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Bilateral polynomial equations with unimodular right-hand-side matrices

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2003

tom 13

nr 4

511-514

Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.

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Existence and attractivity for fractional order integral equations in Fréchet spaces

75%

Abbas S., Benchohra M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2013

tom 33

nr 1

47-63

In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Riemann-Liouville fractional order, by using an extension of the Burton-Kirk fixed point theorem in the case of a Fréchet space.

Fractional order impulsive partial hyperbolic differential inclusions with variable times

75%

Abbas S., Benchohra M., Górniewicz L.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2011

tom 31

nr 1

91-114

This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.

Ograniczanie wyników

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 International Journal of Applied Mathematics and Computer Science

2 Abbas S.

2 Benchohra M.

1 Górniewicz L.

1 Kaczorek T.

1 2013

1 2011

1 2003

Wyniki wyszukiwania

Bilateral polynomial equations with unimodular right-hand-side matrices

Existence and attractivity for fractional order integral equations in Fréchet spaces

Fractional order impulsive partial hyperbolic differential inclusions with variable times