In this work, we studied the curvature tensors of (k,$\mu$) satisfying conditions $\widetilde{Z}(\xi ,\alpha _{3})\cdot P=0$, S=0$, $R(\xi S=0$ and $P\cdot C=0$. Besides this, classify $(k,\mu)$-paracontact manifolds. Also researched conformally flat $\phi $-conformally a $(k,\mu )-$paracontact metric

The purpose of this article is to investigate common solutions of a zero point problem of a accretive operator and a fixed point problem of a nonexpansive mapping via a viscosity approximation method involving a τ-contractive mapping. c ©2017 All rights reserved.

The existence of periodic solutions for the evolution equation y′(t) + Ay(t) 3 F (t, y(t)) is investigated under considerably simple assumptions on A and F . Here X is a Banach space, the operator A is m-accretive, −A generates a compact semigroup, and F is a Carathéodory mapping. Two examples concerning nonlinear parabolic equations are presented.

We discuss gluon-gluon mechanisms for production of mesons with hidden strangeness, such as $\eta'$ and $\phi$ meson, in proton-proton collisions at large energies. The $g^* g^* \to \eta'$ \phi g$ are considered only the corresponding cross sections calculated $k_t$-factorization approach. $F_{\gamma^* \gamma^* \eta'}$ $F_{g^* form factors from quark-antiquark light-cone wave function including...

We prove the existence of solutions for following critical Choquard type problem with a variable-order fractional Laplacian and variable singular exponent $$\begin{aligned} \begin{aligned} a(-\varDelta )^{s(\cdot )}u+b(-\varDelta )u&=\lambda |u|^{-\gamma (x)-1}u+\left( \int _{\varOmega }\frac{F(y,u(y))}{|x-y| ^{\mu (x,y)}}dy\right) f(x,u)\\&+\eta H(u-\alpha )|u|^{r(x)-2}u,~\text {in}~\varOmega ...

Fluorescent nanosized carbon dots (Cdots) are an emerging bioimaging agent with excellent chemical inertness and marginal cytotoxicity in comparison to widely used semiconductor quantum dots. In this work, we report the application of Cdots for real time bioimaging of target specific delivery of hyaluronic acid (HA) derivatives. Polyethylene glycol (PEG) diamine-capped Cdots were synthesized by...

Diffusion in pure gels and gels with immobilized cells was analyzed. A model of diffusion assuming a homogeneous cell distribution in gel was improved by introducing a tortuosity value. By theoretical analysis and numerical modeling it was shown that the tortuosity of a gel with immobilized cells is the product of two factors: (1) tortuosity generated by the cells, Tc, and (2) tortuosity of the...

In this paper we consider transport equations with accretive collision operators. We characterize when the equation has a unique solution and show that in this case the solution is stable under small perturbations of the collision operator and the initial value. In one case in which there is more than one solution we show how to make a special selection of a solution, which is then stable again...