Displaying similar documents to “On Cauchy problem for first order nonlinear functional differential equations of non-Volterra’s type”

New optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations

Robert Hakl, Alexander Lomtatidze, Bedřich Půža (2002)

Mathematica Bohemica

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The nonimprovable sufficient conditions for the unique solvability of the problem u ' ( t ) = ( u ) ( t ) + q ( t ) , u ( a ) = c , where C ( I ; ) L ( I ; ) is a linear bounded operator, q L ( I ; ) , c , are established which are different from the previous results. More precisely, they are interesting especially in the case where the operator is not of Volterra’s type with respect to the point a .

Foreward

Žarko Mijajlović (2002)

Review of the National Center for Digitization

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