ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT

Müge Meyvacı

doi:10.1501/Commua1_0000000850

ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT

Year 2018, Volume: 67 Issue: 1, 286 - 292, 01.02.2018

Müge Meyvacı

https://doi.org/10.1501/Commua1_0000000850

Cited By: 1

Keywords

Energy decay rate, marine riser, fourth order wave equation, asymptotic behaviour

References

Çelebi A.O, Gür ¸S and Kalantarov V.K., Structural stability and decay estimate for marine riser equations. Math. Comput Model. 2011;54: 3182-3188.
Gür ¸S., Global asymptotic stability of solutions to nonlinear marine riser equation. J Inequal Appl. [electronic only] 2010.
Haraux A., Two remarks on dissipative hyperbolic problems. Research Notes in Mathemat- ics,Pitman. 1985; 161–179.
He W, Ge S.S., How B.V.E., Choo Y.S. and Hong K., Robust adaptive boundary control of a *exible marine riser with vessel dynamics. Automatica. 2011; 47: 722-732.
How B.V.E., Ge S.S. and Choo Y.S., Active control of *exible marine risers. J Sound Vib. 2009; 320: 758-776.
Kalantarov V.K. and Kurt A., The Long-time behavior of solutions of a nonlinear fourth order wave equation, describing the dynamics of marine risers. ZAMM . 1997; 77(3): 209-215.
Köhl M., An extended Lyapunov approach to the stability assessment of marine risers. Z. Angew. Math. Mech. 1993; 73 (2): 85-92 .
Martinez P., A new method to obtain decay rate estimates for dissipative systems. ESAIM:Control,Optimisation and Calculus of Variations. 1999; 4: 419-444.
Movchan A.A., The direct method of liapunov in stability problems of elastic system. J Appl Math Mech. 1959; 3: 686-700.

Year 2018, Volume: 67 Issue: 1, 286 - 292, 01.02.2018

Müge Meyvacı

https://doi.org/10.1501/Commua1_0000000850

Cited By: 1

References

Çelebi A.O, Gür ¸S and Kalantarov V.K., Structural stability and decay estimate for marine riser equations. Math. Comput Model. 2011;54: 3182-3188.
Gür ¸S., Global asymptotic stability of solutions to nonlinear marine riser equation. J Inequal Appl. [electronic only] 2010.
Haraux A., Two remarks on dissipative hyperbolic problems. Research Notes in Mathemat- ics,Pitman. 1985; 161–179.
He W, Ge S.S., How B.V.E., Choo Y.S. and Hong K., Robust adaptive boundary control of a *exible marine riser with vessel dynamics. Automatica. 2011; 47: 722-732.
How B.V.E., Ge S.S. and Choo Y.S., Active control of *exible marine risers. J Sound Vib. 2009; 320: 758-776.
Kalantarov V.K. and Kurt A., The Long-time behavior of solutions of a nonlinear fourth order wave equation, describing the dynamics of marine risers. ZAMM . 1997; 77(3): 209-215.
Köhl M., An extended Lyapunov approach to the stability assessment of marine risers. Z. Angew. Math. Mech. 1993; 73 (2): 85-92 .
Martinez P., A new method to obtain decay rate estimates for dissipative systems. ESAIM:Control,Optimisation and Calculus of Variations. 1999; 4: 419-444.
Movchan A.A., The direct method of liapunov in stability problems of elastic system. J Appl Math Mech. 1959; 3: 686-700.

There are 9 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Müge Meyvacı This is me
Publication Date	February 1, 2018
Published in Issue	Year 2018 Volume: 67 Issue: 1

Cite

APA	Meyvacı, M. (2018). ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 286-292. https://doi.org/10.1501/Commua1_0000000850
AMA	Meyvacı M. ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2018;67(1):286-292. doi:10.1501/Commua1_0000000850
Chicago	Meyvacı, Müge. “ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 1 (February 2018): 286-92. https://doi.org/10.1501/Commua1_0000000850.
EndNote	Meyvacı M (February 1, 2018) ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 286–292.
IEEE	M. Meyvacı, “ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 1, pp. 286–292, 2018, doi: 10.1501/Commua1_0000000850.
ISNAD	Meyvacı, Müge. “ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (February 2018), 286-292. https://doi.org/10.1501/Commua1_0000000850.
JAMA	Meyvacı M. ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:286–292.
MLA	Meyvacı, Müge. “ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 1, 2018, pp. 286-92, doi:10.1501/Commua1_0000000850.
Vancouver	Meyvacı M. ENERGY DECAY RATE OF THE SOLUTIONS OF A MARINE RISER EQUATION WITH A VARIABLE COEFFICIENT. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):286-92.