differential equations; FIXED point theory
- Publication
Applications & Applied Mathematics, 2017, Vol 12, Issue 2, p813
- ISSN
1932-9466
- Publication type
Article