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

How to cite

top

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

top
  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) MR0912360
  3. M. Greguš, Third Order Linear Differential Equations, D. Reidel Pub. Co. Boston, Tokyo, 1987. (1987) MR0882545
  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) MR0393656DOI10.1137/0507002
  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) MR0193332DOI10.2140/pjm.1966.17.435
  10. Zeev Nehari, 10.1090/S0002-9947-1957-0087816-8, Trans. Amer. Math. Soc. 85 (1957), 428-444. (1957) MR0087816DOI10.1090/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) MR0102639DOI10.1090/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) MR0315213
  15. C. A. Swanson, Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York and London, 1968. (1968) Zbl0191.09904MR0463570

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.