Stability by Fixed Point Theory for Functional Differential Equations
By T. Burton. 2006
328 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/f04e0fad9932a5b11c3a8121e61c32b2f140e73d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Jiaowan Luo
- Fulai Chen
- Takeshi Taniguchi
- Murat Adõvar
- Youssef N. Raffoul
- T. Burton
- E. Kaufmann
- Rathinasamy Sakthivel
Citations in the corpus
- Fractional differential equations and Lyapunov functionals (2011, background): “In recent years there has been an increasing use of fixed point theory to show various intricate types of qualitative and stability properties [6].”
- Fixed Points and Stability of Stochastic Neutral Partial Differential Equations with Infinite Delays (2009, methodology): “Burton, T.A. 2006.”
- Fixed points and asymptotic stability of nonlinear fractional difference equations (2011, methodology): “Motivated by applying fixed point theory to research stability of integerorder differential equations [8-10, 16, 17, 26], in this paper, we discuss asymptotic stability of nonlinear fractional difference equations by using Schauder fixed point theorem and discrete Arzela-Ascoli’s theorem.”
- EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR DELAY DYNAMIC EQUATIONS (2009, background): “In [6], it was shown by an example that the function Hx(t) = x(t) − x(3)(t) defines a large contraction on the set M1/ √ 3= {”
- Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays (2008, unknown): “Recently, Burton and his co-authors, see the new monograph [2], have applied fixed-point theory to investigate the stability for deterministic systems, which shows that some of these difficulties vanish when applying fixed-point theory.”
- Stability of stochastic partial differential equations with infinite delays (2008, background): “We mention here that, recently, Burton and co-authors, see the new monograph [2], have applied fixed point theory to investigate the stability for deterministic systems, which shows that some of the difficulties posed by Lyapunov’s second method vanish when applying fixed point theory.”