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Volumn 138, Issue 2, 2008, Pages 427-446

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions

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EID: 48849107151     PISSN: 03082105     EISSN: 14737124     Source Type: Journal    
DOI: 10.1017/S0308210506001041     Document Type: Article
Times cited : (111)

References (39)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18 (1976), 620-709.
    • (1976) SIAM Rev , vol.18 , pp. 620-709
    • Amann, H.1
  • 2
    • 0037098593 scopus 로고    scopus 로고
    • On positive solutions of some nonlinear fourth-order beam equations
    • Z. Bai and H. Wang. On positive solutions of some nonlinear fourth-order beam equations. J. Math. Analysis Applic. 270 (2002), 357-368.
    • (2002) J. Math. Analysis Applic , vol.270 , pp. 357-368
    • Bai, Z.1    Wang, H.2
  • 3
    • 0000497756 scopus 로고
    • Uniqueness of positive solutions of nonlinear second-order systems
    • R. Dalmasso. Uniqueness of positive solutions of nonlinear second-order systems. Rev. Mat. Iber. 11 (1995), 247-267.
    • (1995) Rev. Mat. Iber , vol.11 , pp. 247-267
    • Dalmasso, R.1
  • 4
    • 0030186866 scopus 로고    scopus 로고
    • Uniqueness of positive solutions for some nonlinear fourth-order equations
    • R. Dalmasso. Uniqueness of positive solutions for some nonlinear fourth-order equations. J. Math. Analysis Applic. 201 (1996), 152-168.
    • (1996) J. Math. Analysis Applic , vol.201 , pp. 152-168
    • Dalmasso, R.1
  • 5
    • 0037139624 scopus 로고    scopus 로고
    • Upper and lower solutions method for fully nonlinear boundary-value problems
    • J. Ehme, P. Eloe and J. Henderson. Upper and lower solutions method for fully nonlinear boundary-value problems. J. Diff. Eqns 180 (2002), 51-64.
    • (2002) J. Diff. Eqns , vol.180 , pp. 51-64
    • Ehme, J.1    Eloe, P.2    Henderson, J.3
  • 6
    • 11044234995 scopus 로고    scopus 로고
    • Fourth-order problems with nonlinear boundary conditions
    • D. Franco, D. O'Regan and J. Perán. Fourth-order problems with nonlinear boundary conditions. J. Computat. Appl. Math. 174 (2005), 315-327.
    • (2005) J. Computat. Appl. Math , vol.174 , pp. 315-327
    • Franco, D.1    O'Regan, D.2    Perán, J.3
  • 7
    • 85027234446 scopus 로고    scopus 로고
    • On a nonlinear boundary-value problem for fourth-order equations
    • J. R. Graef and B. Yang. On a nonlinear boundary-value problem for fourth-order equations. Applic. Analysis 72 (1999), 439-448.
    • (1999) Applic. Analysis , vol.72 , pp. 439-448
    • Graef, J.R.1    Yang, B.2
  • 8
    • 0002715198 scopus 로고    scopus 로고
    • Existence and nonexistence of positive solutions of fourth-order nonlinear boundary-value problems
    • J. R. Graef and B. Yang. Existence and nonexistence of positive solutions of fourth-order nonlinear boundary-value problems. Applic. Analysis 74 (2000), 201-214.
    • (2000) Applic. Analysis , vol.74 , pp. 201-214
    • Graef, J.R.1    Yang, B.2
  • 9
    • 0242676962 scopus 로고    scopus 로고
    • A three point boundary-value problem for nonlinear fourth-order differential equations
    • J. R. Graef, Ch. Qian and B. Yang. A three point boundary-value problem for nonlinear fourth-order differential equations. J. Math. Analysis Applic. 287 (2003), 217-233.
    • (2003) J. Math. Analysis Applic , vol.287 , pp. 217-233
    • Graef, J.R.1    Qian, C.2    Yang, B.3
  • 11
    • 14844336969 scopus 로고    scopus 로고
    • On eigenvalue intervals and eigenfunctions of fourth-order singular boundary-value problems
    • Z. Hao and L. Debnath. On eigenvalue intervals and eigenfunctions of fourth-order singular boundary-value problems. Appl. Math. Lett. 18 (2005), 543-553.
    • (2005) Appl. Math. Lett , vol.18 , pp. 543-553
    • Hao, Z.1    Debnath, L.2
  • 12
    • 33846045937 scopus 로고    scopus 로고
    • Nonlinear non-local boundary-value problems and perturbed Hammerstein integral equations
    • G. Infante and J. R. L. Webb. Nonlinear non-local boundary-value problems and perturbed Hammerstein integral equations. Proc. Edinb. Math. Soc. 49 (2006), 637-656.
