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Keywords:
integral equation; integrable solution; measure of noncompactness
integral equation; integrable solution; measure of noncompactness
Summary:
We give sufficient conditions for the existence of at least one integrable solution of equation $x(t)=f(t)+\int _{0}^{t} K(t,s)g(s,x(s))\mathrm{d}s$. Our assumptions and proofs are expressed in terms of measures of noncompactness.
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