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Volumn 127, Issue 5, 1999, Pages 1387-1395

Nonoscillation theorems for second order nonlinear differential equations

Author keywords

Asymptotic behavior; Nonlinear; Ordinary differential equations; Oscillation; Second order

Indexed keywords


EID: 22644448419     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05036-4     Document Type: Article
Times cited : (8)

References (18)
  • 1
    • 0000248737 scopus 로고
    • Oscillatory solutions of certain nonlinear differential equations of second order
    • in Czech
    • S. Belohorec, Oscillatory solutions of certain nonlinear differential equations of second order, Mat. Fyz. Casopis Solven. Akad. Vied. 11 (1961), 250-255. (in Czech).
    • (1961) Mat. Fyz. Casopis Solven. Akad. Vied. , vol.11 , pp. 250-255
    • Belohorec, S.1
  • 3
    • 84968516093 scopus 로고
    • r = 0, 0 > r > 1
    • MR 46:450
    • r = 0, 0 > r > 1, Proc. Amer. Math. Soc. 35 (1972), 120-122. MR 46:450
    • (1972) Proc. Amer. Math. Soc. , vol.35 , pp. 120-122
    • Chiou, K.L.1
  • 4
    • 0040471485 scopus 로고
    • Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations
    • MR 45:5473
    • C. V. Coffman and J. S. W. Wong, Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations, Trans. Amer. Math. Soc. 167 (1972), 399-434. MR 45:5473
    • (1972) Trans. Amer. Math. Soc. , vol.167 , pp. 399-434
    • Coffman, C.V.1    Wong, J.S.W.2
  • 5
    • 0002501710 scopus 로고
    • Oscillation and nonoscillation theorems for second order differential equations
    • MR 48:11662
    • C. V. Coffman and J. S. W. Wong, Oscillation and nonoscillation theorems for second order differential equations, Funkcial. Ekvac. 15 (1972), 119-130. MR 48:11662
    • (1972) Funkcial. Ekvac. , vol.15 , pp. 119-130
    • Coffman, C.V.1    Wong, J.S.W.2
  • 6
    • 0012795628 scopus 로고
    • On the existence of oscillatory solutions to nonlinear differential equations
    • MR 58:1380
    • L. H. Erbe and J. S. Muldowney, On the existence of oscillatory solutions to nonlinear differential equations, Annali di Matematica Pure ed Applicata 109 (1976), 23-38. MR 58:1380
    • (1976) Annali di Matematica Pure ed Applicata , vol.109 , pp. 23-38
    • Erbe, L.H.1    Muldowney, J.S.2
  • 7
    • 0037718817 scopus 로고
    • Nonoscillation results for second order nonlinear differential equation
    • MR 84a:34031
    • L. H. Erbe and J. S. Muldowney, Nonoscillation results for second order nonlinear differential equation, Rocky Mountain Math. J. 12 (1982), 635-642. MR 84a:34031
    • (1982) Rocky Mountain Math. J. , vol.12 , pp. 635-642
    • Erbe, L.H.1    Muldowney, J.S.2
  • 8
    • 84968469757 scopus 로고
    • Nonoscillation theorems for a nonlinear differential equation
    • MR 41:3885
    • H. E. Gollwitzer, Nonoscillation theorems for a nonlinear differential equation, Proc. Amer. Math. Soc. 26 (1970), 78-84. MR 41:3885
    • (1970) Proc. Amer. Math. Soc. , vol.26 , pp. 78-84
    • Gollwitzer, H.E.1
  • 9
    • 84972582994 scopus 로고
    • Uniqueness, continuous and nonoscillation for a second order nonlinear differential equation
    • MR 41:3886
