In this paper, we consider the oscillation behavior of following second-order nonlinear dynamic equation. λ(s)Ψ1φΔ(s)y(φ(s))ΔΔ+η(s)Φ(y(τ(s)))=0,s∈[s0,∞)T. By employing generalized Riccati transformation and inequality scaling technique, establish some criteria.

In this paper, an analog of the conformable fractional derivative is defined in arbitrary finite-dimensional commutative associative algebra. Functions taking values indicated algebras and having derivatives sense a are called φ-monogenic. A relation between concepts φ-monogenic monogenic functions such has been established. Two new definitions have proposed for with algebras.

Abstract On a manifold X with boundary and bounded geometry we consider strongly elliptic second order operator A together degenerate T of the form $$T=\varphi _0\gamma _0 + \varphi _1\gamma _1$$ T=φ0γ0</mm...

We computer-generated monodisperse and polydisperse frictionless hard-sphere packings of 10(4) particles with log-normal particle diameter distributions in a wide range of packing densities φ (for monodisperse packings φ = 0.46-0.72). We equilibrated these packings and searched for their inherent structures, which for hard spheres we refer to as closest jammed configurations. We found that the ...