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Volumn 252, Issue 1, 2000, Pages 342-352

Necessary and sufficient conditions for oscillation of second order neutral differential equations

Author keywords

Delays; Neutral differential equations; Nonlinear; Oscillation; Second order

Indexed keywords


EID: 0034369928     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7063     Document Type: Article
Times cited : (68)

References (22)
  • 1
    • 84972496338 scopus 로고
    • On second order nonlinear oscillation
    • Atkinson F. V. On second order nonlinear oscillation. Pacific J. Math. 5:1955;643-647.
    • (1955) Pacific J. Math. , vol.5 , pp. 643-647
    • Atkinson F., V.1
  • 2
    • 0000248737 scopus 로고
    • Oscillatory solutions of certain nonlinear differential equations of second order
    • Belohorec S. Oscillatory solutions of certain nonlinear differential equations of second order. Mat. Fyz. Casopis Sloven Akad. Vied. 11:1961;250-255.
    • (1961) Mat. Fyz. Casopis Sloven Akad. Vied. , vol.11 , pp. 250-255
    • Belohorec, S.1
  • 3
    • 0002604111 scopus 로고
    • Two remarks on the properties of solutions of a nonlinear differential equation
    • Belohorec S. Two remarks on the properties of solutions of a nonlinear differential equation. Acta Tac. Rerum Natur. Univ. Comen. Math. 22:1969;19-26.
    • (1969) Acta Tac. Rerum Natur. Univ. Comen. Math. , vol.22 , pp. 19-26
    • Belohorec, S.1
  • 5
    • 0002501710 scopus 로고
    • Oscillation and nonoscillation theorems for second order ordinary differential equations
    • Coffman C. V., Wong J. S. W. Oscillation and nonoscillation theorems for second order ordinary differential equations. Funkcial. Ekvac. 15:1972;119-130.
    • (1972) Funkcial. Ekvac. , vol.15 , pp. 119-130
    • Coffman C., V.1    Wong J. S., W.2
  • 6
    • 0002622893 scopus 로고
    • A nonlinear oscillation theorem
    • H. A. Antosiewicz. New York: Academic Press
    • Coles W. J. A nonlinear oscillation theorem. Antosiewicz H. A. International Conference on Differential Equations. 1975;193-202 Academic Press, New York.
    • (1975) International Conference on Differential Equations , pp. 193-202
    • Coles W., J.1
  • 7
    • 0030609322 scopus 로고    scopus 로고
    • A necessary and sufficient condition for the solutions of a functional differential equation to be oscillatory or tend to zero
    • Das P., Misra N. A necessary and sufficient condition for the solutions of a functional differential equation to be oscillatory or tend to zero. J. Math. Anal. Appl. 204:1997;78-87.
    • (1997) J. Math. Anal. Appl. , vol.204 , pp. 78-87
    • Das, P.1    Misra, N.2
  • 8
    • 0000785457 scopus 로고
    • Asymptotic properties of solutions of nonlinear neutral delay differential equations of the second order
    • Graef J. R., Grammatikopoulos M. K., Spikes P. W. Asymptotic properties of solutions of nonlinear neutral delay differential equations of the second order. Rad. Mat. 4:1988;133-149.
    • (1988) Rad. Mat. , vol.4 , pp. 133-149
    • Graef J., R.1    Grammatikopoulos M., K.2    Spikes P., W.3
  • 12
    • 84916020470 scopus 로고
    • Oscillation of solutions of second order nonlinear equations
    • Kamenev I. V. Oscillation of solutions of second order nonlinear equations. Trans. Moscow Electrical Machine Design Inst. 5:1969/70;125-136.
    • (1969) Trans. Moscow Electrical Machine Design Inst. , vol.5 , pp. 125-136
    • Kamenev I., V.1
  • 15
    • 38249022673 scopus 로고
    • Necessary and sufficient conditions for oscillations of second order neutral equations
    • Ladas G., Partheniadis E. C., Sficas Y. G. Necessary and sufficient conditions for oscillations of second order neutral equations. J. Math. Anal. Appl. 138:1989;214-231.
    • (1989) J. Math. Anal. Appl. , vol.138 , pp. 214-231
    • Ladas, G.1    Partheniadis E., C.2    Sficas Y., G.3
  • 17
    • 0031195368 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed arguments
    • Nasr A. H. Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed arguments. J. Math. Anal. Appl. 212:1997;51-59.
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 51-59
    • Nasr A., H.1
  • 18
    • 0002405464 scopus 로고
    • Some properties of solutions of u″(t) = a(t)f(u)g(u′) = 0 III
    • Wong J. S. W. Some properties of solutions of u″(t) = a(t)f(u)g(u′) = 0 III. Siam J. Appl. Math. 14:1966;209-214.
    • (1966) Siam J. Appl. Math. , vol.14 , pp. 209-214
    • Wong J. S., W.1
  • 19
    • 0002601627 scopus 로고
    • A note on second order nonlinear oscillation
    • Wong J. S. W. A note on second order nonlinear oscillation. SIAM Rev. 10:1968;88-91.
    • (1968) SIAM Rev. , vol.10 , pp. 88-91
    • Wong J. S., W.1
  • 20
    • 0002402939 scopus 로고
    • Second order oscillation with retarded arguments
    • L. Weiss. New York: Academic Press
    • Wong J. S. W. Second order oscillation with retarded arguments. Weiss L. Ordinary Differential Equations, 1971 NRL-MRC Conference. 1972;581-596 Academic Press, New York.
    • (1972) Ordinary Differential Equations, 1971 NRL-MRC Conference , pp. 581-596
    • Wong J. S., W.1
  • 21
    • 0000721096 scopus 로고
    • Second order nonlinear forced oscillation
    • Wong J. S. W. Second order nonlinear forced oscillation. SIAM J. Math. Anal. 19:1988;667-675.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 667-675
    • Wong J. S., W.1
  • 22
    • 0000800723 scopus 로고
    • A second order sublinear oscillation theorem
    • Wong J. S. W. A second order sublinear oscillation theorem. J. Math. Anal. Appl. 1:1989;408-412.
    • (1989) J. Math. Anal. Appl. , vol.1 , pp. 408-412
    • Wong J. S., W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.