Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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APPLICATION OF FIXED POINT THEOREM FOR UNIQUENESS AND STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS

  • Received : 2017.07.13
  • Accepted : 2017.09.12
  • Published : 2018.01.30
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Abstract

In this paper, we prove the existence, uniqueness and stability of solution for some nonlinear functional-integral equations by using generalized coupled Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aim in Banach space $X=C([a,b],{\mathbb{R}})$. As application we study some volterra integral equations with linear, nonlinear and single kernel.

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References

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