On generalized Euler constants by Eugenijus Stankus

“… The generalized Euler constants are defined by formulas γ(r, k) = limx → ∞ {∑0 < n ≤  x; n ≡  r(mod k) ⅟n - ⅟k log x}. …”
Get full text

Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density by Irina Radinschi, Theophanes Grammenos, Farook Rahaman, Andromahi Spanou, Marius Mihai Cazacu, Surajit Chattopadhyay, Antonio Pasqua

“…The evaluation of the energy-momentum distribution for a new four-dimensional, spherically symmetric, static and charged black hole spacetime geometry with constant nonzero topological Euler density is performed by using the energy-momentum complexes of Einstein and Møller. …”
Get full text

Critical Oscillation Constant for Euler Type Half-Linear Differential Equation Having Multi-Different Periodic Coefficients by Adil Misir, Banu Mermerkaya

“…We compute explicitly the oscillation constant for Euler type half-linear second-order differential equation having multi-different periodic coefficients.…”
Get full text

On the Range of Arithmetic Means of the Fractional Parts of Harmonic Numbers by Artūras Dubickas

Subjects: Get full text

Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions by Sen Wong, Manwai Yuen

“…We study, in the radial symmetric case, the finite time life span of the compressible Euler or Euler-Poisson equations in RN. For time t≥0, we can define a functional H(t) associated with the solution of the equations and some testing function f. …”
Get full text

Hyers–Ulam Stability for Quantum Equations of Euler Type by Douglas R. Anderson, Masakazu Onitsuka

“…In this work, we introduce and study the Hyers–Ulam stability (HUS) of a quantum (q-difference) equation of Euler type. In particular, we show a direct connection between quantum equations of Euler type and h-difference equations of constant step size h with constant coefficients and an arbitrary integer order. …”
Get full text

Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients by Petr Hasil, Michal Veselý

“…We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result reduces to the well-known result about the discrete Euler equation.…”
Get full text

Distributed Adaptive Coordinated Control of Multiple Euler–Lagrange Systems considering Output Constraints and Time Delays by Hongde Qin, Xiaojia Li, Yanchao Sun

“…In this paper, we mainly investigate the coordinated tracking control issues of multiple Euler–Lagrange systems considering constant communication delays and output constraints. …”
Get full text

Investigation of a Multiflow Ejector Equipped with Variable-Length Links for Thrust Vector Control Using Euler’s Methodology by Yuri A. Sazonov, Mikhail A. Mokhov, Anton V. Bondarenko, Victoria V. Voronova, Khoren A. Tumanyan, Egor I. Konyushkov

“…The research outcomes are patented and aimed at developing a digital twin of the jet system for training artificial intelligence based on the philosophy of science and technology and Euler’s methodology within interdisciplinary works. …”
Get full text

Stability Analysis of Non-Local Euler-Bernoulli Beam with Exponentially Varying Cross-Section Resting on Winkler-Pasternak Foundation by M. Soltani, M. Mohammadi

“…Furthermore, results show that the elastic foundation enhances the stability characteristics of non-local Euler-Bernoulli beam with constant or variable cross-section. …”
Get full text

Process of Liquid Film Formation from Single Droplet by LIU Zhanwei, BO Hanliang

Get full text

On the stability, chaos and bifurcation analysis of a discrete-time chemostat model using the piecewise constant argument method by Ibraheem M. Alsulami

“…This study illustrates that the piecewise constant argument method is more dynamically consistent than the forward Euler method.…”
Get full text

An Accurate Estimation of the Eigenfrequency of an Offshore Wind Turbine Considered as the Stepped Euler-Bernoulli Beam in Three-Spring Flexible Foundation Using the Power Series M... by Mouafo Teifouet Armand Robinson, Zhenyu Wang

“…This study idealizes the OWT as a stepped Euler-Bernoulli beam carrying a top mass and connected at its bottom to a flexible foundation. …”
Get full text

Submanifolds of Euclidean space with parallel mean curvature vector by Tahsin Ghazal, Sharief Deshmukh

“…Then we show that the n-dimensional compact totally real submanifolds of constant curvature and parallel mean curvature in R2n are flat. …”
Get full text

Takagi-sugeno type 1-2 fuzzy linear output controller for two-area load frequency control by Marayati Mersadek, Farrukh Nagi, Navinesshani Permal, Agileswari A.P. Ramasamy, Aidil Azwin

Get full text

The thermodynamics of C-J deflagration by Yunfeng Liu

“…The governing equations are Euler equation with overall one-step chemical reaction kinetics. …”
Get full text

Relaxing the sharp density stratification and columnar motion assumptions in layered shallow water systems by Adim, Mahieddine, Bianchini, Roberta, Duchêne, Vincent

“…We rigorously justify the bilayer shallow-water system as an approximation to the hydrostatic Euler equations in situations where the flow is density-stratified with close-to-piecewise constant density profiles, and close-to-columnar velocity profiles. …”
Get full text

Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications by Lokenath Debnath, Bicheng Yang

“…Included are numerous generalizations, extensions, and refinements of Hilbert-type inequalities involving many special functions such as beta, gamma, logarithm, trigonometric, hyper-bolic, Bernoulli's functions and Bernoulli's numbers, Euler's constant, zeta function, and hypergeometric functions with many applications. …”
Get full text

Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model by Rizwan Ahmed, Muhammad Rafaqat, Imran Siddique, Mohammad Asif Arefin

“…The discretization is achieved using the piecewise constant argument method. The existence and stability of equilibrium points, as well as transcritical and Neimark–Sacker bifurcations, are all explored. …”
Get full text

Willmore-Like Tori in Killing Submersions by Manuel Barros, Óscar J. Garay, Álvaro Pámpano

“…The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-spaces with potential are computed and, then, applied to the study of invariant Willmore-like tori with invariant potential in the total space of a Killing submersion. …”
Get full text