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Volumn 12, Issue 2, 1999, Pages 115-120

Positive solutions for nonlinear singular boundary value problems

Author keywords

Boundary value problem; Existence result; Positive solution; Singular equation

Indexed keywords


EID: 0005247575     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00158-X     Document Type: Article
Times cited : (23)

References (18)
  • 1
    • 84972487845 scopus 로고
    • A singular boundary value problem arising from near-ignition analysis of flame structure
    • Y.S. Choi, A singular boundary value problem arising from near-ignition analysis of flame structure, Diff. Integral Eqns. 4, 891-895 (1991).
    • (1991) Diff. Integral Eqns. , vol.4 , pp. 891-895
    • Choi, Y.S.1
  • 2
    • 0000138479 scopus 로고
    • Existence of positive solutions of singular boundary value problems
    • F.H Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Analysis 21, 397-406 (1993).
    • (1993) Nonlinear Analysis , vol.21 , pp. 397-406
    • Wong, F.H.1
  • 3
    • 0031126238 scopus 로고    scopus 로고
    • Existence of multiple positive solutions of singular boundary value problems
    • K.S. Ha and Y.H. Lee, Existence of multiple positive solutions of singular boundary value problems, Non-linear Analysis 28, 1429-1438 (1997).
    • (1997) Non-linear Analysis , vol.28 , pp. 1429-1438
    • Ha, K.S.1    Lee, Y.H.2
  • 5
    • 0030595241 scopus 로고    scopus 로고
    • Singular boundary value problems for superlinear second order ordinary and delay differential equations
    • R.P. Agarwal and D. O'Regan, Singular boundary value problems for superlinear second order ordinary and delay differential equations, J. Differential Equations 130, 333-355 (1996).
    • (1996) J. Differential Equations , vol.130 , pp. 333-355
    • Agarwal, R.P.1    O'Regan, D.2
  • 6
    • 0017014016 scopus 로고
    • Fixed point problems and nonlinear eigenvalue problems in ordered banach space
    • H. Amann, Fixed point problems and nonlinear eigenvalue problems in ordered Banach space, SIAM Rev. 18, 620-709 (1976).
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 7
    • 0016643640 scopus 로고
    • Some continuation and variational methods for positive solutions of nonlinear elliptic problems
    • M.G. Crandall and P.H. Rabinowitz, Some continuation and variational methods for positive solutions of nonlinear elliptic problems, Arch. Rat. Mech. Anal. 58, 207-218 (1975).
    • (1975) Arch. Rat. Mech. Anal. , vol.58 , pp. 207-218
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 8
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • L. Erbe and H. Wong, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120, 743-748 (1994).
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 743-748
    • Erbe, L.1    Wong, H.2
  • 10
    • 0000088106 scopus 로고
    • Some problems in the theory of quasilinear equations
    • I.M. Gel'fand, Some problems in the theory of quasilinear equations, Uspehi Mat. Nauka 14, 87-158 (1959); English translation, Trans. Amer. Math. Soc. 29, 295-381 (1963).
    • (1959) Uspehi Mat. Nauka , vol.14 , pp. 87-158
    • Gel'fand, I.M.1
  • 11
    • 0000247179 scopus 로고
    • English translation
    • I.M. Gel'fand, Some problems in the theory of quasilinear equations, Uspehi Mat. Nauka 14, 87-158 (1959); English translation, Trans. Amer. Math. Soc. 29, 295-381 (1963).
    • (1963) Trans. Amer. Math. Soc. , vol.29 , pp. 295-381
  • 12
    • 0030292887 scopus 로고    scopus 로고
    • Existence of positive solutions for nonlinear singular boundary value problems
    • W.C. Lian and F.H. Wong, Existence of positive solutions for nonlinear singular boundary value problems, Mathl. Comput. Modelling 24 (9), 69-78 (1996).
    • (1996) Mathl. Comput. Modelling , vol.24 , Issue.9 , pp. 69-78
    • Lian, W.C.1    Wong, F.H.2
  • 13
    • 21344432523 scopus 로고    scopus 로고
    • On the existence of positive solutions for nonlinear second order differential equations
    • W.C. Lian, F.H. Wong and C.C. Yeh, On the existence of positive solutions for nonlinear second order differential equations, Proc. Amer. Math. Soc. 124, 1117-1126 (1996).
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1117-1126
    • Lian, W.C.1    Wong, F.H.2    Yeh, C.C.3
  • 14
    • 0001751654 scopus 로고
    • On the existence of positive solutions of semilinear elliptic equations
    • P.L. Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Rev. 24, 441-467 (1991).
    • (1991) SIAM Rev. , vol.24 , pp. 441-467
    • Lions, P.L.1
  • 16
    • 0011281198 scopus 로고
    • Existence and nonexistence of positive radial solutions for some semilinear elliptic problems in annular domains
    • J. Santanilla, Existence and nonexistence of positive radial solutions for some semilinear elliptic problems in annular domains, Nonlinear Analysis 16, 861-879 (1991).
    • (1991) Nonlinear Analysis , vol.16 , pp. 861-879
    • Santanilla, J.1
  • 17
    • 0001314482 scopus 로고
    • Monotone method in nonlinear elliptic and parabolic boundary value problems
    • D.H. Sattinger, Monotone method in nonlinear elliptic and parabolic boundary value problems, Indian Univ. Math. J. 21, 970-1000 (1972).
    • (1972) Indian Univ. Math. J. , vol.21 , pp. 970-1000
    • Sattinger, D.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.