Geodesic
Oscillation theory for a pair of second order dynamic equations with a singular interface
Electronic journal of differential equations, Tome 2008 (2008)
In this paper we consider a pair of second order dynamic equations defined on the time scale $I = [a,c]\cup [\sigma(c),b]$. We impose matching interface conditions at the singular interface c. We prove a theorem regarding the relationship between the number of eigenvalues and zeros of the corresponding eigenfunctions.
Classification : 45C05, 34C10
Keywords: eigenvalues, eigenfunctions, dynamic equations, angle function, zeros of a function 
@article{EJDE_2008__2008__a42,
     author = {Baruah,  Pallav Kumar and Vamsi,  Dasu Krishna Kiran},
     title = {Oscillation theory for a pair of second order dynamic equations with a singular interface},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1165.39002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a42/}
}
TY  - JOUR
AU  - Baruah,  Pallav Kumar
AU  - Vamsi,  Dasu Krishna Kiran
TI  - Oscillation theory for a pair of second order dynamic equations with a singular interface
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a42/
LA  - en
ID  - EJDE_2008__2008__a42
ER  - 
%0 Journal Article
%A Baruah,  Pallav Kumar
%A Vamsi,  Dasu Krishna Kiran
%T Oscillation theory for a pair of second order dynamic equations with a singular interface
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a42/
%G en
%F EJDE_2008__2008__a42
Baruah,  Pallav Kumar; Vamsi,  Dasu Krishna Kiran. Oscillation theory for a pair of second order dynamic equations with a singular interface. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a42/