Oscillation of nonlinear second order matrix differential equations

N. Parhi; P. Praharaj

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 5, page [455]-474
  • ISSN: 0139-9918

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Parhi, N., and Praharaj, P.. "Oscillation of nonlinear second order matrix differential equations." Mathematica Slovaca 57.5 (2007): [455]-474. <http://eudml.org/doc/34662>.

@article{Parhi2007,
author = {Parhi, N., Praharaj, P.},
journal = {Mathematica Slovaca},
keywords = {oscillation; non-oscillation; matrix differential system; nonlinear equation; self-adjoint; second order},
language = {eng},
number = {5},
pages = {[455]-474},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation of nonlinear second order matrix differential equations},
url = {http://eudml.org/doc/34662},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Parhi, N.
AU - Praharaj, P.
TI - Oscillation of nonlinear second order matrix differential equations
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 5
SP - [455]
EP - 474
LA - eng
KW - oscillation; non-oscillation; matrix differential system; nonlinear equation; self-adjoint; second order
UR - http://eudml.org/doc/34662
ER -

References

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  1. COLES W. Ј.-KINYON M. K., Summability methods for oscillation of linear second order matrix differential equations, Rockу Mountain Ј. Math. 24 (1994), 19-30. (1994) Zbl0807.34042MR1270025
  2. HOWARD H. C., Oscillation criteria for matrix differential equations, Canad. Ј. Math. 19 (1967), 184-199. (1967) Zbl0148.07203MR0212252
  3. HUANG C. C., Oscillation and non-oscillation for second order linear differential equations, Ј. Math. Anal. Appl. 210 (1997), 712-723. (1997) MR1453201
  4. LI W. T.-AGARWAL R. P., Interval oscillation criteria for second order nonlinear differential equations with damping, Comput. Math. Appl. 40 (2000), 217-230. Zbl1046.34059MR1763620
  5. LI W. T.-AGARWAL R. P., Interval oscillation criteria related to integral average technique for certain nonlinear differential equations, J. Math. Anal. Appl. 245 2000, 171-188. MR1756583
  6. NOUSSAIR E. S.-SWANSON C. A., Oscillation criteria for differential systems, J. Math. Anal. Appl. 36 (1971), 575-580. (1971) Zbl0222.34008MR0296417
  7. REID W. T., Oscillation criteria for linear differential systems with complex coefficients, Pacific J. Math. 6 (1956), 733-751. (1956) Zbl0071.30203MR0084655
  8. REID W. T., A Prufer transformation for differential systems, Pacific J. Math. 8 1958, 575-584. (1958) MR0099474
  9. STERNBERG R. L., Variational methods and non-oscillation theorems for systems of differential equations, Duke Math. J. 19 (1952), 311-322. (1952) Zbl0049.18704MR0048668

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