    • (2006) Proc. Edinb. Math. Soc , vol.49 , pp. 637-656
    • Infante, G.1    Webb, J.R.L.2
  • 13
    • 34250495954 scopus 로고
    • Linear self-adjoint multi-point boundary-value problems and related approximation schemes
    • J. W. Jerome. Linear self-adjoint multi-point boundary-value problems and related approximation schemes. Numer. Math. 15 (1970), 433-449.
    • (1970) Numer. Math , vol.15 , pp. 433-449
    • Jerome, J.W.1
  • 15
    • 1942476075 scopus 로고    scopus 로고
    • Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
    • P. Korman. Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems. Proc. R. Soc. Edinb. A134 (2004), 179-190.
    • (2004) Proc. R. Soc. Edinb. A , vol.134 , pp. 179-190
    • Korman, P.1
  • 16
    • 4644315816 scopus 로고    scopus 로고
    • Countably many solutions of a fourth-order boundary-value problem
    • N. Kosmatov. Countably many solutions of a fourth-order boundary-value problem. Electron. J. Qual. Theory Diff. Eqns 12 (2004), 1-15.
    • (2004) Electron. J. Qual. Theory Diff. Eqns , vol.12 , pp. 1-15
    • Kosmatov, N.1
  • 18
    • 0035379593 scopus 로고    scopus 로고
    • Multiple positive solutions of semilinear differential equations with singularities
    • K. Q. Lan. Multiple positive solutions of semilinear differential equations with singularities. J. Lond. Math. Soc. 63 (2001), 690-704.
    • (2001) J. Lond. Math. Soc , vol.63 , pp. 690-704
    • Lan, K.Q.1
  • 19
    • 0001583818 scopus 로고    scopus 로고
    • Positive solutions of semilinear differential equations with singularities
    • K. Q. Lan and J. R. L. Webb. Positive solutions of semilinear differential equations with singularities. J. Diff. Eqns 148 (1998), 407-421.
    • (1998) J. Diff. Eqns , vol.148 , pp. 407-421
    • Lan, K.Q.1    Webb, J.R.L.2
  • 20
    • 21244497282 scopus 로고    scopus 로고
    • Existence and multiplicity of solutions of a kind of fourth-order boundary-value problem
    • F. Li, Q. Zhang, and Z. Liang. Existence and multiplicity of solutions of a kind of fourth-order boundary-value problem. Nonlin. Analysis 62 (2005), 803-816.
    • (2005) Nonlin. Analysis , vol.62 , pp. 803-816
    • Li, F.1    Zhang, Q.2    Liang, Z.3
  • 21
    • 0142062919 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary-value problems
    • B. Liu. Positive solutions of fourth-order two point boundary-value problems. Appl. Math. Computat. 148 (2004), 407-420.
    • (2004) Appl. Math. Computat , vol.148 , pp. 407-420
    • Liu, B.1
  • 22
    • 4344675067 scopus 로고    scopus 로고
    • Double positive solutions of fourth-order nonlinear boundary-value problems
    • Y. Liu and W. Ge. Double positive solutions of fourth-order nonlinear boundary-value problems. Applic. Analysis 82 (2003), 369-380.
    • (2003) Applic. Analysis , vol.82 , pp. 369-380
    • Liu, Y.1    Ge, W.2
  • 23
    • 84972530277 scopus 로고
    • Self-adjoint multi-point boundary-value problems
    • W. S. Loud. Self-adjoint multi-point boundary-value problems. Pac. J. Math. 24 (1968), 303-317.
    • (1968) Pac. J. Math , vol.24 , pp. 303-317
    • Loud, W.S.1
  • 24
    • 33646381089 scopus 로고    scopus 로고
    • Positive solution for m-point boundary-value problems of fourth-order
    • H. Ma. Positive solution for m-point boundary-value problems of fourth-order. J. Math. Analysis Applic. 321 (2006), 37-49.
    • (2006) J. Math. Analysis Applic , vol.321 , pp. 37-49
    • Ma, H.1
  • 25
    • 33750315072 scopus 로고    scopus 로고
    • Existence and location result for a fourth-order boundary-value problem
    • F. Minhós, T. Gyulov and A. I. Santos. Existence and location result for a fourth-order boundary-value problem. Discrete Cont. Dynam. Syst. Suppl. (2005), 662-671.
    • (2005) Discrete Cont. Dynam. Syst. Suppl , pp. 662-671
    • Minhós, F.1    Gyulov, T.2    Santos, A.I.3
  • 27
    • 0002872438 scopus 로고
    • Solvability of some fourth (and higher) order singular boundary-value problems
    • D. O'Regan. Solvability of some fourth (and higher) order singular boundary-value problems. J. Math. Analysis Applic. 161 (1991), 78-116.
