Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients [PDF]
We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations.
Petr Hasil, Michal Veselý
doaj +2 more sources
Oscillation of nonlinear impulsive differential equations with piecewise constant arguments [PDF]
Existence and uniqueness of the solutions of a class of first order nonlinear impulsive differential equation with piecewise constant arguments is studied. Moreover, sufficient conditions for the oscillation of the solutions are obtained.
Fatma Karakoc +2 more
doaj +3 more sources
Oscillation-Induced Mixing Advances the Functionality of Liquid Marble Microreactors
Droplet-based microreactors often uncover fascinating phenomena and exhibit diverse functionality, which make them applicable in various fields. Liquid marbles (LMs) are non-wetting droplets coated with particles, and these features highlight their ...
Haixiao Shi (8900936) +11 more
core +9 more sources
Oscillation constant for modified Euler type half-linear equations
Applying the modified half-linear Prufer angle, we study oscillation properties of the half-linear differential equation $$ [ r(t) t^{p-1} \Phi(x')]' + \frac{s(t)}{t \log^pt} \Phi(x) = 0, \quad \Phi(x)=|x|^{p-1}\hbox{sgn} x.
Petr Hasil, Michal Vesely
doaj +1 more source
Critical Oscillation Constant for Euler Type Half-Linear Differential Equation Having Multi-Different Periodic Coefficients [PDF]
We compute explicitly the oscillation constant for Euler type half-linear second-order differential equation having multi-different periodic coefficients.
Adil Misir, Banu Mermerkaya
doaj +2 more sources
Constants of Motion of the Harmonic Oscillator [PDF]
We prove that Weyl quantization preserves constant of motion of the Harmonic Oscillator. We also prove that if $f$ is a classical constant of motion and $\mathfrak{Op}(f)$ is the corresponding operator, then $\mathfrak{Op}(f)$ maps the Schwartz class into itself and it defines an essentially selfadjoint operator on $L^2(\mathbb R^n)$. As a consequence,
Fabián Belmonte, Sebastián Cuéllar
openaire +3 more sources
Relativistic oscillator of constant period [PDF]
A relativistic oscillator whose period is independent of its energy is of great fundamental importance in both relativistic classical mechanics and relativistic quantum mechanics. In this work theoretical and computational investigations of such a constant period oscillator are reported, with emphasis on basic mathematical and physical properties of ...
Kim, JH +3 more
openaire +5 more sources
MSLED, neutrino oscillations and the cosmological constant [PDF]
We explore the implications for neutrino masses and mixings within the minimal version of the supersymmetric large-extra-dimensions scenario (MSLED). This model was proposed in {\tt hep-ph/0404135} to extract the phenomenological implications of the promising recent attempt (in {\tt hep-th/0304256}) to address the cosmological constant problem ...
Matias, J., Burgess, C. P.
openaire +2 more sources
Fast Apparent Oscillations of Fundamental Constants
AbstractPrecision spectroscopy of atoms and molecules allows one to search for and to put stringent limits on the variation of fundamental constants. These experiments are typically interpreted in terms of variations of the fine structure constant α and the electron‐to‐proton mass ratio .
Antypas, Dionysios +5 more
openaire +6 more sources
Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument [PDF]
This paper concerns with the existence of the solutions of a second order impulsive delay differential equation with a piecewise constant argument. Moreover, oscillation, nonoscillation and periodicity of the solutions are investigated.
Karakoc, Fatma +5 more
core +1 more source

