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Parametric general fractional calculus: nonlocal operators acting on function with respect to another function
In this paper, we present the definitions and some properties of the general fractional integrals (GFIs) and general fractional derivatives (GFDs) of...
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General Dynamical Systems with a Lyapunov Function
In this chapter we develop a turnpike theory for a class of general dynamical systems in a metric space with a Lyapunov function. This class of...
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A Class of Fractional Integral Operators Involving a Certain General Multiindex Mittag-Leffler Function
The paper is essentially motivated by the demonstrated potential for applications of the presented results in numerous widespread research areas,...
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The Gleason’s problem on normal weight general function spaces in the unit ball of ℂn
In this paper, we first discuss the boundedness of certain integral operator T t on the normal weight general function space F ( p, μ, s ) in the unit...
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Integral Estimates and Multiplier Operators from Normal Weight General Function Spaces to Bloch Type Spaces
In this paper, we investigate the boundedness of the multiplier operator between the normal weight general function space and the normal weight Bloch...
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Global Dynamics of a Predator-Prey Model with a General Growth Rate Function and Carrying Capacity
In this paper, we investigate the global dynamics of a predator-prey model with a general growth rate function and carrying capacity. We prove that...
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Differentiability of the slant function of a general pointwise slant distribution
The aim of the present paper is to determine the rank of smoothness of the slant function corresponding to a general pointwise slant distribution (or...
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Thermodynamic Formalism for General Iterated Function Systems with Measures
This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the...
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General Implicit Function Theorem for Close Map**s
AbstractWe prove a sufficiently general implicit function theorem for map**s that are close to an original one in the uniform metric of the space...
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A two-agent resource allocation scheduling problem with slack due-date assignment and general deterioration function
In order to increase the efficiency of production in a deteriorating environment through competition amongst the individual agents, this study...
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Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum
We discuss two hybrid mean value problems by using the properties of Dirichlet L -functions. The first one is involving a new sum analogue of Dedekind...
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On general sums involving the floor function with applications to k-free numbers
In this paper, we consider sums related to the floor function. We improve previous results for some special arithmetic functions considered by O....
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Efficient function approximation on general bounded domains using splines on a Cartesian grid
Functions on a bounded domain in scientific computing are often approximated using piecewise polynomial approximations on meshes that adapt to the...
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Surge Function
Figure 22.1 is from the Function Gallery chapter, but we repeat it here as it is central to this chapter. In the chapter our goal is to understand...
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Global Stability for a Delay SIR Epidemic Model with General Incidence Function, Observers Design
In (Connell McCuskey, Nonlinear Anal RWA 11:3106–3109, 2010), the authors presented an SIR model of disease transmission with delay in a particular...
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New Type of Fractal Functions for the General Data Sets
In this paper, we prove the existence of the fractal interpolation function corresponding to a general data set using the Rakotch contraction theory...
