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Page 5362 of Mathematical Reviews Vol. , Issue 2004g [page]

2004 Mathematical Reviews  
are governed by a coupled system of reaction-diffusion equations with time-delays.  ...  V. (1-NCS; Raleigh, NC Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays. (English summary) Nonlinear Anal. Real World Appl. 5 (2004), no. 1, 91-104.  ... 

Dynamics and Control of Shock Motion in a Near-Isentropic Inlet

Douglas G. MacMartin
2004 Journal of Aircraft  
The dynamics of the inlet and shock are analyzed using a low-order model that captures both the nonlinear shock motion and inlet acoustic propagation.  ...  This model allows parametric exploration of both the potential and limitations of using control to stabilize actively the shock, including actuator authority as a function of location, actuator authority  ...  Timothy Colonius at the California Institute of Technology assisted with the model development.  ... 
doi:10.2514/1.416 fatcat:pkqfxvg6e5dkdjl7xteh7ptyhu

List of contents

2000 Computers and Mathematics with Applications  
Equations with Infinite Delay Nonexistence of Eventually Positive Solutions of a Difference Inequality with Multiple and Variable Delays and Coefficients 713 Some Oscillation Criteria for Difference  ...  Solutions of Permanental Equations Regarding Stochastic MatricesExistenceand Approximation of Solutions for Nonlinear Functional Differential Equations with Periodic Boundary Value Conditions 443 The Convergence  ... 
doi:10.1016/s0898-1221(01)80001-8 fatcat:b6n5j6kyhbgxdhkeivbcov46ze

Page 3955 of Mathematical Reviews Vol. , Issue 2003e [page]

2003 Mathematical Reviews  
control of wave equations with variable coefficients.  ...  In this note, the analytical condition given by Wyler for boundary stabilization of wave equations with variable coefficients is com- pared with the geometrical condition derived by Yao in terms of the  ... 

Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback

Bei Gong, Xiaopeng Zhao
2014 Abstract and Applied Analysis  
We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback.  ...  By the Riemannian geometry methods, we obtain the stability results of the system under suitable assumptions of the bound of the time-varying term and the nonlinearity of the nonlinear term.  ...  Acknowledgments The authors would like to express their deep thanks to Zhen-Hu Ning for bringing conditions (8) and (16)  ... 
doi:10.1155/2014/728760 fatcat:dy7ybld6urh25lugkuh2rmhjva

Complex Boundary Value Problems of Nonlinear Differential Equations 2014

Xinguang Zhang, Yong Hong Wu, Dragoș-Pãtru Covei, Xinan Hao
2014 Abstract and Applied Analysis  
a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback.  ...  In the paper titled "Boundary stabilization of a semilinear wave equation with variable coefficients under the timevarying and nonlinear feedback," the authors investigate the boundary stabilization of  ...  a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback.  ... 
doi:10.1155/2014/496350 fatcat:vohr34wmsndohhpsun74csnarm

Weakly nonlinear analysis for car-following model with consideration of cooperation and time delays [article]

Dihua Sun, Dong Chen, Min Zhao, Yuchu He, Hui Liu
2018 arXiv   pre-print
This paper is a new attempt to investigate analyses of linear stability and weak nonlinear for the general car-following model with consideration of cooperation and time delays.  ...  We derive linear stability condition and study that how the combinations of cooperation and time delays affect the stability of traffic flow.  ...  We generalize these developments for a class of cooperative car-following models. Burgers equation and KdV equation will be investigated in the weak nonlinear regime and some relations are derived.  ... 
arXiv:1803.09850v1 fatcat:cvev5ngtjjeglprtza7shxdwbu

Page 6062 of Mathematical Reviews Vol. , Issue 98I [page]

1998 Mathematical Reviews  
In the paper linear control systems with time-varying delays in the state variables, with uncertainties and with limited measurable state variables, are considered.  ...  98i:93068 with real coefficients a in the weighted diamond n m > S wejlaz; — anj| <r, k=0 j=0 where delays t) < t; <--- <T,, and nominal coefficients a* are fixed.  ... 

Page 4827 of Mathematical Reviews Vol. 58, Issue 6 [page]

1979 Mathematical Reviews  
Stable traveling oscillatory wave solu- tions of the nonlinear equation are.obtained. The amplitude of the fluctuations is shown to depend only on the parameters of the equation.  ...  Here we propose a time delay interaction model in which the species can diffuse. The model results in a single nonlinear diffu- sion time delay equation.  ... 

