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)
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},
     year = {2012},
     volume = {2012},
     zbl = {1244.34114},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a61/}
}
TY  - JOUR
AU  - Vamsi,  D.K.K.
AU  - Baruah,  Pallav Kumar
TI  - Existence of positive solutions and eigenvalues intervals for nonlinear Sturm Liouville problems with a singular interface
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a61/
LA  - en
ID  - EJDE_2012__2012__a61
ER  - 
%0 Journal Article
%A Vamsi,  D.K.K.
%A Baruah,  Pallav Kumar
%T Existence of positive solutions and eigenvalues intervals for nonlinear Sturm Liouville problems with a singular interface
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a61/
%G en
%F EJDE_2012__2012__a61
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/