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On Solutions of a Nonlinear Erdélyi‐Kober Integral Equation

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  • Nurgali K. Ashirbayev
  • Józef Banaś
  • Raina Bekmoldayeva

Abstract

We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi‐Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra‐Stieltjes type. Since the mentioned Erdélyi‐Kober integral equation turns out to be a special case of that of Volterra‐Stieltjes type, we can apply the obtained results to the Erdélyi‐Kober integral equation. Examples illustrating the obtained results will be also included.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:184626
DOI: 10.1155/2014/184626
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