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Volumn 291, Issue 2, 2004, Pages 387-405

Oscillation of solutions of second-order nonlinear self-adjoint differential equations

Author keywords

Li nard type systems; Nonlinear self adjoint differential equations; Oscillation; Phase plane analysis; Positive orbits; Sturm's comparison method

Indexed keywords


EID: 1542720999     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.11.027     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 0025491675 scopus 로고
    • Oscillatory behavior of solutions of nonlinear differential equations of the second order
    • R. Blaśko, J.R. Graef, M. Haĉik, P.W. Spikes, Oscillatory behavior of solutions of nonlinear differential equations of the second order, J. Math. Anal. Appl. 151 (1990) 330-343.
    • (1990) J. Math. Anal. Appl. , vol.151 , pp. 330-343
    • Blaśko, R.1    Graef, J.R.2    Haĉik, M.3    Spikes, P.W.4
  • 2
    • 0002601644 scopus 로고
    • A generalization of Olech-Opial-Wazewski oscillation criteria to second order nonlinear equations
    • G.J. Butler, L.H. Erbe, A generalization of Olech-Opial-Wazewski oscillation criteria to second order nonlinear equations, Nonlinear Anal. 11 (1987) 207-219.
    • (1987) Nonlinear Anal. , vol.11 , pp. 207-219
    • Butler, G.J.1    Erbe, L.H.2
  • 3
    • 0000020240 scopus 로고
    • On some classes of continuable solutions of a nonlinear differential equation
    • M. Cecchi, M. Marini, G. Villari, On some classes of continuable solutions of a nonlinear differential equation, J. Differential Equations 118 (1995) 403-419.
    • (1995) J. Differential Equations , vol.118 , pp. 403-419
    • Cecchi, M.1    Marini, M.2    Villari, G.3
  • 6
    • 0040471485 scopus 로고
    • Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations
    • C.V. Coffman, J.S.W. Wong, Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations, Trans. Amer. Math. Soc. 167 (1972) 399-434.
    • (1972) Trans. Amer. Math. Soc. , vol.167 , pp. 399-434
    • Coffman, C.V.1    Wong, J.S.W.2
  • 8
    • 0022080243 scopus 로고
    • Nonoscillation criteria for second order nonlinear differential equations
    • L.H. Erbe, Nonoscillation criteria for second order nonlinear differential equations, J. Math. Anal. Appl. 108 (1985) 515-527.
    • (1985) J. Math. Anal. Appl. , vol.108 , pp. 515-527
    • Erbe, L.H.1
  • 9
    • 84968469757 scopus 로고
    • Nonoscillation theorems for a nonlinear differential equation
    • H.E. Gollwitzer, Nonoscillation theorems for a nonlinear differential equation, Proc. Amer. Math. Soc. 26 (1970) 78-84.
    • (1970) Proc. Amer. Math. Soc. , vol.26 , pp. 78-84
    • Gollwitzer, H.E.1
  • 11
    • 84968468681 scopus 로고
    • A nonoscillation theorem for a nonlinear second order differential equation
    • J.W. Heidel, 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
    • Heidel, J.W.1
  • 12
    • 0000816904 scopus 로고
    • Non-oscillation theorems
    • E. Hille, Non-oscillation theorems, Tran. Amer. Math. Soc. 64 (1948) 234-252.
    • (1948) Tran. Amer. Math. Soc. , vol.64 , pp. 234-252
    • Hille, E.1
  • 13
    • 0000180044 scopus 로고
    • Untersuchungen über die reelen Nullstellen der Integrale linearer Differentialgleichungen
    • A. Kneser, 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
  • 14
    • 84942399632 scopus 로고
    • Untersuchung und asymptotische Darstellung der Integrate gewisser Differentialgleichungen bei grossen reellen Werthen des Arguments
    • A. Kneser, Untersuchung und asymptotische Darstellung der Integrate gewisser Differentialgleichungen bei grossen reellen Werthen des Arguments, J. Reine Angew. Math. 116 (1896) 178-212.
    • (1896) J. Reine Angew. Math. , vol.116 , pp. 178-212
    • Kneser, A.1
  • 15
    • 1542749454 scopus 로고
    • On an oscillation theorem of Belohorec
    • M.K. Kwong, J.S.W. Wong, On an oscillation theorem of Belohorec, SIAM J. Math. Anal. 14 (1983) 474-476.
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 474-476
    • Kwong, M.K.1    Wong, J.W.S.2
  • 16
    • 0141930820 scopus 로고    scopus 로고
    • Oscillation criteria for second order nonlinear differential equations involving integral averages
    • W.T. Li, R.P. Agarwal, Oscillation criteria for second order nonlinear differential equations involving integral averages, Comm. Appl. Nonlinear Anal. 8 (2001) 77-87.
    • (2001) Comm. Appl. Nonlinear Anal. , vol.8 , pp. 77-87
