Geodesic
Existence of positive solutions and eigenvalues intervals for nonlinear Sturm Liouville problems with a singular interface
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we define the Green's matrix for a nonlinear Sturm Liouville problem associated with a pair of dynamic equations on time scales with a singularity at the point of interface. Then using iterative techniques, we obtain eigenvalue intervals for which there exist positive solutions. Then we present iterative schemes for approximating the solutions, and discus an example that illustrates the the results obtained.
Classification : 34B09, 34B27, 34L15, 47J25
Keywords: regular problems, singular problems, singular interface problems, time scale, dynamic equation, Green's matrix 
@article{EJDE_2012__2012__a61,
     author = {Vamsi, D.K.K. and Baruah, Pallav Kumar},
     title = {Existence of positive solutions and eigenvalues intervals for nonlinear {Sturm} {Liouville} problems with a singular interface},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a61/}
}
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Vamsi, D.K.K.; Baruah, Pallav Kumar. Existence of positive solutions and eigenvalues intervals for nonlinear Sturm Liouville problems with a singular interface. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a61/