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Volumn 2004, Issue , 2004, Pages 1-6

Note on a non-oscillation theorem of Atkinson

Author keywords

Non oscillation; Nonlinear; Second order differential equations

Indexed keywords


EID: 3042588410     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (13)
  • 1
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    • Atkinson, F.V.1
  • 2
    • 0000248737 scopus 로고
    • Oscillatory solutions of certain nonlinear differential equations of the second order
    • S. Belohorec, Oscillatory solutions of certain nonlinear differential equations of the second order, Mat.-Fyz. Casopis Sloven. Acad. Vied. 11 (1961), 250-255.
    • (1961) Mat.-Fyz. Casopis Sloven. Acad. Vied. , vol.11 , pp. 250-255
    • Belohorec, S.1
  • 3
    • 3042655853 scopus 로고
    • On the oscillatory behavior of a second order nonlinear differential equation
    • G. J. Butler, On the oscillatory behavior of a second order nonlinear differential equation, Annali Mat. Pura Appl (4) 105 (1975), 73-92.
    • (1975) Annali Mat. Pura Appl (4) , vol.105 , pp. 73-92
    • Butler, G.J.1
  • 5
    • 85047669026 scopus 로고    scopus 로고
    • Positive solutions of quasilinear elliptic equations
    • A. Constantin, Positive solutions of quasilinear elliptic equations, J. Math. Anal. Appl. 213 (1997), 334-339.
    • (1997) J. Math. Anal. Appl. , vol.213 , pp. 334-339
    • Constantin, A.1
  • 7
    • 0003299638 scopus 로고
    • Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions
    • Springer-Verlag, New York
    • A. B. Mingarelli, Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions, Lecture Notes in Mathematics 989, Springer-Verlag, New York, 1983.
    • (1983) Lecture Notes in Mathematics , vol.989
    • Mingarelli, A.B.1
  • 8
    • 0031195368 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed argument
    • A. H. Nasr, Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed argument, J. Math. Anal. Appl. 212 (1997), 51-59.
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 51-59
    • Nasr, A.H.1
  • 9
    • 3042612615 scopus 로고
    • Analyse d'un mémoire sure les propriétés générales des fonctions qui dépendent d'équations différentielles linéaires du deuxième ordre
    • L'Institut; 1re section
    • C. Sturm, Analyse d'un mémoire sure les propriétés générales des fonctions qui dépendent d'équations différentielles linéaires du deuxième ordre, L'Institut; Journal universel des sciences des sociétés savantes en France et à l'étranger, 1re section; I, (1833), 219-233.
    • (1833) Journal Universel des Sciences des Sociétés Savantes en France et à l'Étranger , vol.1 , pp. 219-233
    • Sturm, C.1
  • 10
    • 0034369928 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for oscillation of second order neutral differential equations
    • J. S. W. Wong, Necessary and sufficient conditions for oscillation of second order neutral differential equations, J. Math. Anal. Appl. 252 (2000), 342-352.
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 342-352
    • Wong, J.S.W.1
  • 11
    • 0001455794 scopus 로고    scopus 로고
    • On Kamenev type oscillation theorems for second order differential equations with damping
    • J. S. W. Wong, On Kamenev type oscillation theorems for second order differential equations with damping, J. Math. Anal. Appl. 258 (2001), 244-257.
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 244-257
    • Wong, J.S.W.1
  • 12
    • 0038147341 scopus 로고    scopus 로고
    • Monotone positive solutions of second order nonlinear differential equations
    • Z. Yin, Monotone positive solutions of second order nonlinear differential equations, Nonlinear Analysis, 54 (2003), 391-403.
    • (2003) Nonlinear Analysis , vol.54 , pp. 391-403
    • Yin, Z.1
  • 13
    • 84966254220 scopus 로고
    • Positive solutions of nonlinear second order ordinary differential equations
    • Z. Zhao, Positive solutions of nonlinear second order ordinary differential equations, Proc. Amer. Math. Soc., 121 (2) (1994), 465-469.
    • (1994) Proc. Amer. Math. Soc. , vol.121 , Issue.2 , pp. 465-469
    • Zhao, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.