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Volumn 312, Issue 1, 2005, Pages 357-373

Existence of solutions to a class of nonlinear second order two-point boundary value problems

Author keywords

Critical point theory; Mountain pass lemma; P.S. condition; Strongly monotone operator principle; Two point boundary value problem

Indexed keywords


EID: 27644579558     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.03.043     Document Type: Article
Times cited : (35)

References (16)
  • 1
    • 0034668467 scopus 로고    scopus 로고
    • General Lidstone problems: Multiplicity and symmetry of solutions
    • J.M. Davis J. Henderson P.J.Y. Wong General Lidstone problems: Multiplicity and symmetry of solutions J. Math. Anal. Appl. 251 2000 527-548
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 527-548
    • Davis, J.M.1    Henderson, J.2    Wong, P.J.Y.3
  • 3
    • 43949161468 scopus 로고
    • Multiple positive solutions of some boundary value problems
    • L.H. Erbe S. Hu H. Wang Multiple positive solutions of some boundary value problems J. Math. Anal. Appl. 184 1994 640-648
    • (1994) J. Math. Anal. Appl. , vol.184 , pp. 640-648
    • Erbe, L.H.1    Hu, S.2    Wang, H.3
  • 4
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • L.H. Erbe H. Wang On the existence of positive solutions of ordinary differential equations Proc. Amer. Math. Soc. 120 1994 743-748
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 5
    • 0003742471 scopus 로고    scopus 로고
    • second ed. Shandong Sci. & Tec. Press. (in Chinese)
    • D. Guo Nonlinear Functional Analysis second ed. 2001 Shandong Sci. & Tec. Press (in Chinese)
    • (2001) Nonlinear Functional Analysis
    • Guo, D.1
  • 6
    • 0031106937 scopus 로고    scopus 로고
    • Positive solutions for nonlinear eigenvalue problems
    • J. Henderson H. Wang Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 1997 252-259
    • (1997) J. Math. Anal. Appl. , vol.208 , pp. 252-259
    • Henderson, J.1    Wang, H.2
  • 7
    • 0001583818 scopus 로고    scopus 로고
    • Positive solutions of semilinear differential equations with sigularities
    • K. Lan J.R.L. Webb Positive solutions of semilinear differential equations with sigularities J. Differential Equations 148 1998 407-421
    • (1998) J. Differential Equations , vol.148 , pp. 407-421
    • Lan, K.1    Webb, J.R.L.2
  • 8
    • 10144237214 scopus 로고    scopus 로고
    • Generalization for Amann's and Leggett-Williams' three-solution theorems and applications
    • F. Li G. Han Generalization for Amann's and Leggett-Williams' three-solution theorems and applications J. Math. Anal. Appl. 298 2004 638-654
    • (2004) J. Math. Anal. Appl. , vol.298 , pp. 638-654
    • Li, F.1    Han, G.2
  • 9
    • 1642299817 scopus 로고    scopus 로고
    • Multiple symmetric nonnegative solutions of second-order ordinary differential equations
    • F. Li Y. Zhang Multiple symmetric nonnegative solutions of second-order ordinary differential equations Appl. Math. Lett. 17 2004 261-267
    • (2004) Appl. Math. Lett. , vol.17 , pp. 261-267
    • Li, F.1    Zhang, Y.2
  • 10
    • 0030295488 scopus 로고    scopus 로고
    • Multiple positive solutions of nonlinear two-point boundary value problems
    • Z. Liu F. Li Multiple positive solutions of nonlinear two-point boundary value problems J. Math. Anal. Appl. 203 1996 610-625
    • (1996) J. Math. Anal. Appl. , vol.203 , pp. 610-625
    • Liu, Z.1    Li, F.2
  • 11
    • 0001901435 scopus 로고
    • Minimax Methods in Critical Point Theory with Applications to Differential Equations
    • Providence, RI: Amer. Math. Soc
    • P.H. Rabinowitz Minimax Methods in Critical Point Theory with Applications to Differential Equations CBMS Regional Conf. Ser. in Math. vol. 65 1986 Amer. Math. Soc. Providence, RI
    • (1986) CBMS Regional Conf. Ser. in Math. , vol.65
    • Rabinowitz, P.H.1
  • 12
    • 0003701134 scopus 로고    scopus 로고
    • Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
    • second ed. Berlin: Springer-Verlag
    • M. Struwe Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems second ed. 1996 Springer-Verlag Berlin
    • (1996)
    • Struwe, M.1
  • 14
    • 0003678750 scopus 로고
    • Nonlinear Functional Analysis and its Applications, III: Variational Methods and Optimization
    • New York: Springer-Verlag
    • E. Zeidler Nonlinear Functional Analysis and its Applications, III: Variational Methods and Optimization 1985 Springer-Verlag New York
    • (1985)
    • Zeidler, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.