Electron. J. Diff. Equ., Vol. 2010(2010), No. 109, pp. 1-9.

Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method

D. K. K. Vamsi, Pallav Kumar Baruah

Abstract:
In this article, we give bounds for solutions to initial-value problems associated with nonlinear singular interface problems. The singular interface problem is described using a pair of dynamic equations on a time scale. The method of upper and lower solutions intertwined with monotone iterative technique is used.

Submitted May 17, 2010. Published August 6, 2010.
Math Subject Classifications: 34N05, 45G05, 58J47.
Key Words: Regular problems; singular problems; singular interface problems; upper and lower solutions; monotone iterative method.

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Dasu Krishna Kiran Vamsi
Department of Mathematics and Computer Science
Sri Sathya Sai Institute of Higher Learning
Prasanthi Nilayam, India
email: dkkvamsi@gmail.com
Pallav Kumar Baruah
Department of Mathematics and Computer Science
Sri Sathya Sai Institute of Higher Learning
Prasanthi Nilayam, India
email: baruahpk@gmail.com

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