On Bellman-Bihari integral inequalities.

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

Integral equivalence of two systems of differential equations

Alexander Haščák, Marko Švec (1982)

Czechoslovak Mathematical Journal

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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 $x (t) = f (t) + \int_{0}^{t} K (t, s) g (s, x (s)) d s$ . Our assumptions and proofs are expressed in terms of measures of noncompactness.

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