Bifurcation and nonlinear analysis of a time-delayed thermoacoustic system

Xiaochuan Yang, Ali Turan, Shenghui Lei
2017 Communications in nonlinear science & numerical simulation  
Moreover, subcritical Hopf bifurcations and fold bifurcations are captured with the evolution of dimensionless heat release coefficient, generic damping coefficient and time delay.  ...  Linear stability boundary, nonlinear stability boundary, bistable region and limit cycles are thus determined to gain an understanding of the intrinsic nonlinear behaviors.  ...  In Fig. 11 (b), with fixed heat release, smaller damping coefficient will not balance the oscillation and smaller time delay contributes to the stability.  ... 
doi:10.1016/j.cnsns.2016.08.006 fatcat:3vq7m26opnfzdjyu273uqqzq3q

List of contents

2003 Applied Mathematics Letters  
for the Time Dependent Convection-Diffusion Equation Quarternionic Analyticity Oscillation and Nonoscillation for Difference Equations with Variable Delays NUMBER8 1165 1171 1179 1187  ...  Disfocality and Liapunov-Type Inequalities for Third-Order Equations A Relation Between the Output Regulation and the Observer Design for Nonlinear Systems Estimates from the Discrete-Time Lyapunov Equation  ... 
doi:10.1016/s0893-9659(03)90138-8 fatcat:sgh4wgebmnfchpedljenuojy2m

List of contents

1998 Applied Mathematics Letters  
Sensor Delay Note on a Nonlinear Difference Equation with Periodic Coefficients and Constant Delays Exact Solutions of Various Boussinesq Systems Remarks on a Social Equilibrium Existence Theorem  ...  Nonlinear Dissipative Wave Equations Analytic Solution of Nonlinear Integral Equations of Hammerstein Type Solution of the Thomas-Fermi Equation 99 Numerical-Analytical Algorithm of Seismic Wave Propagation  ... 
doi:10.1016/s0893-9659(98)80001-3 fatcat:fs4rse6j6bcmtia5fkk5bdklra

Exponential Stability of the Energy of the Wave Equation with Variable Coefficients and a Boundary Distributed Delay

Wenjun Liu
2014 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
AbstractIn this paper, we consider a wave equation with space variable coefficients. Due to physical considerations, a distributed delay damping is acted on the part of the boundary.  ...  And the method is rather general and can be adapted to other evolution systems with variable coefficients (e. g. elasticity plates) as well.  ...  This work was partly supported by the National Natural Science Foundation of China (Grant No. 11301277) and the Qing Lan Project of Jiangsu Province.  ... 
doi:10.5560/zna.2014-0047 fatcat:uutlzvi7zrfztaa4tl5vsjfsqm

Derivation of delay equation climate models using the Mori-Zwanzig formalism

Swinda K. J. Falkena, Courtney Quinn, Jan Sieber, Jason Frank, Henk A. Dijkstra
2019 Proceedings of the Royal Society A  
Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad hoc physical reasoning, such as the propagation time of  ...  In this paper, the Mori-Zwanzig formalism is introduced as a way to systematically derive delay models from systems of partial differential equations and hence provides a better justification for using  ...  We thank the two anonymous reviewers for their constructive comments. S.K.J.F. thanks the University of Exeter for hosting her for five months in 2018.  ... 
doi:10.1098/rspa.2019.0075 pmid:31423091 pmcid:PMC6694309 fatcat:r3e56vlhbzhsleunh2wcuakaue

Qualitative Analysis of Differential, Difference Equations, and Dynamic Equations on Time Scales

Tongxing Li, Josef Diblík, Alexander Domoshnitsky, Yuriy V. Rogovchenko, Felix Sadyrbaev, Qi-Ru Wang
2015 Abstract and Applied Analysis  
An oscillation constant is determined explicitly even for equations with coefficients of variable sign. Using the method of coincidence degree, Y. Wang and M.  ...  Gao et al. study a class of thirdorder nonlinear delay dynamic equations on time scales, whereas Q. Zhang et al. deal with a class of third-order nonlinear functional differential equations.  ...  Rogovchenko, Felix Sadyrbaev, and Qi-Ru Wang for their unfailing support with editorial work that ensured timely preparation of this special edition.  ... 
doi:10.1155/2015/643706 fatcat:uwp3zvk7snen7kcsm6hhutmgwu
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