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

Yıl 2018, Cilt: 67 Sayı: 1, 286 - 292, 01.02.2018

Müge Meyvacı

https://doi.org/10.1501/Commua1_0000000850

Cited By: 1

Anahtar Kelimeler

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

Kaynakça

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.

Yıl 2018, Cilt: 67 Sayı: 1, 286 - 292, 01.02.2018

Müge Meyvacı

https://doi.org/10.1501/Commua1_0000000850

Cited By: 1

Kaynakça

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.

Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Research Article
Yazarlar	Müge Meyvacı Bu kişi benim
Yayımlanma Tarihi	1 Şubat 2018
Yayımlandığı Sayı	Yıl 2018 Cilt: 67 Sayı: 1

Kaynak Göster

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. Şubat 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, sy. 1 (Şubat 2018): 286-92. https://doi.org/10.1501/Commua1_0000000850.
EndNote	Meyvacı M (01 Şubat 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., c. 67, sy. 1, ss. 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 (Şubat 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, c. 67, sy. 1, 2018, ss. 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.