# Search results for: Mieczysław Cichoń

Computational and Applied Mathematics > 2019 > 38 > 4 > 1-20

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 4 > 3031-3053

*E*be a Banach space with the topological dual $$E^*$$ E ∗ . The aim of this paper is two-fold. On the one hand, we prove some basic properties of Hadamard-type fractional integral operators. These results are related to earlier results about integral operators acting on different function spaces, but for the vector-valued case they are of independent interest. Note that we discuss it...

Mediterranean Journal of Mathematics > 2018 > 15 > 4 > 1-19

Mathematische Nachrichten > 290 > 7 > 1004 - 1016

*A*is the infinitesimal generator of a

*C*

_{0}‐semigroup $\left\{T\right(t),t\ge 0\}$ of contractions on a separable Banach space

*X*and $g:[0,1]\to R$ is a right‐continuous non‐decreasing function. The existence of mild solutions, as well as the compactness of the solution set are obtained via Kakutani–Ky Fan's fixed point theorem in...

Journal of Fixed Point Theory and Applications > 2016 > 18 > 4 > 753-770

Operator Theory: Advances and Applications > Vector Measures, Integration and Related Topics > 115-124

Applied Mathematics and Computation > 2015 > 252 > Complete > 473-483

Mediterranean Journal of Mathematics > 2015 > 12 > 3 > 901-920

*f*has non-polynomial growth...

Acta Mathematicae Applicatae Sinica, English Series > 2014 > 30 > 4 > 1131-1152

*a*and

*b*are continuous real-valued functions on [0, 1],

*η*and

*ζ*are some positive constants...

Advances in Difference Equations > 2014 > 2014 > 1 > 1-18

*μ*. This type of results allows one to treat in a similar manner differential and difference inclusions, as well as impulsive problems and therefore to study the evolution of hybrid systems with very complex (including Zeno) behavior. Our method is based on viewing the Borel...

Discussiones Mathematicae, Differential Inclusions, Control and Optimization > 2013 > 33 > 2 > 171-191

Mediterranean Journal of Mathematics > 2013 > 10 > 2 > 909-926

*I*= [0, 1]. We concentrate on a.e. monotonic solutions for considered problems. The existence result is obtained under the assumption that the functions involved in the investigated equation satisfy Carathéodory conditions. As a solution space we consider both

*L*

_{1}(

*I*) and

*L*

_{ p }(

*I*...

Journal of Mathematical Analysis and Applications > 2012 > 387 > 1 > 419-432

Applied Mathematics and Computation > 2011 > 218 > 6 > 2449-2458

Discussiones Mathematicae, Differential Inclusions, Control and Optimization > 2011 > 31 > 2 > 157-171

Applied Mathematics Letters > 2010 > 23 > 10 > 1310-1313

Applied Mathematics and Computation > 2010 > 215 > 11 > 3824-3829

Nonlinear Analysis > 2009 > 71 > 7-8 > 2936-2943

Nonlinear Analysis > 2005 > 60 > 4 > 651-667

Discussiones Mathematicae, Differential Inclusions, Control and Optimization > 1996 > 16 > 2 > 171-177