Abstract The fast growing solutions of the following linear differential equation $$(*)$$ ( ∗ ) is investigated by using a more general scale $${[p,q]_{,\varphi }}$$ [ p , <mml:m...

In this work we set up the generating function of ultimate time survival probability $\varphi(u+1)$, where $$\varphi(u)=\mathbb{P}\left(\sup_{n\geqslant 1}\sum_{i=1}^{n}\left(X_i-\kappa\right)<u\right)$$ and $u\in\mathbb{N}_0,\,\kappa\in\mathbb{N}$, random walk $\left\{\sum_{i=1}^{n}X_i,\,n\in\mathbb{N}\right\}$ consists independent identically distributed variables $X_i$, which are non-negativ...

we obtain two fixed point theorems for a kind of $varphi $-contractions incomplete fuzzy metric spaces, which are applied to easily deduceintuitionistic versions that improve and simplify the recent results of x.huang, c. zhu and x. wen.

Well-posedness classes for degenerate elliptic problems in \begin{document}$ {\mathbb R}^N $\end{document} under the form id="M2">\begin{document}$ u = \Delta {{\varphi}}(x,u)+f(x) $\end{document}, with locally (in id="M3">\begin{document}$ $\end{document}</inline-fo...

We construct cosmological models based on a complex scalar field with power-law potential $V=\frac{K}{\ensuremath{\gamma}\ensuremath{-}1}(\frac{m}{\ensuremath{\hbar}}{)}^{2\ensuremath{\gamma}}|\ensuremath{\varphi}{|}^{2\ensuremath{\gamma}}$ associated polytropic equation of state $P=K{\ensuremath{\rho}}^{\ensuremath{\gamma}}$ (the an isothermal $P=\ensuremath{\rho}{k}_{B}T/m$ is $V=\frac{m{k}_{...

"In this paper, we investigate the relations between growth of entire coefficients and that solutions complex homogeneous non-homogeneous linear difference equations with $% \varphi $-order by using a slow scale, $\varphi $-order, where $ is non-decreasing unbounded function. We extend some precedent results due to Zheng Tu (2011) [15] others."

We continue the study from [1], by studying equations of type $\psi(n) = \dfrac{k+1}{k} \cdot \ n+a,$ $a\in \{0, 1, 2, 3\},$ and $\varphi(n) \dfrac{k-1}{k} n-a,$ 3\}$ for $k &gt; 1,$ where $\psi(n)$ $\varphi(n)$ denote Dedekind, respectively Euler's, arithmetical functions.

A bstract In this work, we propose a string-inspired two fields inflation model to address the fine-tuning problem that standard suffers. The fast-rolling tachyon $$ \mathcal{T} T originated from D-brane and anti-D-brane pair annihilation locks inflaton φ slowly rolling on Higgs-like potential V\left(\varphi ...