solutions of non-linear integral equations
Arancibia, Alejandro Omón, Jimenez, Manuel Pinto
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Arancibia, Alejandro Omón, Jimenez, Manuel Pinto
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Robert Hakl, Alexander Lomtatidze (2002)
Archivum Mathematicum
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Conditions for the existence and uniqueness of a solution of the Cauchy problem established in [2], are formulated more precisely and refined for the special case, where the function maps the interval into some subinterval , which can be degenerated to a point.
Ivan Kiguradze (1994)
Archivum Mathematicum
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The asymptotic properties of solutions of the equation , are investigated where are locally summable functions, measurable ones and . In particular, it is proved that if , , then each solution with the first derivative vanishing at infinity is of the Kneser type and a set of all such solutions forms a one-dimensional linear space.