    • (1991) J. Math. Analysis Applic , vol.161 , pp. 78-116
    • O'Regan, D.1
  • 28
    • 0041362004 scopus 로고    scopus 로고
    • The periodic Euler-Bernoulli equation
    • V. G. Papanicolaou. The periodic Euler-Bernoulli equation. Trans. Am. Math. Soc. 355 (2003), 3727-3759.
    • (2003) Trans. Am. Math. Soc , vol.355 , pp. 3727-3759
    • Papanicolaou, V.G.1
  • 29
    • 7044261045 scopus 로고    scopus 로고
    • Infinitely many solutions of superlinear fourth-order boundary-value problems
    • B. P. Rynne. Infinitely many solutions of superlinear fourth-order boundary-value problems. Topolog. Meth. Nonlin. Analysis 19 (2002), 303-312.
    • (2002) Topolog. Meth. Nonlin. Analysis , vol.19 , pp. 303-312
    • Rynne, B.P.1
  • 30
    • 0036749699 scopus 로고    scopus 로고
    • Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations
    • D. Smets and J. B. van den Berg. Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations. J. Diff. Eqns 184 (2002), 78-96.
    • (2002) J. Diff. Eqns , vol.184 , pp. 78-96
    • Smets, D.1    van den Berg, J.B.2
  • 33
    • 33750283093 scopus 로고    scopus 로고
    • Fourth-order problems with fully nonlinear boundary conditions
    • G. Wang, M. Zhou and L. Sun. Fourth-order problems with fully nonlinear boundary conditions. J. Math. Analysis Applic. 325 (2007), 130-140.
    • (2007) J. Math. Analysis Applic , vol.325 , pp. 130-140
    • Wang, G.1    Zhou, M.2    Sun, L.3
  • 34
    • 48849111256 scopus 로고    scopus 로고
    • Uniqueness of the principal eigenvalue in non-local boundary-value problems
    • J. R. L. Webb. Uniqueness of the principal eigenvalue in non-local boundary-value problems. Discrete Contin. Dynam. Syst. Ser. S 1 (2008), 177-186.
    • (2008) Discrete Contin. Dynam. Syst. Ser. S , vol.1 , pp. 177-186
    • Webb, J.R.L.1
  • 35
    • 44649083909 scopus 로고    scopus 로고
    • Positive solutions of nonlocal boundary value problems involving integral conditions
    • doi: 10.1007/s00030-007-4067-7
    • J. R. L. Webb and G. Infante. Positive solutions of nonlocal boundary value problems involving integral conditions. Nonlin. Diff. Eqns Applic. (doi: 10.1007/s00030-007-4067-7.)
    • Nonlin. Diff. Eqns Applic
    • Webb, J.R.L.1    Infante, G.2
  • 36
    • 33846102882 scopus 로고    scopus 로고
    • Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary-value problems of local and non-local type
    • J. R. L. Webb and K. Q. Lan. Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary-value problems of local and non-local type. Topolog. Meth. Nonlin. Analysis 27 (2006), 91-116.
    • (2006) Topolog. Meth. Nonlin. Analysis , vol.27 , pp. 91-116
    • Webb, J.R.L.1    Lan, K.Q.2
  • 37
    • 33747034225 scopus 로고    scopus 로고
    • The method of lower and upper solutions for fourth-order singular m-point boundary-value problems
    • Z. Wei and C. Pang. The method of lower and upper solutions for fourth-order singular m-point boundary-value problems. J. Math. Analysis Applic. 322 (2006), 675-692.
    • (2006) J. Math. Analysis Applic , vol.322 , pp. 675-692
    • Wei, Z.1    Pang, C.2
  • 38
    • 1242285075 scopus 로고    scopus 로고
    • Positive solutions for eigenvalue problems of fourth-order elastic beam equations
    • Q. Yao. Positive solutions for eigenvalue problems of fourth-order elastic beam equations. Appl. Math. Lett. 17 (2004), 237-243.
    • (2004) Appl. Math. Lett , vol.17 , pp. 237-243
    • Yao, Q.1
  • 39
    • 27344442755 scopus 로고    scopus 로고
    • On the positive solutions of a nonlinear fourth-order boundary-value problem with two parameters
    • Q. Yao. On the positive solutions of a nonlinear fourth-order boundary-value problem with two parameters. Applic. Analysis 83 (2004), 97-107.
    • (2004) Applic. Analysis , vol.83 , pp. 97-107
    • Yao, Q.1


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