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2 2015

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On the solutions of a class of nonlinear functional integral quations in space C [0,a]

Özdemir İ., Çakan Ü.

Journal of Mathematics and Applications

2015

Vol. 38

105--114

The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0,a]. The main tool used in our study is associated with the technique of measures of noncompactness. We give also some examples satisfying the conditions of our main theorem but not satisfying the conditions in [8].

Symplectic U7, U8 and U9 singularities

Trębska Ż.

Demonstratio Mathematica

2015

Vol. 48, nr 2

322--347

We use the method of algebraic restrictions to classify symplectic U7, ;U8 and U9 singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.