Faculty of Civil Engineering

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    On Semi-c-Periodic Functions
    (Hindawi, 2021-01-31)
    M. T. Khalladi, M. Kostic, M. Pinto, A. Rahmani, D. Velinov
    The main aim of this paper is to indicate that the notion of semi-c-periodicity is equivalent with the notion of c-periodicity, provided that c is a nonzero complex number whose absolute value is not equal to 1.
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    Periodic solutions for a higher-order parabolic equation set on a singular domain in R^{N+1}
    (2022)
    B. Chaouchi, M. Kostic, D. Velinov
    The present work is devoted to the study of a higher-order parabolic equation set on a singular domain in R^{N+1}. The existence and uniqueness of a periodic strict solution are discussed in the framework of Holder spaces. The techniques used here are essentially based on the Dunford functional calculus and the methods applied in [1] and [2].
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    Proportional Caputo Fractional Differential Inclusions in Banach Spaces
    (MDPI, 2022-09-18)
    A. Rahmani, W-S. Du, M. T. Khalladi, M. Kostic, D. Velinov
    In this work, we introduce the notion of a (weak) proportional Caputo fractional derivative of order a 2 (0, 1) for a continuous (locally integrable) function u : [0,¥) ! E, where E is a complex Banach space. In our definition, we do not require that the function u( ) is continuously differentiable, which enables us to consider the wellposedness of the corresponding fractional relaxation problems in a much better theoretical way. More precisely, we systematically investigate several new classes of (degenerate) fractional solution operator families connected with the use of this type of fractional derivatives, obeying the multivalued linear approach to the abstract Volterra integro-differential inclusions. The quasi-periodic properties of the proportional fractional integrals as well as the existence and uniqueness of almost periodic-type solutions for various classes of proportional Caputo fractional differential inclusions in Banach spaces are also considered.
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    f-frequently hypercyclic C0-semigroups on complex sectors
    (SPRINGER BASEL AG, 2020-02-04)
    Belkacem Chaouchi, Marko Kostic, Stevan Pilipovic, Daniel Velinov
    We analyze f -frequently hypercyclic, q-frequently hypercyclic (q > 1), and frequently hypercyclic C0-semigroups (q = 1) defined on complex sectors, with values in separable infinite-dimensional Fréchet spaces. Some structural results are given for a general class of F-frequently hypercyclic C0-semigroups, as well. We investigate generalized frequently hypercyclic translation semigroups and generalized frequently hypercyclic semigroups induced by semiflows on weighted function spaces. Several illustrative examples are presented.
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    Slope stability analysis in anisotropic rock masses using interaction matrix method
    (ociety of Geological Engineers and Technicians of Serbia and University of Belgrade – Faculty of Mining & Geology, Belgrade, 2012., 2012)
    Peshevski I, Јovanovski М, Papic J
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    Storm Sewer System Analysis in Urban Areas and Flood Risk Assessment
    (Technical University of Civil Engineeering Bucharest, 2010)
    Popovska Cvetanka, Jovanovski Milorad, Ivanovski Dragan, Peshevski Igor
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    Range of Engineering-Geological properties for some Carbonate Rock complexes from Balkan Peninsula
    (Geologica Macedonica, 2013-04-13)
    Jovanovski Milorad, Shpago Azra; Peshevski Igor