# Blow-up of solutions for a viscoelastic equation with nonlinear damping

Open Mathematics (2008)

- Volume: 6, Issue: 4, page 568-575
- ISSN: 2391-5455

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topYang Zhifeng. "Blow-up of solutions for a viscoelastic equation with nonlinear damping." Open Mathematics 6.4 (2008): 568-575. <http://eudml.org/doc/269298>.

@article{YangZhifeng2008,

abstract = {The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.},

author = {Yang Zhifeng},

journal = {Open Mathematics},

keywords = {viscoelastic equation; initial boundary value problem; blow-up; life-span},

language = {eng},

number = {4},

pages = {568-575},

title = {Blow-up of solutions for a viscoelastic equation with nonlinear damping},

url = {http://eudml.org/doc/269298},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Yang Zhifeng

TI - Blow-up of solutions for a viscoelastic equation with nonlinear damping

JO - Open Mathematics

PY - 2008

VL - 6

IS - 4

SP - 568

EP - 575

AB - The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.

LA - eng

KW - viscoelastic equation; initial boundary value problem; blow-up; life-span

UR - http://eudml.org/doc/269298

ER -

## References

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