not autonomous or sovereign, ruled by external forces
Examples of 'nonautonomous' in a sentence
nonautonomous
We consider a class of linear nonautonomous parabolic integrodifferential equations.
Michael Gil' 2016, 'Stability and Boundedness of Solutions to Nonautonomous Parabolic IntegrodifferentialEquations', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2016/2468458. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We explore the nonautonomous fourth-order differential equation which has important applications in materials science.
Y. L. Yeun 2013, 'Heteroclinic Solutions for Nonautonomous EFK Equations', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2013/138623. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We first give sufficient conditions for the permanence of nonautonomous discrete ratio-dependent predator-prey model.
Hai-Feng Huo, Wan-Tong Li 2005, 'Permanence and global stability of positive solutions of a nonautonomous discreteratio-dependent predator-prey model', Discrete Dynamics in Nature and Societyhttp://dx.doi.org/10.1155/DDNS.2005.135. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper, we study a system governed by impulsive semilinear nonautonomous differential equations.
Xiaoming Wang, Muhammad Arif, Akbar Zada 2019, 'β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System',Symmetryhttps://www.mdpi.com/2073-8994/11/2/231. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
By this method, new explicit stability criteria for linear nonautonomous systems are derived.
Rigoberto Medina 2014, 'Exponential Stability Criteria for Nonautonomous Difference Systems', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/2014/206343. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Nonautonomous long-short wave equations with quasiperiodic forces are studied.
Hongyong Cui, Jie Xin 2013, 'Uniform Attractor and Approximate Inertial Manifolds for Nonautonomous Long-ShortWave Equations', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2013/830715. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We study the existence of periodic solutions for second-order nonautonomous dynamical systems.
Martin Schechter 2006, 'Periodic solutions of second-order nonautonomous dynamical systems', Boundary Value Problemshttp://dx.doi.org/10.1155/BVP/2006/25104. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In the paper, we consider local aspects of the entropy of nonautonomous dynamical systems.
Ewa Korczak-Kubiak, Anna Loranty, Ryszard J. Pawlak 2018, 'On Points Focusing Entropy', Entropyhttp://www.mdpi.com/1099-4300/20/2/128. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments.
Cemil Tunç, Melek Gözen 2013, 'Stability and Uniform Boundedness in Multidelay Functional Differential Equationsof Third Order', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2013/248717. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This paper investigates a new nonautonomous impulsive stochastic predator-prey system with the omnivorous predator.
Xinzhu Meng, Xiaohong Wang 2016, 'Stochastic Predator-Prey System Subject to Lévy Jumps', Discrete Dynamics in Nature and Societyhttp://dx.doi.org/10.1155/2016/5749892. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)