Solvability of some singular and nonsingular nonlinear third order boundary value problems
D. O'Regan
Annales Polonici Mathematici, Tome 55 (1991), p. 183-194 / Harvested from The Polish Digital Mathematics Library

Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262523
@article{bwmeta1.element.bwnjournal-article-apmv54z2p183bwm,
     author = {D. O'Regan},
     title = {Solvability of some singular and nonsingular nonlinear third order boundary value problems},
     journal = {Annales Polonici Mathematici},
     volume = {55},
     year = {1991},
     pages = {183-194},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv54z2p183bwm}
}
D. O'Regan. Solvability of some singular and nonsingular nonlinear third order boundary value problems. Annales Polonici Mathematici, Tome 55 (1991) pp. 183-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv54z2p183bwm/

[000] [1] R. P. Agarwal, Some new results on two-point problems for higher order differential equations, Funkc. Ekvac. 29 (1986), 197-212. | Zbl 0623.34019

[001] [2] R. P. Agarwal, Existence-uniqueness and iterative methods for third-order boundary value problems, J. Comput. Appl. Math. 17 (1987), 271-289. | Zbl 0617.34008

[002] [3] L. E. Bobisud and D. O'Regan, Existence of solutions to some singular initial value problems, J. Math. Anal. Appl. 133 (1988), 214-230. | Zbl 0646.34003

[003] [4] J. Dugundji and A. Granas, Fixed Point Theory, Vol. 1, Monograf. Mat. 61, PWN, Warszawa 1982.

[004] [5] A. Granas, R. B. Guenther and J. W. Lee, Nonlinear boundary value problems for ordinary differential equations, Dissertationes Math. 244 (1985). | Zbl 0615.34010

[005] [6] A. Granas, R. B. Guenther and J. W. Lee, Nonlinear boundary value problems for some classes of ordinary differential equations, Rocky Mountain J. Math. 10 (1980), 35-58. | Zbl 0476.34017

[006] [7] L. K. Jackson, Existence and uniqueness of solutions of boundary value problems for Lipschitz equations, J. Differential Equations 32 (1979), 76-90. | Zbl 0407.34018

[007] [8] D. O'Regan, Topological transversality: Applications to third order boundary value problems, SIAM J. Math. Anal. 18 (3) (1987), 630-641. | Zbl 0628.34017

[008] [9] D. O'Regan, Singular and nonsingular third order boundary value problems, Proc. Royal Irish Acad. 90A (1990), 29-42.

[009] [10] W. Rudin, Real and Complex Analysis, McGraw-Hill, New York 1966.

[010] [11] S. D. Taliaferro, A nonlinear singular boundary value problem, Nonlinear Anal. 3 (1979), 897-904. | Zbl 0421.34021