    • J. W. Heidel, Uniqueness, continuous and nonoscillation for a second order nonlinear differential equation, Pacific J. Math. 32 (1970), 715-721. MR 41:3886
    • (1970) Pacific J. Math. , vol.32 , pp. 715-721
    • Heidel, J.W.1
  • 10
    • 0012887814 scopus 로고
    • The existence of oscillatory solutions for a nonlinear differential equation
    • MR 49:5472
    • J. W. Heidel and D. B. Hinton, The existence of oscillatory solutions for a nonlinear differential equation, SIAM J. Math. Anal. 3 (1972), 344-351. MR 49:5472
    • (1972) SIAM J. Math. Anal. , vol.3 , pp. 344-351
    • Heidel, J.W.1    Hinton, D.B.2
  • 11
    • 15544373332 scopus 로고
    • 2n-1 = 0, f(x) > 0
    • MR 26:408
    • 2n-1 = 0, f(x) > 0, Casopis Pest Mat. 85 (1960), 78-83. MR 26:408
    • (1960) Casopis Pest Mat. , vol.85 , pp. 78-83
    • Jasny, M.1
  • 12
    • 0000557440 scopus 로고
    • n sgn u = 0″
    • (in Russian). MR 36:4064
    • n sgn u = 0″, Casopis Pest Mat. 92 (1967), 343-350. (in Russian). MR 36:4064
    • (1967) Casopis Pest Mat. , vol.92 , pp. 343-350
    • Kiguradze, I.T.1
  • 13
    • 0012193385 scopus 로고
    • On the oscillatory and monotone solutions of ordinary differential equations
    • MR 80b:34031
    • I. T. Kiguradze, On the oscillatory and monotone solutions of ordinary differential equations, Arch. Math. Scripta Fac. Sci. Nat. 14 (1978), 21-44. MR 80b:34031
    • (1978) Arch. Math. Scripta Fac. Sci. Nat. , vol.14 , pp. 21-44
    • Kiguradze, I.T.1
  • 14
    • 0012800745 scopus 로고
    • 2n-1 = 0
    • (Russian). MR 23:A3322
    • 2n-1 = 0, Casopis Pest Mat. 85 (1960), 357-358. (Russian). MR 23:A3322
    • (1960) Casopis Pest Mat. , vol.85 , pp. 357-358
    • Kurzweil, J.1
  • 15
    • 84966199974 scopus 로고
    • Nonoscillation theorems for a second order sublinear ordinary differential equation
    • MR 84b:34039
    • M. K. Kwong and J. S. W. Wong, Nonoscillation theorems for a second order sublinear ordinary differential equation, Proc. Amer. Math. Soc. 87 (1983), 467-474. MR 84b:34039
    • (1983) Proc. Amer. Math. Soc. , vol.87 , pp. 467-474
    • Kwong, M.K.1    Wong, J.S.W.2
  • 16
    • 0002403465 scopus 로고
    • Eigenfunctions of the equation Δu + λf(u) = 0
    • (in Russian) and Soviet Math. 6 (1965), 1408-1411 (in English). MR 33:411
    • S. I. Pohozaev, Eigenfunctions of the equation Δu + λf(u) = 0, Dokl. Akad. Nauk SSSR 165 (1965), 36-39 (in Russian) and Soviet Math. 6 (1965), 1408-1411 (in English). MR 33:411
    • (1965) Dokl. Akad. Nauk SSSR , vol.165 , pp. 36-39
    • Pohozaev, S.I.1
  • 17
    • 0016495927 scopus 로고
    • On the generalized Emden-Fowler equation
    • MR 51:3610
    • J. S. W. Wong, On the generalized Emden-Fowler equation, SIAM Review 17 (1975), 339-360. MR 51:3610
    • (1975) SIAM Review , vol.17 , pp. 339-360
    • Wong, J.S.W.1
  • 18
    • 84966230365 scopus 로고
    • Remarks on nonoscillation theorems for a second order nonlinear differential equation
    • MR 82i:34034
    • J. S. W. Wong, Remarks on nonoscillation theorems for a second order nonlinear differential equation, Proc. Amer. Math. Soc. 83 (1981), 541-546. MR 82i:34034
    • (1981) Proc. Amer. Math. Soc. , vol.83 , pp. 541-546
    • Wong, J.S.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.