Multiplicity results for a class of fourth order semipositone \(m\)-point boundary value problems. (English) Zbl 1255.34020
The authors study the existence of multiple solutions for a class of fourth-order semipositone \(m\)-point boundary value problems with a parameter. By using bifurcation techniques, they obtain two results on the existence of multiple solutions when the parameter changes in some region.
Reviewer: Yulian An (Shanghai)
MSC:
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
34B08 | Parameter dependent boundary value problems for ordinary differential equations |
34C23 | Bifurcation theory for ordinary differential equations |
References:
[1] | DOI: 10.1006/jmaa.1997.5520 · Zbl 0883.34020 · doi:10.1006/jmaa.1997.5520 |
[2] | DOI: 10.1016/S0096-3003(97)81653-0 · Zbl 0910.34032 · doi:10.1016/S0096-3003(97)81653-0 |
[3] | Liu Y, Bound. Value Probl. 2009 (2009) |
[4] | DOI: 10.1006/jmaa.2000.7320 · Zbl 0988.34009 · doi:10.1006/jmaa.2000.7320 |
[5] | DOI: 10.1016/j.na.2007.02.043 · Zbl 1141.34009 · doi:10.1016/j.na.2007.02.043 |
[6] | DOI: 10.1016/S0362-546X(01)00547-8 · Zbl 1042.34527 · doi:10.1016/S0362-546X(01)00547-8 |
[7] | DOI: 10.1017/S0308210506001041 · Zbl 1167.34004 · doi:10.1017/S0308210506001041 |
[8] | DOI: 10.1016/j.na.2006.01.014 · Zbl 1119.34018 · doi:10.1016/j.na.2006.01.014 |
[9] | Xu X, Electron. J. Differ. Eqns. 2004 pp 1– (2004) |
[10] | DOI: 10.1016/j.jmaa.2003.11.034 · Zbl 1069.34037 · doi:10.1016/j.jmaa.2003.11.034 |
[11] | DOI: 10.1016/0022-1236(71)90030-9 · Zbl 0212.16504 · doi:10.1016/0022-1236(71)90030-9 |
[12] | DOI: 10.1016/0022-0396(73)90061-2 · Zbl 0272.35017 · doi:10.1016/0022-0396(73)90061-2 |
[13] | DOI: 10.1016/j.aml.2007.07.029 · Zbl 1152.34319 · doi:10.1016/j.aml.2007.07.029 |
[14] | DOI: 10.1016/j.na.2009.02.113 · Zbl 1178.34029 · doi:10.1016/j.na.2009.02.113 |
[15] | DOI: 10.1016/j.na.2005.07.007 · Zbl 1101.34006 · doi:10.1016/j.na.2005.07.007 |
[16] | DOI: 10.1016/j.na.2006.10.014 · Zbl 1142.34010 · doi:10.1016/j.na.2006.10.014 |
[17] | DOI: 10.1007/s10587-006-0092-7 · Zbl 1164.34329 · doi:10.1007/s10587-006-0092-7 |
[18] | DOI: 10.1155/2008/254593 · Zbl 1154.34008 · doi:10.1155/2008/254593 |
[19] | DOI: 10.1016/j.na.2009.01.046 · Zbl 1173.34310 · doi:10.1016/j.na.2009.01.046 |
[20] | DOI: 10.1016/j.na.2009.06.061 · Zbl 1200.34023 · doi:10.1016/j.na.2009.06.061 |
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