7.3] concerning a class of nonhomogeneous linear differential equations. We provide a short proof for the sake of completeness. Lemma 3.3 Given a bounded function y0:R→Rk and a positive number a, there exists a unique bounded solution of the system in Rkb given by the following b equations...
This paper deals with the existence and uniqueness of periodic solutions for a nonlinear fractional pantograph coupled system with-Caputo derivative. We employ the coincidence degree theory of Mawhin to established our proofs. An illustration will be presented to demonstrate the validity of the given ...
Versions Notes Abstract In the present article, we research the existence of the positive periodic solutions for a mathematical model that describes the propagation dynamics of a pathogen living within a vector population over a plant population. We propose a generalized compartment model of the suscep...
Versions Notes Abstract Laser-induced periodic surface structures (LIPSS) are a simple and robust route for the nanostructuring of solids that can create various surface functionalities featuring applications in optics, medicine, tribology, energy technologies, etc. While the current laser technologies alre...
However, under the International Financial Reporting Standards, once a contract is classified as an insurance contract, such classification shall remain so until the contract expires. This has led to difference in the measurement of the liabilities relating to such contracts under the two reporting ...
Review Reports Versions Notes Abstract The calculation of moments of area is one of the most fundamental aspects of engineering mechanics for calculating the properties of beams or for the determination of invariants in different kind of geometries. While a variety of shapes, such as circles, rectan...
Versions Notes Abstract The aim of this paper was to provide a more scientific and effective analysis of the fluctuation pattern of the Chinese potato market by extracting the characteristics of the price fluctuation cycle to effectively grasp the characteristics of price changes in the potato market...
Versions Notes Abstract Oceanic trajectories frequently exhibit multiple periodic patterns across various time intervals, e.g., tidal variations, mesoscale eddies, and El Niño events correspond to diurnal, seasonal, and interannual fluctuations in environmental factors. To explore hidden spatiotemporal mul...
Versions Notes Abstract The study of hidden attractors plays a very important role in the engineering applications of nonlinear dynamical systems. In this paper, a new three-dimensional (3D) chaotic system is proposed in which hidden attractors and self-excited attractors appear as the parameters cha...
This spacetime is Type I in the Hawking-Ellis classification [38], and see [39] for more on our approach to anisotropic stress-energy tensors. In fact, we could have expected this form of the energy-momentum tensor in the first place, since the spacetime we started with only had 𝕊2S...