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Volumn 181, Issue 3, 2002, Pages 309-337

Oscillation constant of second-order non-linear self-adjoint differential equations

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EID: 0012272999     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s102310100043     Document Type: Article
Times cited : (18)

References (29)
  • 1
    • 0025491675 scopus 로고
    • Oscillatory behavior of solutions of nonlinear differential equations of second order
    • Blanko, R., Graef, J.R., Haĉik, M.: Oscillatory behavior of solutions of nonlinear differential equations of second order. J. Math. Anal. Appl. 151, 330-343 (1990)
    • (1990) J. Math. Anal. Appl. , vol.151 , pp. 330-343
    • Blanko, R.1    Graef, J.R.2    Haĉik, M.3
  • 2
    • 0041965187 scopus 로고
    • On the equation x″ + f(x)h(x′)x′ + g(x) = e(t)
    • Burton, T.A.: On the equation x″ + f(x)h(x′)x′ + g(x) = e(t). Ann. Mat. Pura Appl. 85, 277-285 (1970)
    • (1970) Ann. Mat. Pura Appl. , vol.85 , pp. 277-285
    • Burton, T.A.1
  • 4
    • 84968509265 scopus 로고
    • On continuability of solutions of second order differential equations
    • Burton, T.A., Grimmer, R.C.: On continuability of solutions of second order differential equations. Proc. Amer. Math. Soc. 29, 277-283 (1971)
    • (1971) Proc. Amer. Math. Soc. , vol.29 , pp. 277-283
    • Burton, T.A.1    Grimmer, R.C.2
  • 5
    • 0000073960 scopus 로고
    • The existence of continuable solutions of a second order differential equation
    • Butler, G.J.: The existence of continuable solutions of a second order differential equation. Canad. J. Math. 29, 472-479 (1977)
    • (1977) Canad. J. Math. , vol.29 , pp. 472-479
    • Butler, G.J.1
  • 6
    • 0002601644 scopus 로고
    • A generalization of Olech-Opial-Wazewski oscillation criteria to second order nonlinear equations
    • Butler, G.J., Erbe, L.H.: A generalization of Olech-Opial-Wazewski oscillation criteria to second order nonlinear equations. Nonlinear Anal. 11, 207-219 (1987)
    • (1987) Nonlinear Anal. , vol.11 , pp. 207-219
    • Butler, G.J.1    Erbe, L.H.2
  • 7
    • 33845205751 scopus 로고
    • Integral criteria for a classification of solutions of linear differential equations
    • Cecchi, M., Marini, M., Villari, G.; Integral criteria for a classification of solutions of linear differential equations. J. Differential Equations 99, 381-397 (1992)
    • (1992) J. Differential Equations , vol.99 , pp. 381-397
    • Cecchi, M.1    Marini, M.2    Villari, G.3
  • 8
    • 0000020240 scopus 로고
    • On some classes of continuable solutions of a non-linear differential equation
    • Cecchi, M., Marini, M., Villari, G.: On some classes of continuable solutions of a non-linear differential equation. J. Differential Equations 118, 403-419 (1995)
    • (1995) J. Differential Equations , vol.118 , pp. 403-419
    • Cecchi, M.1    Marini, M.2    Villari, G.3
  • 10
    • 0001466802 scopus 로고
    • Oscillation theorems for nonlinear differential equations of second order
    • Grace, S.R.: Oscillation theorems for nonlinear differential equations of second order. J. Math. Anal. Appl. 171, 220-241 (1992)
    • (1992) J. Math. Anal. Appl. , vol.171 , pp. 220-241
    • Grace, S.R.1
  • 11
    • 0000908731 scopus 로고
    • Oscillation theorems for second order superlinear differential equations with damping
    • Grace, S.R., Lalli, B.S.: Oscillation theorems for second order superlinear differential equations with damping. J. Austral. Math. Soc. A 53, 156-165 (1992)
    • (1992) J. Austral. Math. Soc. A , vol.53 , pp. 156-165
    • Grace, S.R.1    Lalli, B.S.2
  • 12
    • 0002167065 scopus 로고
    • On the generalized Liénard equation with negative damping
    • Graef, J.R.: On the generalized Liénard equation with negative damping. J. Differential Equations 12, 34-62 (1972)
    • (1972) J. Differential Equations , vol.12 , pp. 34-62
    • Graef, J.R.1
  • 13
    • 33747168147 scopus 로고
    • On the global center of generalized Liénard equation and its application to stability problems II
