Geodesic
Oscillation theory for a pair of second order dynamic equations with a singular interface
Electronic Journal of Differential Equations, Tome 2008 (2008).

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

Summary: 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},
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     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a42/}
}
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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/