Lyapunov-type inequality for higher-order differential equations

N. Parhi; S. Panigrahi

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 31-46
  • ISSN: 0139-9918

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Parhi, N., and Panigrahi, S.. "Lyapunov-type inequality for higher-order differential equations." Mathematica Slovaca 52.1 (2002): 31-46. <http://eudml.org/doc/31898>.

@article{Parhi2002,
author = {Parhi, N., Panigrahi, S.},
journal = {Mathematica Slovaca},
keywords = {Lyapunov-type inequality; oscillatory solution; higher-order differential equations; disconjugacy},
language = {eng},
number = {1},
pages = {31-46},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Lyapunov-type inequality for higher-order differential equations},
url = {http://eudml.org/doc/31898},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Parhi, N.
AU - Panigrahi, S.
TI - Lyapunov-type inequality for higher-order differential equations
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 31
EP - 46
LA - eng
KW - Lyapunov-type inequality; oscillatory solution; higher-order differential equations; disconjugacy
UR - http://eudml.org/doc/31898
ER -

References

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  1. DAHIYA R. S., SINGH B., A Liapunov inequality and nonoscillation theorem for a second order nonlinear differential-difference equation, J. Math. Phys. Sci. 7 (1973), 163-170. (1973) MR0350151
  2. ELIASON S. B., A Liapunov inequality for a certain second order nonlinear differential equation, J. London Math. Soc. 2 (1970), 461-466. (1970) MR0267191
  3. ELIASON S. B., Liapunov type inequalities for certain second order functional differential equations, SIAM J. Appl. Mat. 27 (1974), 180-199. (1974) MR0350152
  4. ELIASON S. B., Distance between zeros of certain differential equations having delayed arguments, Ann. Mat. Pura Appl. 106 (1975), 273-291. (1975) Zbl0316.34081MR0412558
  5. HARTMAN P., Ordinary Differential Equations, Wiley, New York, 1964. (1964) Zbl0125.32102MR0171038
  6. LIAPUNOV A. M., Probleme general de la stabilitie du mouvement, Ann. of Math. Stud. 17, Princeton Univ. Press, Princeton, NJ, 1949. (1949) 
  7. PACHPATTE B. G., On Liapunov-type inequalities for certain higher order differential equations, J. Math. Anal. Appl. 195 (1995), 527-536. (195) MR1354560
  8. PARHI N., PANIGRAHI S., On Liapunov-type inequality for third-order differential equations, J. Math. Anal. Appl. 233 (1999), 445-460. (1999) MR1689641
  9. PARHI N., PANIGRAHI S., On Liapunov-type inequality for delay-differential equations of third order, Czechoslovak Math. J. (To appear). MR1905446
  10. PATULA W. T., On the distance between zeros, Proc. Amer. Math. Soc. 52 (1975 , 247-251. (1975) MR0379986

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