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On the structure of the set of solutions of the weighted Cauchy problem for evolution singular functional differential equations

Kiguradze I., Sokhadze Z.

Fasciculi Mathematici

1998

Nr 28

71-92

The weighted Cauchy problem [...] is considered, where [...] is a singular Volterra operator, [...] is a continuous nondecreasing function, positive on (a,b], and [...] is a norm in Rn .The conditions are found under which this problem possesses Kneser's property, i.e., the set of all its noncontinuable solutions is closed and connected in the topology ofthe space [...]. .