A third order boundary value problem subject to nonlinear boundary conditions

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1. Anderson, D. R., Davis, J. M., 10.1006/jmaa.2001.7756, J. Math. Anal. Appl. 267 (2002), 135-157. (2002) Zbl1003.34021MR1886821DOI10.1006/jmaa.2001.7756
2. Amann, H., 10.1137/1018114, SIAM Rev. 18 (1976), 620-709. (1976) Zbl0345.47044MR0415432DOI10.1137/1018114
3. Cabada, A., Minhós, F., Santos, A. I., 10.1016/j.jmaa.2005.09.065, J. Math. Anal. Appl. 322 (2006), 735-748. (2006) MR2250612DOI10.1016/j.jmaa.2005.09.065
4. Clark, S., Henderson, J., 10.1090/S0002-9939-06-08368-7, Proc. Amer. Math. Soc. 134 (2006), 3363-3372. (2006) Zbl1120.34010MR2231921DOI10.1090/S0002-9939-06-08368-7
5. Franco, D., O'Regan, D., Existence of solutions to second order problems with nonlinear boundary conditions, Discrete Contin. Dyn. Syst. suppl. (2005), 273-280. (2005) MR2018125
6. Graef, J. R., Webb, J. R. L., Third order boundary value problems with nonlocal boundary conditions, Nonlinear Anal. 71 (2009), 1542-1551. (2009) Zbl1189.34034MR2524369
7. Graef, J. R., Yang, B., Positive solutions of a third order nonlocal boundary value problem, Discrete Contin. Dyn. Syst. Ser. S 1 (2008), 89-97. (2008) Zbl1153.34014MR2375585
8. Graef, J. R., Henderson, J., Yang, B., Existence and nonexistence of positive solutions of an $n$-th order nonlocal boundary value problem, Proc. Dynam. Systems Appl. 5 (2008), 186-191. (2008) Zbl1203.34026MR2468138
9. Guidotti, P., Merino, S., Gradual loss of positivity and hidden invariant cones in a scalar heat equation, Differ. Int. Equations 13 (2000), 1551-1568. (2000) Zbl0983.35013MR1787081
10. Guo, D., Lakshmikantham, V., Nonlinear problems in abstract cones, Academic Press, Boston (1988). (1988) Zbl0661.47045MR0959889
11. Infante, G., 10.3934/dcdss.2008.1.99, Discrete Contin. Dyn. Syst. Ser. S 1 (2008), 99-106. (2008) MR2375586DOI10.3934/dcdss.2008.1.99
12. Infante, G., Positive solutions of differential equations with nonlinear boundary conditions, Discrete Contin. Dyn. Syst. suppl. (2003), 432-438. (2003) Zbl1064.34014MR2018144
13. Infante, G., Nonzero solutions of second order problems subject to nonlinear BCs, Dynamic systems and applications. Vol. 5, 222-226, Dynamic, Atlanta, GA (2008). (2008) Zbl1203.34030MR2468144
14. Infante, G., Nonlocal boundary value problems with two nonlinear boundary conditions, Commun. Appl. Anal. 12 (2008), 279-288. (2008) Zbl1198.34025MR2499284
15. Infante, G., Pietramala, P., 10.1016/j.na.2008.11.095, Nonlinear Anal. 71 (2009), 1301-1310. (2009) Zbl1169.45001MR2527550DOI10.1016/j.na.2008.11.095
16. Infante, G., Pietramala, P., A cantilever equation with nonlinear boundary conditions, Electron. J. Qual. Theory Differ. Equ., Special Edition I (2009), 14 pp. (2009) Zbl1201.34041MR2558840
17. Infante, G., Webb, J. R. L., 10.1007/s00030-005-0039-y, NoDEA, Nonlinear Differential Equations Appl. 13 (2006), 249-261. (2006) Zbl1112.34017MR2243714DOI10.1007/s00030-005-0039-y
18. Infante, G., Webb, J. R. L., 10.1017/S0013091505000532, Proc. Edinb. Math. Soc. 49 (2006), 637-656. (2006) MR2266153DOI10.1017/S0013091505000532
19. Kong, L., Wang, J., 10.1016/S0362-546X(99)00143-1, Nonlinear Anal. 42 (2000), 1327-1333. (2000) Zbl0961.34012MR1784078DOI10.1016/S0362-546X(99)00143-1
20. Krasnosel'skiǐ, M. A., Zabreǐko, P. P., Geometrical Methods of Nonlinear Analysis, Springer, Berlin (1984). (1984) MR0736839
21. Lan, K. Q., 10.1112/S002461070100206X, J. London Math. Soc. 63 (2001), 690-704. (2001) Zbl1032.34019MR1825983DOI10.1112/S002461070100206X
22. Minhós, F. M., 10.1016/j.jmaa.2007.08.005, J. Math. Anal. Appl. 339 (2008), 1342-1353. (2008) Zbl1144.34009MR2377091DOI10.1016/j.jmaa.2007.08.005
23. Palamides, P. K., Infante, G., Pietramala, P., 10.1016/j.aml.2009.03.014, Appl. Math. Lett. 22 (2009), 1444-1450. (2009) Zbl1173.34311MR2536830DOI10.1016/j.aml.2009.03.014
24. Palamides, P. K., Palamides, A. P., A third-order 3-point BVP. Applying Krasnosel'skiǐ's theorem on the plane without a Green's function, Electron. J. Qual. Theory Differ. Equ. (2008), 15 pp. (2008) MR2395531
25. Palamides, A. P., Smyrlis, G., Positive solutions to a singular third-order three-point boundary value problem with an indefinitely signed Green's function, Nonlinear Anal. 68 (2008), 2104-2118. (2008) Zbl1153.34016MR2388769
26. Wang, Y., Ge, W., 10.1016/j.camwa.2007.01.002, Comput. Math. Appl. 53 (2007), 144-154. (2007) Zbl1134.34009MR2321687DOI10.1016/j.camwa.2007.01.002
27. Webb, J. R. L., Multiple positive solutions of some nonlinear heat flow problems, Discrete Contin. Dyn. Syst. suppl. (2005), 895-903. (2005) Zbl1161.34007MR2192752
28. Webb, J. R. L., 10.1016/j.na.2005.02.055, Nonlinear Anal. 63 (2005), 672-685. (2005) Zbl1153.34320MR2188140DOI10.1016/j.na.2005.02.055
29. Webb, J. R. L., Infante, G., 10.1112/S0024610706023179, J. London Math. Soc. 74 (2006), 673-693. (2006) Zbl1115.34028MR2286439DOI10.1112/S0024610706023179
30. Webb, J. R. L., Lan, K. Q., Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type, Topol. Methods Nonlinear Anal. 27 (2006), 91-116. (2006) Zbl1146.34020MR2236412
31. Yang, B., Positive solutions of a third-order three-point boundary-value problem, Electron. J. Differ. Equations (2008), 10 pp. (2008) Zbl1172.34317MR2430896
32. Yang, Z., 10.1016/j.jmaa.2005.09.002, J. Math. Anal. Appl. 321 (2006), 751-765. (2006) Zbl1106.34014MR2241153DOI10.1016/j.jmaa.2005.09.002
33. Yao, Q., 10.1016/j.jmaa.2008.12.057, J. Math. Anal. Appl. 354 (2009), 207-212. (2009) Zbl1169.34314MR2510431DOI10.1016/j.jmaa.2008.12.057

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