Exact solutions for differential equations in Celestial Mechanics
Abstract There are many problems in Celestial Mechanics which can be reduced to differential equations, either linear or nonlinear. We…
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Lotka, Volterra and their model
Abstract The chemist and statistician Lotka, as well as the mathematician Volterra, studied the ecological problem of a predator population…
On Kantorovich-type Operators in Lp Spaces
Abstract This note is devoted to the study of a linear positive sequence of operators representing an integral form in…
Chebyshev collocation solutions to some nonlinear and singular third-order problems relevant to thin-film flows
Abstract This paper concerns accurate spectral collocation solutions, more precisely Chebyshev collocation (ChC), to some third-order nonlinear and singular boundary…
Control of Semilinear Differential Equations with Moving Singularities
AbstractIn this paper, we present a control problem related to a semilinear differential equation with a moving singularity, i.e., the…
Two complementary approaches of the periodicity detection in astronomical time series
Abstract Estimation of the statistical significance of the peaks appearing in the spectra of various astronomical time series is essential…
Chebfun approximation to structure of positive radial solutions for a class of supercritical semi-linear Dirichlet problems
Abstract We use the Chebfun programming package to approximate numerically the structure of the set of positive radial solutions for…
Accurate Chebfun solutions to third-order nonlinear BVPs on the half-line. Applications in boundary layer theory
Abstract The paper is devoted to obtaining accurate numerical solutions to some third-order nonlinear boundary problems on the real semi-axis…
Fixed point results for non-self operators R₊^{m}-metric spaces
Abstract The purpose of this paper is to discuss some problems of the fixed point theory for non-self operators on…
Szász–Mirakjan–Durrmeyer operators defined by multiple Appell polynomials
Abstract The paper aims at approximating functions through a sequence of linear positive operators of continuous type. First we define…