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, , 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, , 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

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.