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Volumn 323, Issue 1, 2006, Pages 413-425

Positive solutions of nonlinear singular third-order two-point boundary value problem

Author keywords

Fixed point theorem; Nonlinear singular boundary value problem; Positive solution

Indexed keywords


EID: 33747787292     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.10.037     Document Type: Article
Times cited : (90)

References (27)
  • 1
    • 22644449268 scopus 로고    scopus 로고
    • Positive solutions and eigenvalues of conjugate boundary value problems
    • Agarwal R.P., Bohner M., and Wong P.J.Y. Positive solutions and eigenvalues of conjugate boundary value problems. Proc. Edinburgh Math. Soc. 42 (1999) 349-374
    • (1999) Proc. Edinburgh Math. Soc. , vol.42 , pp. 349-374
    • Agarwal, R.P.1    Bohner, M.2    Wong, P.J.Y.3
  • 3
    • 0032031149 scopus 로고    scopus 로고
    • Multiple positive solutions for a three-point boundary value problem
    • Anderson D. Multiple positive solutions for a three-point boundary value problem. Math. Comput. Modelling 27 6 (1998) 49-57
    • (1998) Math. Comput. Modelling , vol.27 , Issue.6 , pp. 49-57
    • Anderson, D.1
  • 4
    • 0035426481 scopus 로고    scopus 로고
    • Multiple positive solutions to a third-order discrete focal boundary value problem
    • Anderson D., and Avery R.I. Multiple positive solutions to a third-order discrete focal boundary value problem. Comput. Math. Appl. 42 (2001) 333-340
    • (2001) Comput. Math. Appl. , vol.42 , pp. 333-340
    • Anderson, D.1    Avery, R.I.2
  • 5
    • 0000934317 scopus 로고
    • The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
    • Cabada A. The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems. J. Math. Anal. Appl. 185 (1994) 302-320
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 302-320
    • Cabada, A.1
  • 6
    • 0001258818 scopus 로고
    • The method of lower and upper solutions for third-order periodic boundary value problems
    • Cabada A. The method of lower and upper solutions for third-order periodic boundary value problems. J. Math. Anal. Appl. 195 (1995) 568-589
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 568-589
    • Cabada, A.1
  • 7
    • 0141738761 scopus 로고    scopus 로고
    • On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
    • Cabada A., Grossinbo M.R., and Minhos F. On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions. J. Math. Anal. Appl. 285 (2003) 174-190
    • (2003) J. Math. Anal. Appl. , vol.285 , pp. 174-190
    • Cabada, A.1    Grossinbo, M.R.2    Minhos, F.3
  • 8
    • 0035285187 scopus 로고    scopus 로고
    • Extremality and comparison results for discontinuous third order functional initial-boundary value problems
    • Cabada A., and Heikkilä S. Extremality and comparison results for discontinuous third order functional initial-boundary value problems. J. Math. Anal. Appl. 255 (2001) 195-212
    • (2001) J. Math. Anal. Appl. , vol.255 , pp. 195-212
    • Cabada, A.1    Heikkilä, S.2
  • 9
    • 0034831843 scopus 로고    scopus 로고
    • Uniqueness, comparison and existence results for third order initial-boundary value problems
    • Cabada A., and Heikkilä S. Uniqueness, comparison and existence results for third order initial-boundary value problems. Comput. Math. Appl. 41 (2001) 607-618
    • (2001) Comput. Math. Appl. , vol.41 , pp. 607-618
    • Cabada, A.1    Heikkilä, S.2
  • 10
    • 0033211011 scopus 로고    scopus 로고
    • Existence of solution for discontinuous third order boundary value problems
    • Cabada A., and Lois S. Existence of solution for discontinuous third order boundary value problems. J. Comput. Appl. Math. 110 (1999) 105-114
    • (1999) J. Comput. Appl. Math. , vol.110 , pp. 105-114
    • Cabada, A.1    Lois, S.2
  • 11
    • 0000510856 scopus 로고    scopus 로고
    • Triple positive symmetric solutions for a Lidstone boundary value problem
    • Davis J.M., and Henderson J. Triple positive symmetric solutions for a Lidstone boundary value problem. Differential Equations Dynam. Systems 7 (1999) 321-330
    • (1999) Differential Equations Dynam. Systems , vol.7 , pp. 321-330
    • Davis, J.M.1    Henderson, J.2
