Results 11 to 20 of about 47,542 (262)
Hille–Nehari type criteria and conditionally oscillatory half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study perturbations of the generalized conditionally oscillatory half-linear equation of the Riemann–Weber type. We formulate new oscillation and nonoscillation criteria for this equation and find a perturbation such that the perturbed Riemann–Weber ...
Simona Fišnarová, Zuzana Pátíková
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Perturbatıon Solution for a Cracked Euler-Bernoulli Beam
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The natural frequencies and mode shapes of an Euler-Bernoulli beam with a rectangular cross- section, which has a surface crack, is investigated. The crack is modeled as a change (sudden or gradual) in the cross-section of the beam, and a modified ...
Lütfi Emir Sakman
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Perturbed generalized half-linear Riemann–Weber equation – further oscillation results
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann–Weber half-linear equation with critical coefficients \begin{equation*} (\Phi(x'))'+\left(\frac{\gamma_p}{t^p}+\sum_{j=1}^n\frac{\mu_p}{t^p\mbox{Log}_j^2 t ...
Simona Fišnarová, Zuzana Pátíková
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Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
Physics, 2021 The classical uncertainty principle inequalities are imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle is reformulated in terms of proper space–time length element, Planck length ...
David Escors, Grazyna Kochan
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Sectorial perturbation of vortex beams: Shannon entropy, orbital angular momentum and topological charge [PDF]
Компьютерная оптика, 2019 Transformations of the vortex beams structure subjected to sectorial perturbation were theoretically and experimentally studied. The analysis was based on computing (measuring) the vortex spectrum that enables us to find the orbital angular momentum (OAM)
Alexander Volyar +4 more
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Development of a Multiperimeter Sensing System Based on POTDR
IEEE Photonics Journal, 2018 Polarization optical time-domain reflectometry (POTDR) is sensitive to perturbations on any point of the fiber under test (FUT). However, restricted by the sensing principle, the signal of the front perturbation would mask the signals of the rear ones ...
Feng Wang +6 more
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A remark on the linearization technique in half-linear oscillation theory [PDF]
Opuscula Mathematica, 2006 We show that oscillatory properties of the half-linear second order differential equation \[(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,\] can be investigated via oscillatory properties of a certain associated second order linear ...
Ondřej Došlý
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Regularized variational principles for the perturbed Kepler problem [PDF]
Advances in Mathematics, 2021 The goal of the paper is to develop a method that will combine the use of variational techniques with regularization methods in order to study existence and multiplicity results for the periodic and the Dirichlet problem associated to the perturbed Kepler system \[ \ddot x = -\frac{x}{|x|^3} + p(t), \quad x \in \mathbb{R}^d, \] where $d\geq 1$, and $p:\
Barutello, Vivina +2 more
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Abstract and Applied Analysis, 2012 We study the optimal control problem of a controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal state constraints. Applying the terminal perturbation method and Ekeland’s variation principle, a necessary
Shaolin Ji, Qingmeng Wei, Xiumin Zhang
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Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation
Mathematics, 2021 Nonsymmetric differential matrix Riccati equations arise in many problems related to science and engineering. This work is focusing on the sensitivity of the solution to perturbations in the matrix coefficients and the initial condition.
Vera Angelova +2 more
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