Existence of nonzero solutions for a class of damped vibration problems with impulsive effects

Liang Bai; Binxiang Dai

Applications of Mathematics (2014)

  • Volume: 59, Issue: 2, page 145-165
  • ISSN: 0862-7940

Abstract

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In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result.

How to cite

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Bai, Liang, and Dai, Binxiang. "Existence of nonzero solutions for a class of damped vibration problems with impulsive effects." Applications of Mathematics 59.2 (2014): 145-165. <http://eudml.org/doc/261100>.

@article{Bai2014,
abstract = {In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result.},
author = {Bai, Liang, Dai, Binxiang},
journal = {Applications of Mathematics},
keywords = {impulsive problem; damped vibration problem; variational method; critical point; impulsive problem; damped vibration problem; variational method; critical point; impulses at fixed times; periodic boundary value problem; multiplicity result},
language = {eng},
number = {2},
pages = {145-165},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of nonzero solutions for a class of damped vibration problems with impulsive effects},
url = {http://eudml.org/doc/261100},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Bai, Liang
AU - Dai, Binxiang
TI - Existence of nonzero solutions for a class of damped vibration problems with impulsive effects
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 2
SP - 145
EP - 165
AB - In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result.
LA - eng
KW - impulsive problem; damped vibration problem; variational method; critical point; impulsive problem; damped vibration problem; variational method; critical point; impulses at fixed times; periodic boundary value problem; multiplicity result
UR - http://eudml.org/doc/261100
ER -

References

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