| Title:
|
Positive solution to a singular $(k,n-k)$ conjugate boundary value problem (English) |
| Author:
|
Yao, Qingliu |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
69-79 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Keyword:
|
singular ordinary differential equation |
| Keyword:
|
higher order boundary value problem |
| Keyword:
|
positive solution |
| Keyword:
|
existence theorem |
| MSC:
|
34B15 |
| MSC:
|
34B16 |
| MSC:
|
34B18 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1224.34085 |
| idMR:
|
MR2807710 |
| DOI:
|
10.21136/MB.2011.141451 |
| . |
| Date available:
|
2011-03-31T11:28:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141451 |
| . |
| Reference:
|
[1] Agarwal, R. P.: Boundary Value Problems for Higher Order Differential Equations.World Scientific Singapore (1986). Zbl 0619.34019, MR 1021979 |
| Reference:
|
[2] O'Regan, D.: Existence Theory for Nonlinear Ordinary Differential Equations.Kluwer Academic Dordrecht (1997). Zbl 1077.34505, MR 1449397 |
| Reference:
|
[3] Eloe, P. W., Henderson, J.: Singular nonlinear $(k,n-k)$ conjugate boundary value problems.J. Differ. Equations 133 (1997), 136-151. Zbl 0870.34031, MR 1426760, 10.1006/jdeq.1996.3207 |
| Reference:
|
[4] Agarwal, R. P., O'Regan, D.: Positive solutions for $(p,n-p)$ conjugate boundary value problems.J. Differ. Equations 150 (1998), 462-473. Zbl 0920.34027, MR 1658664, 10.1006/jdeq.1998.3501 |
| Reference:
|
[5] Ma, R.: Positive solutions for semipositone $(k,n-k)$ conjugate boundary value problems.J. Math. Anal. Appl. 252 (2000), 220-229. Zbl 0979.34012, MR 1797853, 10.1006/jmaa.2000.6987 |
| Reference:
|
[6] Jiang, D.: Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs.Comput. Math. Appl. 40 (2000), 249-259. Zbl 0976.34019, MR 1763623, 10.1016/S0898-1221(00)00158-9 |
| Reference:
|
[7] Yang, X.: Green's function and positive solutions for higher-order ODE.Appl. Math. Comput. 136 (2003), 379-393. Zbl 1048.34060, MR 1937939, 10.1016/S0096-3003(02)00056-5 |
| Reference:
|
[8] Lan, K. Q.: Multiple positive solutions of conjugate boundary value problems with singularities.Appl. Math. Comput. 147 (2004), 461-474. Zbl 1054.34032, MR 2012586, 10.1016/S0096-3003(02)00739-7 |
| Reference:
|
[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. Zbl 0953.34013, MR 1741525, 10.1006/jmaa.1999.6671 |
| Reference:
|
[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. Zbl 1160.34313, MR 1769006 |
| Reference:
|
[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. Zbl 1003.34021, MR 1886821, 10.1006/jmaa.2001.7756 |
| Reference:
|
[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. Zbl 1048.34031, MR 2053778, 10.1007/s10255-003-0087-1 |
| Reference:
|
[13] Yao, Q.: Existence of $n$ solutions and/or positive solutions to a semipositone elastic beam equation.Nonlinear Anal. TMA 66 (2007), 138-150. Zbl 1113.34013, MR 2271642 |
| Reference:
|
[14] Yao, Q.: Positive solutions of singular third-order three-point boundary value problems.J. Math. Anal. Appl. 354 (2009), 207-212. Zbl 1169.34314, MR 2510431, 10.1016/j.jmaa.2008.12.057 |
| Reference:
|
[15] Hewit, E., Stromberg, K.: Real and Abstract Analysis.Springer Berlin (1978). |
| . |
