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Article
Differential and Analytical Properties of Semigroups of Operators
We systematically analyze differential and analytical properties of various kinds of semigroups of linear operators, including (local) convoluted C-semigroups and ultradistribution semigroups. The study of differ...
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Article
Abstract time-fractional equations: Existence and growth of solutions
We contribute to the existence theory of abstract time-fractional equations by stating the sufficient conditions for generation of not exponentially bounded α-times C-regularized resolvent families (α > 1) in seq...
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Article
Abstract Volterra equations in locally convex spaces
A general class of (a, k)-regularized C-resolvent families is one of efficient research tools for dealing with non-degenerate abstract Volterra equations of scalar type. The main purpose of this expository paper ...
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Article
On a class of time-fractional differential equations
In this paper we investigate Cauchy problem for a class of time-fractional differential equation
(0.1) $$\begin{gath... -
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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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Article
On the Cusa–Huygens inequality
Sharp bounds of various kinds for the famous unnormalized sinc function defined by \((\sin x)/x\) ...
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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 \(\sin x /x\) ...
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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...
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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...
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Chapter
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...
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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...
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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 ...
