On the zeros of solutions of nonhomogeneous third order differential equations

N. Parhi; Purna Candra Das

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 4, page 641-652
  • ISSN: 0011-4642

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Parhi, N., and Das, Purna Candra. "On the zeros of solutions of nonhomogeneous third order differential equations." Czechoslovak Mathematical Journal 41.4 (1991): 641-652. <http://eudml.org/doc/13959>.

@article{Parhi1991,
author = {Parhi, N., Das, Purna Candra},
journal = {Czechoslovak Mathematical Journal},
keywords = {disconjugate equation; oscillatory and nonoscillatory behaviour},
language = {eng},
number = {4},
pages = {641-652},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the zeros of solutions of nonhomogeneous third order differential equations},
url = {http://eudml.org/doc/13959},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Parhi, N.
AU - Das, Purna Candra
TI - On the zeros of solutions of nonhomogeneous third order differential equations
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 641
EP - 652
LA - eng
KW - disconjugate equation; oscillatory and nonoscillatory behaviour
UR - http://eudml.org/doc/13959
ER -

References

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  1. L. Erbe, 10.2140/pjm.1976.64.369, Pacific J. Math. 64 (1976), 369-385. (1976) Zbl0339.34030MR0435508DOI10.2140/pjm.1976.64.369
  2. M. Gera, Some oscillation conditions for a linear third order differential equations, Soviet Math. Dokl. 36 (2) (1988), 277-280. (1988) Zbl0655.34024MR0912360
  3. M. Greguš, Third Order Linear Differential Equations, D. Reidel Pub. Co. Boston, Tokyo, 1987. (1987) Zbl0602.34005MR0882545
  4. M. Hanan, 10.2140/pjm.1961.11.919, Pacific J. Math. 11 (1961), 919-944. MR 26 # 2695. (1961) Zbl0104.30901MR0145160DOI10.2140/pjm.1961.11.919
  5. G. Jayaraman N. Padmanabhan, R. Mehrotra, 10.1016/0169-5983(86)90013-4, Fluid Dynamics Research 1 (1986), 131-144. The Japan Society of Fluid Mechanics. (1986) DOI10.1016/0169-5983(86)90013-4
  6. Gary D. Jones, 10.1137/0507002, SIAM J. Math. Anal. 7 (1976), 13-15. (1976) Zbl0342.34019MR0393656DOI10.1137/0507002
  7. Gary D. Jones, Oscillation properties of y " + p ( x ) y = f ( x ) , Academia Nazionale Del Lincei. 57 (1974), 337-341. (1974) MR0407375
  8. M. S. Keener, 10.1080/00036817108839006, Applicable Analysis 1 (1971), 57-63. (1971) Zbl0215.43802MR0281997DOI10.1080/00036817108839006
  9. A. C. Lazer, 10.2140/pjm.1966.17.435, Pacific J. Math. 17 (1966), 435-466. MR 33 # 1552. (1966) Zbl0143.31501MR0193332DOI10.2140/pjm.1966.17.435
  10. Zeev Nehari, 10.1090/S0002-9947-1957-0087816-8, Trans. Amer. Math. Soc. 85 (1957), 428-444. (1957) Zbl0078.07602MR0087816DOI10.1090/S0002-9947-1957-0087816-8
  11. W. Leighton, Z. Nehari, 10.1090/S0002-9947-1958-0102639-X, Trans. Amer. Math. Soc. 89 (1958), 325-377. (1958) Zbl0084.08104MR0102639DOI10.1090/S0002-9947-1958-0102639-X
  12. N. Parhi, P. Das, On nonoscillation of third order differential equations, Communicated. Zbl0815.34022
  13. R. E. Sitter, S. C. Tefteller, 10.1016/0022-247X(77)90094-4, J. Math. Anal. Appl. 59 (1977), 93-104. (1977) Zbl0358.34029MR0442370DOI10.1016/0022-247X(77)90094-4
  14. A. Skidmore, W. Leighton, On the differential equation у " + p ( x ) y = f ( x ) , J. Math. Anal. Appl. 43 (1973), 46-55. (1973) Zbl0287.34031MR0315213
  15. C. A. Swanson, Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York and London, 1968. (1968) Zbl0191.09904MR0463570

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