Bounds for Latent Roots in Damped Vibration Problems

SIAM Review ◽  
1964 ◽  
Vol 6 (2) ◽  
pp. 121-125 ◽  
Author(s):  
P. Lancaster
Keyword(s):  
Vibration Problems ◽  
Damped Vibration Problems ◽  
Latent Roots

Fast homoclinic solutions for a class of damped vibration problems

2013 ◽  
Vol 219 (11) ◽  
pp. 6053-6065 ◽  
Author(s):  
Peng Chen ◽  
Xianhua Tang ◽  
Ravi P. Agarwal
Keyword(s):  
Homoclinic Solutions ◽  
Vibration Problems ◽  
Damped Vibration Problems

scholarly journals Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Qiongfen Zhang
Keyword(s):  
Critical Point Theory ◽  
Mountain Pass Theorem ◽  
Point Theory ◽  
Homoclinic Solutions ◽  
Mountain Pass ◽  
Impulsive Effects ◽  
Symmetric Mountain Pass Theorem ◽  
Existence And Multiplicity ◽  
Vibration Problems ◽  
Damped Vibration Problems

This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects. Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory. The results obtained in this paper generalize and improve some existing works in the literature.

On variational methods for a class of damped vibration problems

2008 ◽  
Vol 68 (6) ◽  
pp. 1432-1441 ◽  
Author(s):  
Xian Wu ◽  
Shaoxiong Chen ◽  
Kaimin Teng
Keyword(s):  
Variational Methods ◽  
Vibration Problems ◽  
Damped Vibration Problems

scholarly journals Multiple solutions for a class of perturbed damped vibration problems

2016 ◽  
Vol 16 (03) ◽  
pp. 351-363
Author(s):  
Mohamad Reza Heidari Tavani ◽  
Ghasem A. Afrouzi ◽  
Shapour Heidarkhani
Keyword(s):  
Multiple Solutions ◽  
Vibration Problems ◽  
Damped Vibration Problems
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