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Volumn 58, Issue 2, 2009, Pages 203-215

Positive solutions for a class of boundary-value problems with integral boundary conditions

Author keywords

Boundary value problem; Existence; Fixed point theorem; Integral boundary conditions; Positive solution

Indexed keywords

EXISTENCE; FIXED POINT THEORY; FIXED-POINT THEOREM; FOURTH-ORDER DIFFERENTIAL EQUATIONS; INTEGRAL BOUNDARY CONDITIONS; NONLINEAR BOUNDARY VALUE PROBLEMS; POSITIVE SOLUTION;

EID: 67349249895     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.04.002     Document Type: Article
Times cited : (47)

References (37)
  • 1
    • 0002720957 scopus 로고
    • On the theory of nonlocal boundary value problems
    • Bitsadze A.V. On the theory of nonlocal boundary value problems. Soviet Math. Dock. 30 (1964) 8-10
    • (1964) Soviet Math. Dock. , vol.30 , pp. 8-10
    • Bitsadze, A.V.1
  • 2
    • 0001346162 scopus 로고
    • Some elementary generalizations of linear elliptic boundary value problems
    • Bitsadze A.V., and Samarskii A.A. Some elementary generalizations of linear elliptic boundary value problems. Dokl. Akad. Nauk SSSR 185 (1969) 739-740
    • (1969) Dokl. Akad. Nauk SSSR , vol.185 , pp. 739-740
    • Bitsadze, A.V.1    Samarskii, A.A.2
  • 3
    • 14744288267 scopus 로고    scopus 로고
    • Positive solutions for a fourth order boundary value problem
    • Yang B. Positive solutions for a fourth order boundary value problem. E. J. Qual. Theory Diff. Equ. 3 (2005) 1-17
    • (2005) E. J. Qual. Theory Diff. Equ. , vol.3 , pp. 1-17
    • Yang, B.1
  • 4
    • 0000384610 scopus 로고
    • Nonlocal boundary value problems of the second kind for a Sturm-Liouville operator
    • Il in V., and Moiseev E. Nonlocal boundary value problems of the second kind for a Sturm-Liouville operator. Differential Equations 23 (1987) 979-987
    • (1987) Differential Equations , vol.23 , pp. 979-987
    • Il in, V.1    Moiseev, E.2
  • 6
    • 84950192244 scopus 로고
    • Existence and uniqueness theorem for a bending of an elastic beam equation
    • Gupta C.P. Existence and uniqueness theorem for a bending of an elastic beam equation. Appl. Anal. 26 (1988) 289-304
    • (1988) Appl. Anal. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 7
    • 84963133428 scopus 로고
    • Existence and uniqueness results for some fourth order fully quasilinear boundary value problem
    • Gupta C.P. Existence and uniqueness results for some fourth order fully quasilinear boundary value problem. Appl. Anal. 36 (1990) 169-175
    • (1990) Appl. Anal. , vol.36 , pp. 169-175
    • Gupta, C.P.1
  • 8
    • 0142062919 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problem
    • Liu B. Positive solutions of fourth-order two point boundary value problem. Appl. Math. Comput. 148 (2004) 407-420
    • (2004) Appl. Math. Comput. , vol.148 , pp. 407-420
    • Liu, B.1
  • 9
    • 0242676962 scopus 로고    scopus 로고
    • A three point boundary value problem for nonlinear fourth order differential equations
    • Graef J.R., Qian C., and Yang B. A three point boundary value problem for nonlinear fourth order differential equations. J. Math. Anal. Appl. 287 (2003) 217-233
    • (2003) J. Math. Anal. Appl. , vol.287 , pp. 217-233
    • Graef, J.R.1    Qian, C.2    Yang, B.3
  • 10
    • 33746380226 scopus 로고    scopus 로고
    • A fourth-order four-point right focal boundary value problem
    • Anderson D.R., and Avery R.I. A fourth-order four-point right focal boundary value problem. Rocky Mt. J. Math. 36 2 (2006)
    • (2006) Rocky Mt. J. Math. , vol.36 , Issue.2
    • Anderson, D.R.1    Avery, R.I.2
  • 11
    • 0142061368 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problems
    • Ma R. Positive solutions of fourth-order two point boundary value problems. Ann. Differential Equations 15 (1999) 305-313
    • (1999) Ann. Differential Equations , vol.15 , pp. 305-313
    • Ma, R.1
  • 12
    • 0037442108 scopus 로고    scopus 로고
    • Positive solutions for a second order m-point boundary value problem
