Schwarz Waveform Relaxation for a Neutral Functional Partial Differential Equation Model of Lossless Coupled Transmission Lines

2013 ◽  
Vol 35 (2) ◽  
pp. A1161-A1191 ◽  
Author(s):  
Shu-Lin Wu ◽  
Ting-Zhu Huang
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Transmission Lines ◽  
Equation Model ◽  
Waveform Relaxation ◽  
Differential Equation Model ◽  
Partial Differential ◽  
Schwarz Waveform Relaxation ◽  
Partial Differential Equation Model ◽  
Coupled Transmission Lines

scholarly journals Asymptotic Behavior of Weak Solutions to the Generalized Nonlinear Partial Differential Equation Model

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Min Wu ◽  
Yousheng Wu
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Asymptotic Behavior ◽  
Weak Solutions ◽  
Nonlinear Partial Differential Equation ◽  
Equation Model ◽  
Differential Equation Model ◽  
Partial Differential ◽  
Large Perturbation ◽  
Partial Differential Equation Model

This paper investigates the asymptotic behavior of weak solutions to the generalized nonlinear partial differential equation model. It is proved that every perturbed weak solution of the perturbed generalized nonlinear partial differential equations asymptotically converges to the solution of the original system under the large perturbation.

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