D. K. K. Vamsi, Pallav Kumar Baruah
Abstract:
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.
Submitted February 1, 2012. Published March 30, 2012.
Math Subject Classifications: 34B09, 34B27, 34L15, 47J25.
Key Words: Regular problems; singular problems; singular interface problems;
time scale; dynamic equation; Green's matrix.
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Pallav Kumar Baruah Department of Mathematics and computer Science Sri Sathya Sai Institute of Higher Learning Prasanthi Nilayam, Puttaparthi Ananthapur, Andhra-Pradesh, 515134, India email: pkbaruah@sssihl.edu.in |
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Dasu Krishna Kiran Vamsi Department of Mathematics and computer Science Sri Sathya Sai Institute of Higher Learning Prasanthi Nilayam, Puttaparthi Ananthapur, Andhra-Pradesh, 515134, India email: dkkvamsi@gmail.com |
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