20 citations · 52 across the 19 of their papers we have counts for
24 papers
Generalized exponentially bounded integrated semigroups
Marko Kostic, Stevan Pilipovic, Milica Zigic
The main subject of this paper is the analysis of sequences of exponentially bounded integrated semigroups which are related to Cauchy problems \begin{equation}\label{jed} \frac{\p…
Metrical approximations of functions
B. Chaouchi, M. Kostic, D. Velinov
In this paper, we analyze metrical approximations of functions by trigonometric polynomials and -periodic type functions, where $\emptyset \neq Λ\sub…
Metrical almost periodicity and applications
Marko Kostic
In this paper, we analyze various classes of multi-dimensional almost periodic type functions in general metric. The main classes of functions under our consideration are $({\mathr…
Stepanov pseudo almost periodic functions and applications
K. Khalil, M. Kostić, M. Pinto
In this work, we present basic results and applications of Stepanov pseudo almost periodic functions with measures. Using only the continuity assumption, we prove a new composition…
New Refinements of Cusa-Huygens inequality
Christophe Chesneau, Marko Kostic, Branko Malesevic +2
In the paper, we refine and extend Cusa-Huygens inequality by simple functions. In particular, we determine sharp bounds for of the form …
Doss almost periodic functions, Besicovitch-Doss almost periodic functions and convolution products
Marko Kostic
In the paper under review, we analyze the invariance of Doss almost periodicity and Besicovitch-Doss almost periodicity under the actions of convolution products. We thus continue…
Composition principles for generalized almost periodic functions
Marko Kostic
In this paper, we consider composition principles for generalized almost periodic functions. We prove several new composition principles for the classes of (asymptotically) Stepano…
Quasi-asymptotically almost periodic functions and applications
Marko Kostic
The main aim of this paper is to consider the classes of quasi-asymptotically almost periodic functions and Stepanov quasi-asymptotically almost periodic functions in Banach spaces…
Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems
Marko Kostic
In this paper, we are primarily concerned with the study of entire and analytical solutions of abstract degenerate (multi-term) fractional differential equations with Caputo time-f…
Complex powers of multivalued linear operators with polynomially bounded -resolvent
Marko Kostic
In the paper under review, we construct complex powers of multivalued linear operators with polynomially bounded -resolvent existing on an appropriate region of the complex plan…
Frequently hypercyclic abstract higher-order differential equations
Belkacem Chaouchi, Marko Kostic
In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces. We essentially ap…
Frequently hypercyclic -distribution semigroups and their generalizations
Marko Kostic
In this paper, we introduce the notions of -frequent hypercyclicity and -hypercyclicity for -distribution semigroups in separable Fréchet spaces. We particularl…
On the study of the wave equation set on a singular cylindrical domain
Belkacem Chaouchi, Marko Kostic
In this work we give new regularity results of solutions for the linear wave equation set in a nonsmooth cylindrical domain. Different types of conditions are imposed on the bounda…
-Hypercyclic operators on Fr\' echet spaces
Marko Kostic
In this paper, we investigate -hypercyclicity of linear, not necessarily continuous, operators on Fr\' echet spaces. The notion of lower -hypercyclicity seem…
An Efficient Abstract Method For The Study of An Initial Boundary Value Problem On Singular Domain
Belkacem Chaouchi, Marko Kostic
The present work is devoted to the study of a boundary value problem for second order linear differential equation set on singular cylindrical domain. This problem can be regarded…
A note on (asymptotically) Weyl-almost periodic properties of convolution products
Vladimir E. Fedorov, Marko Kostic
The main aim of this paper is to investigate Weyl--almost periodic properties and asymptotically Weyl--almost periodic properties of convolution products. In such a way, we c…
Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives
Marko Kostic
In the paper under review, we analyze asymptotically almost periodic solutions for a class of (semilinear) fractional relaxation inclusions with Stepanov almost periodic coefficien…
Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions
Marko Kostic
The main purpose of this paper is to introduce the notion of an asymptotically almost periodic ultradistribution and asymptotically almost automorphic ultradistribution with values…
-Hypercyclic and disjoint -hypercyclic properties of binary relations over topological spaces
Marko Kostic
In this paper, we examine various types of -hypercyclic (-topologically transitive) and disjoint -hypercyclic (disjoint -top…
The existence and uniqueness of almost periodic and asymptotically almost periodic solutions of semilinear Cauchy inclusions
Marko Kostic
The main aim of this paper is to investigate almost periodicity and asymptotic almost periodicity of abstract semilinear Cauchy inclusions of first order with (asymptotically) Step…
Generalized weighted pseudo-almost periodic solutions and generalized weighted pseudo-almost automorphic solutions of abstract Volterra integro-differential inclusions
Marko Kostic
In this paper, we analyze the existence and uniqueness of generalized weighted pseudo-almost automorphic solutions of abstract Volterra integro-differential inclusions in Banach sp…
-Frequently hypercyclic -semigroups on complex sectors
Belkacem Chaouchi, Marko Kosti\' c, Stevan Pilipovi\' c +1
We analyze -frequently hypercyclic, -frequently hypercyclic () and frequently hypercyclic -semigroups () defined on complex sectors, working in the setting…
Quasi-equicontinous exponential families of generalized function -semigroups in locally convex spaces
Marko Kosti\' c, Stevan Pilipovi\' c, Daniel Velinov
Our main goal in this paper is to investigate the (q-)exponential -distribution semigroups and (q-)exponential -ultradistribution semigroups in the setting of sequentially co…
Convoluted -cosine functions and semigroups. Relations with ultradistribution and hyperfunction sines
M. Kostić, S. Pilipović
Convoluted -cosine functions and semigroups in a Banach space setting extending the classes of fractionally integrated -cosine functions and semigroups are systematically ana…