    • Guo Y., Shan W., and Ge W. Positive solutions for a second order m-point boundary value problem. J. Comput. Appl. Math. 151 (2003) 415-424
    • (2003) J. Comput. Appl. Math. , vol.151 , pp. 415-424
    • Guo, Y.1    Shan, W.2    Ge, W.3
  • 13
    • 33846103681 scopus 로고    scopus 로고
    • Positive solutions of m-point boundary value problems for higher order ordinary differential equations
    • Guo Y., and Tian J. Positive solutions of m-point boundary value problems for higher order ordinary differential equations. Nonlinear Anal. 66 (2007) 1573-1586
    • (2007) Nonlinear Anal. , vol.66 , pp. 1573-1586
    • Guo, Y.1    Tian, J.2
  • 14
    • 0031276985 scopus 로고    scopus 로고
    • The method of lower and upper solutions for fourth-order two-point boundary value problems
    • Ma R., Zhang J., and Fu S. The method of lower and upper solutions for fourth-order two-point boundary value problems. J. Math. Anal. Appl. 215 (1997) 415-422
    • (1997) J. Math. Anal. Appl. , vol.215 , pp. 415-422
    • Ma, R.1    Zhang, J.2    Fu, S.3
  • 15
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth-order ordinary differential equations
    • Ma R., and Wang H. On the existence of positive solutions of fourth-order ordinary differential equations. Appl. Anal. 59 (1995) 225-231
    • (1995) Appl. Anal. , vol.59 , pp. 225-231
    • Ma, R.1    Wang, H.2
  • 16
    • 0037098593 scopus 로고    scopus 로고
    • On the positive solutions of some nonlinear fourth-order beam equations
    • Bai Z., and Wang H. On the positive solutions of some nonlinear fourth-order beam equations. J. Math. Anal. Appl. 270 (2002) 357-368
    • (2002) J. Math. Anal. Appl. , vol.270 , pp. 357-368
    • Bai, Z.1    Wang, H.2
  • 17
    • 0038346720 scopus 로고    scopus 로고
    • On the number of positive solutions of nonlinear systems
    • Wang H. On the number of positive solutions of nonlinear systems. J. Math. Anal. Appl. 281 (2003) 287-306
    • (2003) J. Math. Anal. Appl. , vol.281 , pp. 287-306
    • Wang, H.1
  • 18
    • 0037058264 scopus 로고    scopus 로고
    • A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems
    • Jiang D.Q., Gao W.J., and Wan A. A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems. Appl. Math. Comput. 132 (2002) 411-421
    • (2002) Appl. Math. Comput. , vol.132 , pp. 411-421
    • Jiang, D.Q.1    Gao, W.J.2    Wan, A.3
  • 19
    • 0031571521 scopus 로고    scopus 로고
    • Solvability of a m-point boundary value problem with nonlinear growth
    • Feng W., and Weeb T.R.L. Solvability of a m-point boundary value problem with nonlinear growth. J. Math. Anal. Appl. 212 (1997) 467-480
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 467-480
    • Feng, W.1    Weeb, T.R.L.2
  • 20
    • 28444478348 scopus 로고    scopus 로고
    • Positive solutions of some singular m-point boundary value problems at non-resonance
    • Wei Z., and Pang C. Positive solutions of some singular m-point boundary value problems at non-resonance. Appl. Math. Comput. 171 (2005) 433-449
    • (2005) Appl. Math. Comput. , vol.171 , pp. 433-449
    • Wei, Z.1    Pang, C.2
  • 21
    • 13844270771 scopus 로고    scopus 로고
    • Positive solutions for m-point boundary-value problems
    • Cheung W., and Ren J. Positive solutions for m-point boundary-value problems. J. Math. Anal. Appl. 303 (2005) 565-575
    • (2005) J. Math. Anal. Appl. , vol.303 , pp. 565-575
    • Cheung, W.1    Ren, J.2
  • 22
    • 53449096982 scopus 로고    scopus 로고
    • Positive solutions for a class of boundary value problem with integral boundary conditions in Banach spaces
    • Feng M., Ji D., and Ge W. Positive solutions for a class of boundary value problem with integral boundary conditions in Banach spaces. J. Comput. Appl. Math. 222 (2008) 351-363
    • (2008) J. Comput. Appl. Math. , vol.222 , pp. 351-363
    • Feng, M.1    Ji, D.2    Ge, W.3
  • 23
    • 1542511255 scopus 로고    scopus 로고
    • Positive solutions of m-point boundary value problems
