Existential Results for Nonlinear Singular Interface Problems involving Second Order Nonlinear Dynamic Equations using Picards Iterative Technique

Volume 4, Issue 3, pp 200--209 http://dx.doi.org/10.22436/jnsa.004.03.03

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Authors

D. K. K. Vamsi - Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam, A.P., India. PALLAV KUMAR BARUAH - Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam, A.P., India.

Abstract

In this paper we give existential results for nonlinear interface problems with a singular interface. The solution is proved to exist for an IVP satisfying matching interface conditions. The picards iterative technique is used. We discuss the theory developed to a problem in the field of applied elasticity.

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Keywords

• regular problems
• singular problems
• singular interface problems
• picards iterative technique

MSC

•  58J47
•  58Cxx
•  46Txx

References

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