3,927 research outputs found
A Stepanov version for Favard theory
No full textSome recent papers suggest that the classical Favard theory may be improved, by using the weak version of almost periodicity due to Stepanov: this note is to say that the improvement is just apparent
Further properties of Stepanov--Orlicz almost periodic functions
No full textsummary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated. A particular attention is paid to the Nemytskii operator between spaces of Stepanov--Orlicz almost periodic functions. Finally, we establish an existence and uniqueness result of Bohr almost periodic mild solution to a class of semilinear evolution equations with Stepanov--Orlicz almost periodic forcing term
Stepanov-like C(n)-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations
No full textTyt. z nagł.References p. 468-470.In this paper we introduce and study a new concept called Stepanov-like C(n)-pseudo almost automorphy, which generalizes in a natural fashion both the notions of C(n)-pseudo almost periodicity and that of C(n)-pseudo almost automorphy recently introduced in the literature by the authors. Basic properties of these new functions are investigated. Furthermore, we study and obtain the existence of C(N+m)-pseudo almost automorphic solutions to some nonautonomous higher-order systems of differential equations with Stepanov-like C(m)-pseudo almost automorphic coefficients.Dostępny również w formie drukowanej.SŁOWA KLUCZOWE : KEYWORDS: pseudo almost automorphic C(n)-pseudo almost automorphy, Stepanov-like C(n)-pseudo almost automorphy, exponential dichotomy
Stepanov-like almost automorphic solutions for nonautonomous evolution equations
No full textWe study the convolution of Stepanov-like almost automorphic functions and functions. Also we consider nonautonomous evolution equations, with a periodic operator coefficient and Stepanov-like almost automorphic forcing, and show that, under certain assumptions, any bounded mild solution is almost automorphic
Що відбувається з електричними приладами під час короткого замикання
No full textSuvorova T. M. What happens with electrical devices during short circuit / T. M. Suvorova, V. Stepanov // Тиждень науки-2021. Електротехнічний факультет. Тези доповідей науково-практичної конференції, Запоріжжя, 19-23 квітня 2021 р. / Редкол. : В. В. Наумик (відпов. ред.) Електрон. дані. – Запоріжжя : НУ «Запорізька політехніка», 2021. – С. 365-366
Perspectives of construction robots
No full textStepanov M. A. Perspectives of construction robots / M. A Stepanov, A. M. Gridchin // IOP Conf. Series: Materials Science and Engineering. - 2018. - Vol.327. - 042126.This article is an overview of construction robots features, based on formulating the list of requirements for different types of construction robots in relation to different types of construction works. It describes a variety of construction works and ways to construct new or to adapt existing robot designs for a construction process. Also, it shows the prospects of AIcontrolled machines, implementation of automated control systems and networks on construction sites. In the end, different ways to develop and improve, including ecological aspect, the construction process through the wide robotization, creating of data communication networks and, in perspective, establishing of fully AI-controlled construction complex are formulated
On one-dimensional continua uniformly approximating planar sets
No full textConsider the class of closed connected sets ⊂ R n satisfying length
constraint H 1 () ≤ l with given l > 0. The paper is concerned with the properties
of minimizers of the uniform distance F M of to a given compact set M ⊂ R n ,
F M () := max dist (y, ),
y∈M
where dist (y, ) stands for the distance between y and . The paper deals with
the planar case n = 2. In this case it is proven that the minimizers (apart trivial
cases) cannot contain closed loops. Further, some mild regularity properties as
well as structure of minimizers is studied
Γ-convergence for a class of functionals with deviating argument
No full textThe paper deals with the problem of Γ-convergence of functionals involving nonlocal transformation of argument, in particular, the argument deviation. The property of Γ-convergence of the functionals is related with various types of convergence of inner superposition (composition) operators. The study is conducted in Orlicz spaces. Γ-convergence of functionals with impulsive constraints is also studied as one of the applications. © Heldermann Verlag
Excited State Trapping and the Stepanov Relation with Reference to Photosystem I
No full textAbstractIt has been previously demonstrated that the Stepanov equation provides a rather good description of the absorption/fluorescence spectra in Photosystem I, even though excited state equilibration is not rapid with respect to the excited state decay. In the present article this apparent contradiction is examined analytically for two-state systems and numerically for many-state systems. It is demonstrated that, in the special case of the trapping process being associated with the initially populated state, neither very rapid excited state equilibration nor a transfer equilibrium, which approximates a true Boltzmann distribution, are prerequisites to obtaining a very close approximation to a correct Stepanov result. This interesting conclusion is discussed in terms of plant Photosystem I (PSI-200). It is concluded that whereas, in compartmental modeling, photochemical trapping may be formally associated with the bulk antenna pigments due to the strong energy coupling between them and the trap pigments, this is not the case for the red spectral forms
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