    • Li, W.T.1    Agarwal, R.P.2
  • 17
    • 0001551668 scopus 로고
    • Asymptotic behavior of solutions of second order differential equations with integrable coefficients
    • M. Naito, Asymptotic behavior of solutions of second order differential equations with integrable coefficients, Trans. Amer. Math. Soc. 282 (1984) 577-588.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 577-588
    • Naito, M.1
  • 18
    • 38249011527 scopus 로고
    • Integral averages and the asymptotic behavior of solutions of second order ordinary differential equations
    • M. Naito, Integral averages and the asymptotic behavior of solutions of second order ordinary differential equations, J. Math. Anal. Appl. 164 (1992) 370-380.
    • (1992) J. Math. Anal. Appl. , vol.164 , pp. 370-380
    • Naito, M.1
  • 19
    • 0001444069 scopus 로고
    • Oscillation criteria for second-order linear differential equations
    • Z. Nehari, 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
  • 20
    • 0037439593 scopus 로고    scopus 로고
    • On existence of oscillatory solutions of second order Emden-Fowler equations
    • C.H. Ou, J.S.W. Wong, On existence of oscillatory solutions of second order Emden-Fowler equations, J. Math. Anal. Appl. 277 (2003) 670-680.
    • (2003) J. Math. Anal. Appl. , vol.277 , pp. 670-680
    • Ou, C.H.1    Wong, J.S.W.2
  • 21
    • 0001099429 scopus 로고
    • On the oscillation of second order nonlinear differential equations
    • C.G. Philos, I.K. Purnaras, On the oscillation of second order nonlinear differential equations, Arch. Math. 59 (1992) 260-271.
    • (1992) Arch. Math. , vol.59 , pp. 260-271
    • Philos, C.G.1    Purnaras, I.K.2
  • 22
    • 21444434523 scopus 로고    scopus 로고
    • Nonlinear oscillations of second order differential equations of Euler type
    • J. Sugie, T. Hara, 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
  • 23
    • 0035863992 scopus 로고    scopus 로고
    • Oscillation criteria for second order nonlinear differential equations of Euler type
    • J. Sugie, K. Kita, Oscillation criteria for second order nonlinear differential equations of Euler type, J. Math. Anal. Appl. 253 (2001) 414-439.
    • (2001) J. Math. Anal. Appl. , vol.253 , pp. 414-439
    • Sugie, J.1    Kita, K.2
  • 24
    • 0012272999 scopus 로고    scopus 로고
    • Oscillation constant of second-order non-linear self-adjoint differential equations
    • J. Sugie, K. Kita, N. Yamaoka, Oscillation constant of second-order non-linear self-adjoint differential equations, Ann. Mat. Pura Appl. (4) 181 (2002) 309-337.
    • (2002) Ann. Mat. Pura Appl. , vol.181 , Issue.4 , pp. 309-337
    • Sugie, J.1    Kita, K.2    Yamaoka, N.3
  • 25
    • 0036680709 scopus 로고    scopus 로고
    • An infinite sequence of nonoscillation theorems for second order nonlinear differential equations of Euler type
    • J. Sugie, N. Yamaoka, An infinite sequence of nonoscillation theorems for second order nonlinear differential equations of Euler type, Nonlinear Anal. 50 (2002) 373-388.
    • (2002) Nonlinear Anal. , vol.50 , pp. 373-388
    • Sugie, J.1    Yamaoka, N.2
  • 27
    • 0035423920 scopus 로고    scopus 로고
    • Nonoscillation theorems for a nonlinear self-adjoint differential equation
    • J. Sugie, N. Yamaoka, Y. Obata, Nonoscillation theorems for a nonlinear self-adjoint differential equation, Nonlinear Anal. 47 (2001) 4433-4444.
    • (2001) Nonlinear Anal. , vol.47 , pp. 4433-4444
    • Sugie, J.1    Yamaoka, N.2    Obata, Y.3
  • 29
    • 84968468710 scopus 로고
    • An oscillation theorem for second order sublinear differrntial equations
    • J.S.W. Wong, An oscillation theorem for second order sublinear differrntial equations, Proc. Amer. Math. Soc. 110 (1990) 633-637.
    • (1990) Proc. Amer. Math. Soc. , vol.110 , pp. 633-637
    • Wong, J.S.W.1
  • 30
    • 0000721198 scopus 로고    scopus 로고
    • Oscillation theorems for second-order nonlinear differential equations of Euler type
    • J.S.W. Wong, 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
  • 31
    • 0037110118 scopus 로고    scopus 로고
    • A nonoscillation theorem for Emden-Fowler equations
    • J.S.W. Wong, A nonoscillation theorem for Emden-Fowler equations, J. Math. Anal. Appl. 274 (2002) 746-754.
    • (2002) J. Math. Anal. Appl. , vol.274 , pp. 746-754
    • Wong, J.S.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.