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Keywords:
singular ordinary differential equation; higher order boundary value problem; positive solution; existence theorem
singular ordinary differential equation; higher order boundary value problem; positive solution; existence theorem
References:
[1] Agarwal, R. P.: Boundary Value Problems for Higher Order Differential Equations. World Scientific Singapore (1986). MR 1021979 | Zbl 0619.34019
[2] O'Regan, D.: Existence Theory for Nonlinear Ordinary Differential Equations. Kluwer Academic Dordrecht (1997). MR 1449397 | Zbl 1077.34505
[3] Eloe, P. W., Henderson, J.: Singular nonlinear $(k,n-k)$ conjugate boundary value problems. J. Differ. Equations 133 (1997), 136-151. DOI 10.1006/jdeq.1996.3207 | MR 1426760 | Zbl 0870.34031
[4] Agarwal, R. P., O'Regan, D.: Positive solutions for $(p,n-p)$ conjugate boundary value problems. J. Differ. Equations 150 (1998), 462-473. DOI 10.1006/jdeq.1998.3501 | MR 1658664 | Zbl 0920.34027
[5] Ma, R.: Positive solutions for semipositone $(k,n-k)$ conjugate boundary value problems. J. Math. Anal. Appl. 252 (2000), 220-229. DOI 10.1006/jmaa.2000.6987 | MR 1797853 | Zbl 0979.34012
[6] Jiang, D.: Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs. Comput. Math. Appl. 40 (2000), 249-259. DOI 10.1016/S0898-1221(00)00158-9 | MR 1763623 | Zbl 0976.34019
[7] Yang, X.: Green's function and positive solutions for higher-order ODE. Appl. Math. Comput. 136 (2003), 379-393. DOI 10.1016/S0096-3003(02)00056-5 | MR 1937939 | Zbl 1048.34060
[8] Lan, K. Q.: Multiple positive solutions of conjugate boundary value problems with singularities. Appl. Math. Comput. 147 (2004), 461-474. DOI 10.1016/S0096-3003(02)00739-7 | MR 2012586 | Zbl 1054.34032
[9] Wong, P. J. Y.: A system of $(n_{i},p_{i})$ boundary value problems with positive/nonpositive nonlinearities. J. Math. Anal. Appl. 243 (2000), 293-312. DOI 10.1006/jmaa.1999.6671 | MR 1741525 | Zbl 0953.34013
[10] Wong, P. J. Y., Agarwal, R. P.: Multiple solutions for a system of $(n_{i},p_{i})$ boundary value problems. J. Anal. Appl. 19 (2000), 511-528. MR 1769006 | Zbl 1160.34313
[11] Anderson, D. R., Davis, J. M.: Multiple solutions and eigenvalues for third-order right focal boundary value problems. J. Math. Anal. Appl. 267 (2002), 135-157. DOI 10.1006/jmaa.2001.7756 | MR 1886821 | Zbl 1003.34021
[12] Yao, Q.: The existence and multiplicity of positive solutions for a third-order three-point boundary value problem. Acta Math. Appl. Sin., English Ser. 19 (2003), 117-122. DOI 10.1007/s10255-003-0087-1 | MR 2053778 | Zbl 1048.34031
[13] Yao, Q.: Existence of $n$ solutions and/or positive solutions to a semipositone elastic beam equation. Nonlinear Anal. TMA 66 (2007), 138-150. MR 2271642 | Zbl 1113.34013
[14] Yao, Q.: Positive solutions of singular third-order three-point boundary value problems. J. Math. Anal. Appl. 354 (2009), 207-212. DOI 10.1016/j.jmaa.2008.12.057 | MR 2510431 | Zbl 1169.34314
[15] Hewit, E., Stromberg, K.: Real and Abstract Analysis. Springer Berlin (1978).
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