# Multiple solutions for a class of perturbed damped vibration problems

Volume 16, Issue 3, pp 351-363
Publication Date: September 15, 2016 Submission Date: February 25, 2016
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### Authors

Mohamad Reza Heidari Tavani - Department of Mathematics, Science and Research branch, Islamic Azad University, Tehran, Iran. Ghasem A. Afrouzi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Shapour Heidarkhani - Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran.

### Abstract

The existence of three distinct weak solutions for a class of perturbed damped vibration problems with nonlinear terms depending on two real parameters is investigated. Our approach is based on variational methods.

### Share and Cite

##### ISRP Style

Mohamad Reza Heidari Tavani, Ghasem A. Afrouzi, Shapour Heidarkhani, Multiple solutions for a class of perturbed damped vibration problems, Journal of Mathematics and Computer Science, 16 (2016), no. 3, 351-363

##### AMA Style

Tavani Mohamad Reza Heidari, Afrouzi Ghasem A., Heidarkhani Shapour, Multiple solutions for a class of perturbed damped vibration problems. J Math Comput SCI-JM. (2016); 16(3):351-363

##### Chicago/Turabian Style

Tavani, Mohamad Reza Heidari, Afrouzi, Ghasem A., Heidarkhani, Shapour. "Multiple solutions for a class of perturbed damped vibration problems." Journal of Mathematics and Computer Science, 16, no. 3 (2016): 351-363

### Keywords

• Multiple solutions
• perturbed damped vibration problem
• critical point theory
• variational methods.

•  34C25
•  58E30
•  47H04

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