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On singular initial value problem for nonlinear Fredholm integrodifferential equations

Smarda Z.

Fasciculi Mathematici

2007

Nr 37

79-85

There are given conditions for the solvability of the singular initial value problem for Fredholrn integrodifferential equations. The continuous dependence of solutions on a parameter is investigated as well.

Existence and uniqueness of classical solutions to semilinear Darboux problems together with nonstandard conditions with integrals

Byszewski L.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2003

[Z] 43(2)

169-183

The existence and uniqueness of classical solutions to semilinear hyperbolic differential Darboux problems for the equation [formula] together with nonstandard conditions with integrals in bounded and unbounded domains are studied.

An application of the Green method to a determination of unique solutions of iterated parabolic-elliptic problems

Hachaj J.

Fasciculi Mathematici

1999

Nr 30

37-56

The aim of the paper is an application of the Green method and the Banach contraction theorem to a determination of unique classical solutions of iterated parabolic-elliptic boundary value problems.