2025 September - 52 articles
The Sturm–Liouville problem was initially addressed by the celebrated French mathematicians Jacques Charles François Sturm (1803–1855) and Joseph Liouville (1809–1892) for second-order linear ordinary differential equations of the following form:
ddx[p(x)dydx] + q(x)y = −λw(x)y (p(t)y′(t))′ + (q(t) + λω(t))y(t) = 0
which is subject to certain boundary conditions on a closed finite interval. The values of λ, said to be the eigenvalues of the problem are unspecified in the equation and have to be found in such a way that the above differential equation has a non-trivial solution satisfying the boundary conditions. This research focuses on the replacement of the λ-parameter by a control function to be synthesized in such a way that the prescribed two-point boundary conditions are satisfied. View this paper
In this research work, we proposed and studied a fractional-order model for Human African Trypanosomiasis (HAT) disease transmission, incorporating three control strategies: health education campaigns, prevention measures, and use of insecticides. Th...
An objective existence of damped oscillation regular structures from the proton “effective” electromagnetic form factor data, appearing when these data are described by a two parametric Tomasi-Gustafsson-Rekalo function, is investigated....
Intensity–duration–frequency (IDF) curves, which relate rainfall intensity (i), storm duration (d), and return period (T), are cornerstone tools for planning, designing, and operating hydraulic works. Since Sherman’s pioneering form...
Above-ground outdoor swimming pools are increasingly popular due to their affordability and ease of installation, yet maintaining optimal water temperature under variable climate conditions remains challenging. Our study develops a theoretical and ma...
We present a novel and completely deterministic method to model chaotic orbits in nonlinear discrete dynamics, taking the quadratic map as an example. This method is based on the resurgent analysis developed by Écalle to perform the resummatio...
This work breaks a 180-year-old framework created by Hamilton both with regard to the use of imaginary quantities and the definition of a quaternion product. The general quaternionic algebraic structure we are considering was provided by the author i...
Parameterized quantum circuits play a key role in quantum computing. Measuring the suitability of such a circuit for solving a class of problems is needed. One such promising measure is the expressivity of a circuit, which is defined in two main vari...
We study equations with real polynomials of arbitrary degree, such that each coefficient has a small, individual error; this may originate, for example, from imperfect measuring. In particular, we study the influence of the errors on the roots of the...
This paper investigates quiescent solitons in optical fibers and crystals, modeled by the complicated Ginzburg–Landau equation incorporating nonlinear chromatic dispersion and six self-phase modulation structures introduced by Kudryashov. The m...
This paper presents a non-intrusive method for estimating the distance between a camera and a human subject using a monocular vision system and statistically derived interpupillary distance (IPD) values. The proposed approach eliminates the need for...
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