Stability results for nonlinear functional differential equations using fixed point methods
Publication date
2018-04-01
Authors
Chen, Guiling
Li, Dingshi
van Gaans, Onno
Verduyn Lunel, Sjoerd
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Document Type
Article
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taverne
Abstract
We present new conditions for stability of the zero solution for three distinct classes of scalar nonlinear delay differential equations. Our approach is based on fixed point methods and has the advantage that our conditions neither require boundedness of delays nor fixed sign conditions on the coefficient functions. Our work extends and improves a number of recent stability results for nonlinear functional differential equations in a unified framework. A number of examples are given to illustrate our main results.
Keywords
(neutral) integro-differential equation, Asymptotic stability, Contraction mapping principle, Fixed point theory, Variable delay, Taverne, General Mathematics
Citation
Chen, G, Li, D, van Gaans, O & Verduyn Lunel, S 2018, 'Stability results for nonlinear functional differential equations using fixed point methods', Indagationes Mathematicae, vol. 29, no. 2, pp. 671-686. https://doi.org/10.1016/j.indag.2017.11.004