  • 12
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • Erbe L.H., and Wang H. 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
  • 13
    • 0003902556 scopus 로고
    • Third Order Linear Differential Equations
    • Reidel, Dordrecht
    • Gregus M. Third Order Linear Differential Equations. Math. Appl. (1987), Reidel, Dordrecht
    • (1987) Math. Appl.
    • Gregus, M.1
  • 14
    • 0008683353 scopus 로고
    • Two sorts of boundary-value problems of nonlinear third order differential equations
    • Gregus M. Two sorts of boundary-value problems of nonlinear third order differential equations. Arch. Math. 30 (1994) 285-292
    • (1994) Arch. Math. , vol.30 , pp. 285-292
    • Gregus, M.1
  • 15
    • 0035422798 scopus 로고    scopus 로고
    • Existence result for some third order separated boundary value problems
    • Grossinho M.R., and Minhös F. Existence result for some third order separated boundary value problems. Nonlinear Anal. 47 (2001) 2407-2418
    • (2001) Nonlinear Anal. , vol.47 , pp. 2407-2418
    • Grossinho, M.R.1    Minhös, F.2
  • 18
    • 0000394603 scopus 로고
    • Multiple positive fixed points of nonlinear operators on ordered Banach spaces
    • Leggett R.W., and Williams L.R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979) 673-688
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 673-688
    • Leggett, R.W.1    Williams, L.R.2
  • 19
    • 38249011459 scopus 로고
    • Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems
    • Omari P., and Trombetta M. Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems. Appl. Math. Comput. 50 (1992) 1-21
    • (1992) Appl. Math. Comput. , vol.50 , pp. 1-21
    • Omari, P.1    Trombetta, M.2
  • 20
    • 0141759466 scopus 로고
    • On some three-point problems for third-order differential equations
    • Rachunkova I. On some three-point problems for third-order differential equations. Math. Bohem. 117 (1992) 98-110
    • (1992) Math. Bohem. , vol.117 , pp. 98-110
    • Rachunkova, I.1
  • 21
    • 4244102827 scopus 로고
    • Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications
    • Rusnak J. Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications. Math. Slovaca 40 (1990) 101-110
    • (1990) Math. Slovaca , vol.40 , pp. 101-110
    • Rusnak, J.1
  • 22
    • 0141871130 scopus 로고
    • Existence theorems for a certain nonlinear boundary value problem of the third order
    • Rusnak J. Existence theorems for a certain nonlinear boundary value problem of the third order. Math. Slovaca 37 (1987) 351-356
    • (1987) Math. Slovaca , vol.37 , pp. 351-356
    • Rusnak, J.1
  • 23
    • 0012415906 scopus 로고
    • Method of lower and upper solutions for a third-order three-point regular boundary value problem
    • Senkyrik M. Method of lower and upper solutions for a third-order three-point regular boundary value problem. Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 31 (1992) 60-70
    • (1992) Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. , vol.31 , pp. 60-70
    • Senkyrik, M.1
  • 24
    • 0001553305 scopus 로고
    • Existence of multiple solutions for a third-order three-point regular boundary value problem
    • Senkyrik M. Existence of multiple solutions for a third-order three-point regular boundary value problem. Math. Bohem. 119 (1994) 113-321
    • (1994) Math. Bohem. , vol.119 , pp. 113-321
    • Senkyrik, M.1
  • 25
    • 22944440188 scopus 로고    scopus 로고
    • The existence and multiplicity of positive solutions for a third-order three-point boundary value problem
    • Yao Q. The existence and multiplicity of positive solutions for a third-order three-point boundary value problem. Acta Math. Appl. Sinica 19 1 (2003) 117-122
    • (2003) Acta Math. Appl. Sinica , vol.19 , Issue.1 , pp. 117-122
    • Yao, Q.1
  • 27
    • 84972557535 scopus 로고
    • Existence and uniqueness of solutions for third order nonlinear boundary value problems
    • Zhao W. Existence and uniqueness of solutions for third order nonlinear boundary value problems. Tohoku Math. J. 44 2 (1992) 545-555
    • (1992) Tohoku Math. J. , vol.44 , Issue.2 , pp. 545-555
    • Zhao, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.