Displaying similar documents to “Nonlinear functional integral equations of convolution type.”

Nonmonotone nonconvolution functions of positive type and applications

Tomáš Bárta (2012)

Commentationes Mathematicae Universitatis Carolinae

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We present two sufficient conditions for nonconvolution kernels to be of positive type. We apply the results to obtain stability for one-dimensional models of chemically reacting viscoelastic materials.

On the Volterra integral equation with weakly singular kernel

Stanisław Szufla (2006)

Mathematica Bohemica

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We give sufficient conditions for the existence of at least one integrable solution of equation x ( t ) = f ( t ) + 0 t K ( t , s ) g ( s , x ( s ) ) d s . Our assumptions and proofs are expressed in terms of measures of noncompactness.