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Volumn 28, Issue 5, 1997, Pages 779-792

Limit-point type results for nonlinear fourth-order differential equations

Author keywords

Nonlinear differential equation of fourth order; Nonlinear limit circle; Nonlinear limit point; Nonoscillatory solution; Oscillatory solution; Spectral theory; Weyl's classification of limit point limit circle

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0031103526     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00191-W     Document Type: Article
Times cited : (3)

References (14)
  • 1
    • 34250688684 scopus 로고
    • Über gewöhnliche differentialgleichungen mit singularitäten und die zugehörige entwocklungen willkürlicher funktionen
    • WEYL H., Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörige Entwocklungen willkürlicher Funktionen, Math. Annln. 68, 220-269 (1910).
    • (1910) Math. Annln. , vol.68 , pp. 220-269
    • Weyl, H.1
  • 3
    • 0010760843 scopus 로고
    • 2 classification of fourth-order differential equations
    • 2 classification of fourth-order differential equations, J. London math. Soc. 3(2), 297-300 (1971).
    • (1971) J. London Math. Soc. , vol.3 , Issue.2 , pp. 297-300
    • Eastham, M.S.P.1
  • 4
    • 0011024756 scopus 로고
    • Asymptotic method in the theory of one-dimensional singular differential operators
    • FEDORJUK M. V., Asymptotic method in the theory of one-dimensional singular differential operators, Trudi Mosk. Matem. Obsch. 15, 296-345 (1966).
    • (1966) Trudi Mosk. Matem. Obsch. , vol.15 , pp. 296-345
    • Fedorjuk, M.V.1
  • 6
    • 84971180758 scopus 로고
    • 2 nature of solutions of n-th order symmetric differential equations and Mcleod's conjecture
    • 2 nature of solutions of n-th order symmetric differential equations and Mcleod's conjecture, Proc. R. Soc. Edinb. 90A, 209-236 (1981).
    • (1981) Proc. R. Soc. Edinb. , vol.90 A , pp. 209-236
    • Paris, R.B.1    Wood, A.D.2
  • 7
    • 84974121617 scopus 로고
    • On singular differential operators with positive coefficients
    • SCHULTZE B., On singular differential operators with positive coefficients, Proc. Soc. Edinb. 120A, 361-365 (1992).
    • (1992) Proc. Soc. Edinb. , vol.120 A , pp. 361-365
    • Schultze, B.1
  • 8
    • 0000849935 scopus 로고
    • Limit circle criteria and related properties for nonlinear equations
    • GRAEF J. R., Limit circle criteria and related properties for nonlinear equations, J. diff. Eqns 35, 319-338 (1980).
    • (1980) J. Diff. Eqns , vol.35 , pp. 319-338
    • Graef, J.R.1
  • 9
    • 0002708510 scopus 로고
    • Limit circle type results for sublinear equations
    • GRAEF J. R., Limit circle type results for sublinear equations, Pacif. J. Math. 104, 85-94 (1983).
    • (1983) Pacif. J. Math. , vol.104 , pp. 85-94
    • Graef, J.R.1
  • 10
    • 0020797847 scopus 로고
    • On the nonlinear limit-point/limit-circle problem
    • GRAEF J. R. & SPIKES P. W., On the nonlinear limit-point/limit-circle problem, Nonlinear Analysis 7, 851-871 (1983).
    • (1983) Nonlinear Analysis , vol.7 , pp. 851-871
    • Graef, J.R.1    Spikes, P.W.2
  • 11
    • 85030042278 scopus 로고    scopus 로고
    • On the limit-point/limit-circle problem for nonlinear third-order differential equations
    • to appear
    • BARTUŠEK M. & DOŠLÁ Z., On the limit-point/limit-circle problem for nonlinear third-order differential equations, Math. Nachr. (to appear).
    • Math. Nachr.
    • Bartušek, M.1    Došlá, Z.2
  • 12
    • 25944468380 scopus 로고
    • On structure of solutions of a system of four differential inequalities
    • BARTUŠEK M., On structure of solutions of a system of four differential inequalities, J. Georg. Math. 2, 225-236 (1995).
    • (1995) J. Georg. Math. , vol.2 , pp. 225-236
    • Bartušek, M.1
  • 13
    • 0002226165 scopus 로고
    • On the asymptotic behavior of the solutions of a class of second-order linear differential equations
    • MARINI M. & ZEZZA P. L., On the asymptotic behavior of the solutions of a class of second-order linear differential equations, J. diff. Eqns 28, 1-17 (1978).
    • (1978) J. Diff. Eqns , vol.28 , pp. 1-17
    • Marini, M.1    Zezza, P.L.2
  • 14
    • 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. diff. Eqns 99, 381-397 (1992).
    • (1992) J. Diff. Eqns , vol.99 , pp. 381-397
    • Cecchi, M.1    Marini, M.2    Villari, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.