    • Hara, T., Yoneyama, T.: On the global center of generalized Liénard equation and its application to stability problems II. Funkcial. Ekvac. 31, 221-225 (1988)
    • (1988) Funkcial. Ekvac. , vol.31 , pp. 221-225
    • Hara, T.1    Yoneyama, T.2
  • 14
    • 0007034018 scopus 로고
    • Continuation results for differential equations by two Liapunov functions
    • Hara, T., Yoneyama, T., Sugie, J.: Continuation results for differential equations by two Liapunov functions. Ann. Mat. Pura Appl. 133, 79-92 (1983)
    • (1983) Ann. Mat. Pura Appl. , vol.133 , pp. 79-92
    • Hara, T.1    Yoneyama, T.2    Sugie, J.3
  • 15
    • 0021520631 scopus 로고
    • Non-continuation results for differential equations by several Liapunov functions
    • Hara, T., Yoneyama, T., Sugie, J.: Non-continuation results for differential equations by several Liapunov functions. J. Math. Anal. Appl. 104, 53-63 (1984)
    • (1984) J. Math. Anal. Appl. , vol.104 , pp. 53-63
    • Hara, T.1    Yoneyama, T.2    Sugie, J.3
  • 16
    • 0000816904 scopus 로고
    • Non-oscillation theorems
    • Hille, E.: Non-oscillation theorems. Tran. Amer. Math. Soc. 64, 234-252 (1948)
    • (1948) Tran. Amer. Math. Soc. , vol.64 , pp. 234-252
    • Hille, E.1
  • 17
    • 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, 409-435 (1893);
    • (1893) Math. Ann. , vol.42 , pp. 409-435
    • Kneser, A.1
  • 18
  • 19
    • 0001444069 scopus 로고
    • Oscillation criteria for second-order linear differential equations
    • Nehari, Z.: Oscillation criteria for second-order linear differential equations. Tran. Amer. Math. Soc. 85, 428-445 (1957)
    • (1957) Tran. Amer. Math. Soc. , vol.85 , pp. 428-445
    • Nehari, Z.1
  • 20
    • 0001099429 scopus 로고
    • On the oscillation of second order nonlinear differential equations
    • Philos, C.G., Purnaras, I.K.: On the oscillation of second order nonlinear differential equations. Arch. Math. 59, 260-271 (1992)
    • (1992) Arch. Math. , vol.59 , pp. 260-271
    • Philos, C.G.1    Purnaras, I.K.2
  • 21
    • 38149148442 scopus 로고
    • On global asymptotic stability of second order nonlinear differential systems
    • Qian, C.: On global asymptotic stability of second order nonlinear differential systems. Nonlinear Anal. 22, 823-833 (1994)
    • (1994) Nonlinear Anal. , vol.22 , pp. 823-833
    • Qian, C.1
  • 23
    • 0001495944 scopus 로고    scopus 로고
    • On global asymptotic stability of systems of Liénard type
    • Sugie, J., Chen, D., Matsunaga, H.: On global asymptotic stability of systems of Liénard type. J. Math. Anal. Appl. 219, 140-164 (1998)
    • (1998) J. Math. Anal. Appl. , vol.219 , pp. 140-164
    • Sugie, J.1    Chen, D.2    Matsunaga, H.3
  • 24
    • 21444434523 scopus 로고    scopus 로고
    • Nonlinear oscillations of second order differential equations of Euler type
    • Sugie, J., Kara, T.: Nonlinear oscillations of second order differential equations of Euler type. Proc. Amer. Math. Soc. 124, 3173-3181 (1996)
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 3173-3181
    • Sugie, J.1    Kara, T.2
  • 25
    • 0035863992 scopus 로고    scopus 로고
    • Oscillation criteria for second order nonlinear differential equations of Euler type
    • Sugie, J., Kita, K.: Oscillation criteria for second order nonlinear differential equations of Euler type. J. Math. Anal. Appl. 253, 414-439 (2001)
    • (2001) J. Math. Anal. Appl. , vol.253 , pp. 414-439
    • Sugie, J.1    Kita, K.2
  • 27
    • 0000721198 scopus 로고    scopus 로고
    • 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, 476-485 (1996)
    • (1996) Methods Appl. Anal. , vol.3 , pp. 476-485
    • Wong, J.S.W.1
  • 29
    • 0003248782 scopus 로고
    • Stability theory and the existence of periodic solutions and almost periodic solutions
    • New York: Springer-Verlag
    • Yoshizawa, T.: Stability theory and the existence of periodic solutions and almost periodic solutions. Applied Mathematical Sciences 14. New York: Springer-Verlag 1975
    • (1975) Applied Mathematical Sciences , vol.14
    • Yoshizawa, T.1


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