Nonoscillation theorems for forced second order non linear differential equations

John R. Graef; Paul W. Spikes

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 59, Issue: 6, page 694-701
  • ISSN: 0392-7881

How to cite

top

Graef, John R., and Spikes, Paul W.. "Nonoscillation theorems for forced second order non linear differential equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.6 (1975): 694-701. <http://eudml.org/doc/290923>.

@article{Graef1975,
author = {Graef, John R., Spikes, Paul W.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {694-701},
publisher = {Accademia Nazionale dei Lincei},
title = {Nonoscillation theorems for forced second order non linear differential equations},
url = {http://eudml.org/doc/290923},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Graef, John R.
AU - Spikes, Paul W.
TI - Nonoscillation theorems for forced second order non linear differential equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/12//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 6
SP - 694
EP - 701
LA - eng
UR - http://eudml.org/doc/290923
ER -

References

top
  1. ATKINSON, F. V. (1955) - On second-order non-linear oscillations, «Pacific J. Math.», 5, 643-647. Zbl0065.32001MR72316
  2. COFFMAN, C. V. and WONG, J. S. W. (1972) - Oscillation and non-oscillation of solutions of generalized Emden-Fowler equations, «Trans. Amer. Math. Soc.», 167, 399-434. Zbl0278.34026MR296413DOI10.2307/1996149
  3. COFFMAN, C. V. and WONG, J. S. W. (1972) - Oscillation and non-oscillation theorems for second order ordinary differential equations, «Funkcial. Ekvac.», 15, 119-130. Zbl0287.34024MR333337
  4. GOLLWITZEE, H. E. (1970) - Nonoscillation theorems for a nonlinear differential equation, «Proc. Amer. Math. Soc.», 26, 78-84. MR259243DOI10.2307/2036807
  5. GRAEF, J. R. and SPIKES, P. W. (1974) - A nonoscillation result for second order ordinary differential equations, «Rend. Accad. Sci. fis. mat. Napoli» (4), 41, 3-12. MR486795
  6. GRAEF, J. R. and SPIKES, P. W. (1975) - Sufficient conditions for nonoscillation of a second order nonlinear differential equation, «Proc. Amer. Math. Soc.», 50, 289-292. MR369808DOI10.2307/2040554
  7. GRAEF, J. R. and SPIKES, P. W. (1975) - Sufficient conditions for the equation ( a ( t ) x ) + h ( t , x , x ) + q ( t ) f ( x , x ) = e ( t , x , x ) to be nonoscillatory, «Funkcial. Ekvac.», 18, 35-40. Zbl0331.34030MR385234
  8. HAMMETT, M. E. (1967) - Oscillation and nonoscillation theorems for nonhomogeneous linear differential equations of second order, Ph. D. Dissertation, Auburn University. MR2616309
  9. HILLE, E. (1948) - Nonoscillation theorems, «Trans. Amer. Math. Soc.», 64, 234-252. MR27925DOI10.2307/1990500
  10. IZYUMOVA, D. V. (1966) - On the conditions for the oscillation and nonoscillation of solutions of nonlinear second-order differential equations, «Differencial'nye Uravnenija», 2, 1572-1586. MR209579
  11. IZYUMOVA, D. V. and KIGURADZE, I. T. (1968) - Some remarks on solutions of the equation u ′′ + a ( t ) f ( u ) = 0 , «Differencial'nye Uravnenija», 4, 589-605. MR227544
  12. KAMENEV, I. V. (1970) - Oscillations of solutions of nonlinear equations with multiplicatively separable right sides, «Differencial'nye Uravnenija», 6, 1510-1513. MR273117
  13. KEENER, M. S. (1971) - On the solutions of certain linear non-homogeneous second-order differential equations, «Applicable Analysis», 1, 57-63. Zbl0215.43802MR281997DOI10.1080/00036817108839006
  14. MACKI, J. W. and WONG, J. S. W. (1968) - Oscillation of solutions to second order non linear differential equations, «Pacific J. Math.», 24, 111-117. Zbl0165.42402MR224908
  15. MOORE, R. A. (1955) - The behavior of solutions of a linear differential equation of second order, «Pacific J. Math.», 5, 125-145. Zbl0064.08401MR68690
  16. MOORE, R. A. and NEHARI, Z. (1959) - Nonoscillation theorems for a class of nonlinear differential equations, «Trans. Amer. Math. Soc.», 93, 30-52. Zbl0089.06902MR111897DOI10.2307/1993421
  17. Z. Nehari (1969) - A nonlinear oscillation problem, «J. Differential Eqs.», 5, 452-460. Zbl0181.09702MR235203DOI10.1016/0022-0396(69)90085-0

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.