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This paper presents a mathematical model for problem of stability of non- performing assets (NPA's) growth in banking sector. The various variables leading to high NPA are identified. A sufficient criterion which ensures the damping out of the effects arising out of the perturbations in the variables is obtained. The model assumes prevalence of normal conditions in banking sector in terms of liquidity, political interference and other external factors affecting the stability of NPA. The model emphasizes on growth of NPA's at stable rate to improve banks asset portfolio and quality of service assured by banks.

Mathematical Criteria for Stability of NPA growth Improving Quality of Service for Banks