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Abstract
Sufficient conditions are found for the global solvability of the weighted Cauchy problem
where π : πΆ([π, π]; π π) β πΏπππ(]π, π]; π π) is a singular Volterra operator, π0 β π π, π : [π, π] β [0, +β[ is a function continuous and positive on ]π, π], and β₯ Β· β₯ is the norm in π π.
Key words and phrases.: Volterra operator; functional differential equation; weighted Cauchy problem; global solvability
Received: 1995-05-21
Published Online: 2010-03-03
Published in Print: 1997-August
Β© 1997 Plenum Publishing Corporation