Geodesic
Positive solution to a singular $(k,n-k)$ conjugate boundary value problem
Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 69-79

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
DOI : 10.21136/MB.2011.141451
Classification : 34B15, 34B16, 34B18, 47N20
Keywords: singular ordinary differential equation; higher order boundary value problem; positive solution; existence theorem 
Yao, Qingliu. Positive solution to a singular $(k,n-k)$ conjugate boundary value problem. Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 69-79. doi: 10.21136/MB.2011.141451
@article{10_21136_MB_2011_141451,
     author = {Yao, Qingliu},
     title = {Positive solution to a singular $(k,n-k)$ conjugate boundary value problem},
     journal = {Mathematica Bohemica},
     pages = {69--79},
     year = {2011},
     volume = {136},
     number = {1},
     doi = {10.21136/MB.2011.141451},
     mrnumber = {2807710},
     zbl = {1224.34085},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141451/}
}
TY  - JOUR
AU  - Yao, Qingliu
TI  - Positive solution to a singular $(k,n-k)$ conjugate boundary value problem
JO  - Mathematica Bohemica
PY  - 2011
SP  - 69
EP  - 79
VL  - 136
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141451/
DO  - 10.21136/MB.2011.141451
LA  - en
ID  - 10_21136_MB_2011_141451
ER  - 
%0 Journal Article
%A Yao, Qingliu
%T Positive solution to a singular $(k,n-k)$ conjugate boundary value problem
%J Mathematica Bohemica
%D 2011
%P 69-79
%V 136
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141451/
%R 10.21136/MB.2011.141451
%G en
%F 10_21136_MB_2011_141451

[1] Agarwal, R. P.: Boundary Value Problems for Higher Order Differential Equations. World Scientific Singapore (1986). | MR | Zbl

[2] O'Regan, D.: Existence Theory for Nonlinear Ordinary Differential Equations. Kluwer Academic Dordrecht (1997). | MR | Zbl

[3] Eloe, P. W., Henderson, J.: Singular nonlinear $(k,n-k)$ conjugate boundary value problems. J. Differ. Equations 133 (1997), 136-151. | DOI | MR | Zbl

[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 | MR | Zbl

[5] Ma, R.: Positive solutions for semipositone $(k,n-k)$ conjugate boundary value problems. J. Math. Anal. Appl. 252 (2000), 220-229. | DOI | MR | Zbl

[6] Jiang, D.: Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs. Comput. Math. Appl. 40 (2000), 249-259. | DOI | MR | Zbl

[7] Yang, X.: Green's function and positive solutions for higher-order ODE. Appl. Math. Comput. 136 (2003), 379-393. | DOI | MR | Zbl

[8] Lan, K. Q.: Multiple positive solutions of conjugate boundary value problems with singularities. Appl. Math. Comput. 147 (2004), 461-474. | DOI | MR | Zbl

[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 | MR | Zbl

[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 | Zbl

[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 | MR | Zbl

[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 | MR | Zbl

[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 | Zbl

[14] Yao, Q.: Positive solutions of singular third-order three-point boundary value problems. J. Math. Anal. Appl. 354 (2009), 207-212. | DOI | MR | Zbl

[15] Hewit, E., Stromberg, K.: Real and Abstract Analysis. Springer Berlin (1978).

Cité par Sources :