Existence and multiplicity of periodic solutions for damped vibration problems with nonlinearity of linear growth

2020 ◽  
Vol 107 ◽  
pp. 106502
Author(s):  
Guanggang Liu ◽  
Shaoyun Shi
Keyword(s):  
Periodic Solutions ◽  
Linear Growth ◽  
Existence And Multiplicity ◽  
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.

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