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    Article

    Metrical Stepanov Almost Automorphy and Applications

    In this paper, we analyze various classes of multi-dimensional Stepanov almost automorphic type functions in general metric. We clarify the main structural properties for the introduced classes of metrically S...

    Belkacem Chaouchi, Marko Kostić in Bulletin of the Iranian Mathematical Socie… (2024)

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    Article

    Positive periodic solutions for certain kinds of delayed q-difference equations with biological background

    This paper specifically focuses on a specific type of q-difference equations that incorporate multiple delays. The main objective is to explore the existence of positive periodic solutions using coincidence degre...

    Marko Kostić, Halis Can Koyuncuoğlu, Youssef N. Raffoul in Annals of Functional Analysis (2023)

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    Article

    On Abstract Third-Order Differential Equation and Its Applications

    In this paper, we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution. We assume that the inhomogeneity appearing in the right-hand t...

    Belkacem Chaouchi, Lakhdar Benaissa in Acta Mathematica Sinica, English Series (2023)

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    Article

    Abstract degenerate Volterra integro-differential equations: inverse generator problem

    In this paper, we investigate the inverse generator problem for abstract degenerate Volterra integro-differential equations in locally convex spaces. The classes of degenerate (ak)-regularized C-resolvent famil...

    Marko Kostić in Periodica Mathematica Hungarica (2022)

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    Article

    Weighted Ergodic Components in \({{\mathbb {R}}}^{n}\)

    In this paper, we analyze various classes of weighted Stepanov ergodic spaces, weighted Weyl ergodic spaces and weighted pseudo-ergodic spaces in ...

    Marko Kostić, Belkacem Chaouchi in Bulletin of the Iranian Mathematical Society (2022)

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    Article

    Multi-dimensional Almost Automorphic Type Functions and Applications

    In this paper, we introduce and analyze several new classes of multi-dimensional almost automorphic functions which generalize the classical one of Bochner. We develop the basic theory for the introduced class...

    Alan Chávez, Kamal Khalil, Marko Kostić in Bulletin of the Brazilian Mathematical Soc… (2022)

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    In-field Experiments for Performance Evaluation of a New Low-Cost Active Multispectral Crop Sensor

    Recent developments in agricultural technologies have made available for use by the farmers a variety of sensors and sensing services. Remote sensing has become particularly popular especially after the releas...

    Aristotelis C. Tagarakis, Marko Kostić in Information and Communication Technologies… (2022)

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    Article

    Georeferenced tractor wheel slip data for prediction of spatial variability in soil physical properties

    The upcoming technological breakthrough in the crop** system will offer a more detailed insight into soil-to-plant, man-to-soil, and man-to-plant impacts, thus improving the forecasting and ensuring more eff...

    Marko Kostić, Miloš Rajković, Nataša Ljubičić, Bojana Ivošević in Precision Agriculture (2021)

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    Article

    Quasi-Asymptotically Almost Periodic Functions and Applications

    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. These classes extend the we...

    Marko Kostić in Bulletin of the Brazilian Mathematical Society, New Series (2021)

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    Article

    New Refinements of Cusa-Huygens Inequality

    In the paper, we refine and extend Cusa-Huygens inequality by simple functions. In particular, we determine sharp bounds for \(\sin x /x\) ...

    Yogesh J. Bagul, Bojan Banjac, Christophe Chesneau, Marko Kostić in Results in Mathematics (2021)

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    Article

    On the Cusa–Huygens inequality

    Sharp bounds of various kinds for the famous unnormalized sinc function defined by \((\sin x)/x\) ...

    Yogesh J. Bagul, Christophe Chesneau in Revista de la Real Academia de Ciencias Ex… (2021)

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    Article

    Reiterative \(m_{n}\) -Distributional Chaos of Type s in Fréchet Spaces

    The main aim of this paper is to consider various notions of (dense) \(m_{n}\) m n -distributional chaos of type s and (dense) reiterative \(m_{n}\) m n -distributional chaos of type s for general seque...

    Marko Kostić in Bulletin of the Malaysian Mathematical Sciences Society (2020)

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    Article

    f-Frequently hypercyclic \(C_{0}\) -semigroups on complex sectors

    We analyze f-frequently hypercyclic, q-frequently hypercyclic ( \(q> 1\) q > 1 ), and frequently hypercyclic \(C_{0}\) C 0 -semigroups ( \(q=1\) q = 1 ) defined on complex sectors,with values in sepa...

    Belkacem Chaouchi, Marko Kostić in Banach Journal of Mathematical Analysis (2020)

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    Article

    Disjoint Distributional Chaos in Fréchet Spaces

    We introduce two different notions of disjoint distributional chaos for sequences of continuous linear operators in Fréchet spaces. We focus special attention to the analysis of some specific classes of linear...

    Marko Kostić in Results in Mathematics (2020)

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    Article

    An efficient abstract method for the study of an initial boundary value problem on singular domain

    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 via a natural change of varia...

    Belkacem Chaouchi, Marko Kostić in Afrika Matematika (2019)

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    Article

    Quasi-equicontinous exponential families of generalized function C-semigroups in locally convex spaces

    Our main goal in this paper is to investigate the quasi-equicon-tinuous exponential C-distribution semigroups and quasi-equicontinuous exponential C-ultradistribution semigroups in the setting of sequentially com...

    Marko Kostić, Stevan Pilipović in Revista de la Real Academia de Ciencias Ex… (2019)

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    Article

    Hypercyclic and Topologically Mixing Properties of Degenerate Multi-term Fractional Differential Equations

    In the paper under review, we investigate hypercyclic and topologically mixing properties of certain classes of abstract degenerate multi-term fractional differential equations with Caputo derivatives. Our res...

    Marko Kostić in Differential Equations and Dynamical Systems (2016)

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    Chapter and Conference Paper

    Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations

    In recent years, considerable effort has been directed toward the topological dynamics of abstract PDEs whose solutions are governed by various types of operator semigroups, fractional resolvent operator famil...

    Marko Kostić in Difference Equations, Discrete Dynamical Systems and Applications (2016)

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    Article

    Abstract differential operators generating fractional resolvent families

    In the paper under review, we consider the generation of fractional resolvent families by abstract differential operators. Our results can be simply incorporated in the study of corresponding abstract time-fra...

    Marko Kostić in Acta Mathematica Sinica, English Series (2014)

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    Article

    Representation of complex powers of C-sectorial operators

    The paper is devoted to the study of representation of complex powers of closed linear operators whose negatives generate equicontinuous (g α , C)-regularized re...

    Chuang Chen, Marko Kostić, Miao Li in Fractional Calculus and Applied Analysis (2014)

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