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Volumn 253, Issue 2, 2001, Pages 414-439

Oscillation Criteria for Second Order Nonlinear Differential Equations of Euler Type

Author keywords

Li nard system; Nonlinear Euler differential equations; Oscillation; Phase plane analysis

Indexed keywords


EID: 0035863992     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7149     Document Type: Article
Times cited : (34)

References (12)
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  • 2
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    • Hara T., Yoneyama T., Sugie J. Continuation results for differential equations by two Liapunov functions. Ann. Mat. Pura Appl. (4). 133:1983;79-92.
    • (1983) Ann. Mat. Pura Appl. (4) , vol.133 , pp. 79-92
    • Hara, T.1    Yoneyama, T.2    Sugie, J.3
  • 3
    • 84968468681 scopus 로고
    • A nonoscillation theorem for a nonlinear second order differential equation
    • Heidel J. W. A nonoscillation theorem for a nonlinear second order differential equation. Proc. Amer. Math. Soc. 22:1969;485-488.
    • (1969) Proc. Amer. Math. Soc. , vol.22 , pp. 485-488
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  • 4
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    • Non-oscillation theorems
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    • (1948) Trans. Amer. Math. Soc. , vol.64 , pp. 234-252
    • Hille, E.1
  • 5
    • 0000180044 scopus 로고
    • Untersuchungen über die reelen Nullstellen der Integrale linearer Differentialgleichungen
    • Kneser A. Untersuchungen über die reelen Nullstellen der Integrale linearer Differentialgleichungen. Math. Ann. 42:1893;409-435.
    • (1893) Math. Ann. , vol.42 , pp. 409-435
    • Kneser, A.1
  • 6
    • 84966199974 scopus 로고
    • Nonoscillation theorems for a second order sublinear ordinary differential equation
    • Kwong M. K., Wong J. S. W. Nonoscillation theorems for a second order sublinear ordinary differential equation. Proc. Amer. Math. Soc. 87:1983;467-474.
    • (1983) Proc. Amer. Math. Soc. , vol.87 , pp. 467-474
    • Kwong, M.K.1    Wong, J.S.W.2
  • 7
    • 0001444069 scopus 로고
    • Oscillation criteria for second-order linear differential equations
    • Nehari Z. Oscillation criteria for second-order linear differential equations. Trans. Amer. Math. Soc. 85:1957;428-445.
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 428-445
    • Nehari, Z.1
  • 8
    • 0007078943 scopus 로고
    • Continuation results for differential equations without uniqueness by two Liapunov functions
    • Sugie J. Continuation results for differential equations without uniqueness by two Liapunov functions. Proc. Japan Acad. Ser. A Math. Sci. 60:1984;153-156.
    • (1984) Proc. Japan Acad. Ser. A Math. Sci. , vol.60 , pp. 153-156
    • Sugie, J.1
  • 9
    • 21444434523 scopus 로고    scopus 로고
    • Nonlinear oscillations of second order differential equations of Euler type
    • Sugie J., Hara T. Nonlinear oscillations of second order differential equations of Euler type. Proc. Amer. Math. Soc. 124:1996;3173-3181.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 3173-3181
    • Sugie, J.1    Hara, T.2
  • 11
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    • Remarks on nonoscillation theorems for a second order nonlinear differential equation
    • Wong J. S. W. Remarks on nonoscillation theorems for a second order nonlinear differential equation. Proc. Amer. Math. Soc. 83:1981;541-546.
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  • 12
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    • Oscillation theorems for second-order nonlinear differential equations of Euler type
    • Wong J. S. W. Oscillation theorems for second-order nonlinear differential equations of Euler type. Methods Appl. Anal. 3:1996;476-485.
    • (1996) Methods Appl. Anal. , vol.3 , pp. 476-485
    • Wong, J.S.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.