    • Zhang G., and Sun J. Positive solutions of m-point boundary value problems. J. Math. Anal. Appl. 291 (2004) 406-418
    • (2004) J. Math. Anal. Appl. , vol.291 , pp. 406-418
    • Zhang, G.1    Sun, J.2
  • 24
    • 0036773372 scopus 로고    scopus 로고
    • The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
    • Zhang Z., and Wang J. The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems. J. Comput. Appl. Math. 147 (2002) 41-52
    • (2002) J. Comput. Appl. Math. , vol.147 , pp. 41-52
    • Zhang, Z.1    Wang, J.2
  • 25
    • 34247862360 scopus 로고    scopus 로고
    • Positive solutions for a class of m-point singular boundary value problems
    • Feng M., and Ge W. Positive solutions for a class of m-point singular boundary value problems. Math. Comput. Modelling 46 (2007) 375-383
    • (2007) Math. Comput. Modelling , vol.46 , pp. 375-383
    • Feng, M.1    Ge, W.2
  • 26
    • 0001414103 scopus 로고
    • Existence and uniqueness theorems for fourth-order boundary problems
    • Aftabizadeh A.R. Existence and uniqueness theorems for fourth-order boundary problems. J. Math. Anal. Appl. 116 (1986) 415-426
    • (1986) J. Math. Anal. Appl. , vol.116 , pp. 415-426
    • Aftabizadeh, A.R.1
  • 27
    • 84968518888 scopus 로고
    • Fourth-order two-point boundary value problem
    • Yang Y. Fourth-order two-point boundary value problem. Proc. Amer. Math. Soc. 104 (1988) 175-180
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 175-180
    • Yang, Y.1
  • 28
    • 84968491364 scopus 로고
    • Existence for fourth-order boundary value problem under a two-parameter nonresonance condition
    • Del Pino M.A., and Manasevich R.F. Existence for fourth-order boundary value problem under a two-parameter nonresonance condition. Proc. Amer. Math. Soc. 112 (1991) 81-86
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 81-86
    • Del Pino, M.A.1    Manasevich, R.F.2
  • 29
    • 22344437538 scopus 로고    scopus 로고
    • Positive solutions to a system of second-order nonlocal boundary value problems
    • Yang Z. Positive solutions to a system of second-order nonlocal boundary value problems. Nonlinear Anal. 62 (2005) 1251-1265
    • (2005) Nonlinear Anal. , vol.62 , pp. 1251-1265
    • Yang, Z.1
  • 30
    • 0035866162 scopus 로고    scopus 로고
    • A class of two-point boundary value problems
    • Liu Z., and Zhang X. A class of two-point boundary value problems. J. Math. Anal. Appl. 254 (2001) 599-617
    • (2001) J. Math. Anal. Appl. , vol.254 , pp. 599-617
    • Liu, Z.1    Zhang, X.2
  • 31
    • 36148976423 scopus 로고    scopus 로고
    • Symmetric positive solutions for nonlocal boundary value problems of fourth order
    • Ma H. Symmetric positive solutions for nonlocal boundary value problems of fourth order. Nonlinear Anal. 68 (2008) 645-651
    • (2008) Nonlinear Anal. , vol.68 , pp. 645-651
    • Ma, H.1
  • 32
    • 0034349808 scopus 로고    scopus 로고
    • Second order differential operators with integral boundary conditions and generation of semigroups
    • Gallardo J.M. Second order differential operators with integral boundary conditions and generation of semigroups. Rocky Mt. J. Math. 30 (2000) 1265-1292
    • (2000) Rocky Mt. J. Math. , vol.30 , pp. 1265-1292
    • Gallardo, J.M.1
  • 33
    • 3042530769 scopus 로고    scopus 로고
    • Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems
    • Karakostas G.L., and Tsamatos P.Ch. Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems. Electron. J. Differential Equations 30 (2002) 1-17
    • (2002) Electron. J. Differential Equations , vol.30 , pp. 1-17
    • Karakostas, G.L.1    Tsamatos, P.Ch.2
  • 34
    • 3042533193 scopus 로고    scopus 로고
    • On a nonlocal boundary-value problems for second order nonlinear singular differential equations
    • Lomtatidze A., and Malaguti L. On a nonlocal boundary-value problems for second order nonlinear singular differential equations. Georg. Math. J. 7 (2000) 133-154
    • (2000) Georg. Math. J. , vol.7 , pp. 133-154
    • Lomtatidze, A.1    Malaguti, L.2


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