A number of gangliosides were isolated from cat and sheep erythrocytes for use in analyzing the specificity of a panel of human anti-heterophile monoclonal antibodies. The structures of these compounds were determined by a combination of different procedures, including sugar analysis, glycosidase treatment, periodate oxidation, TLC immunostaining, methylation analysis, and mass spectrometry. Th...

In this paper, we investigate the existence of at least one solution to following higher order Riemann–Liouville fractional differential equation with Riemann–Stieltjes integral boundary condition resonance: − ( D 0 + α x ) t = f , 1 n < ≤ ∈ [ 0,1 ] ′ … 2 k ∫ d A $$ {\displaystyle \begin{array}{cc}\hfill -\left({D}_{0+}^{\alpha }x\right)(t)=& f\left(t,x(t),{D}_{0+}^{\alpha -1}x(t)\right),n-1<\a...

For an algebraic number α $\alpha$ and γ ∈ R $\gamma \in \mathbb {R}$ , let be the house, h ( ) $h(\alpha )$ (logarithmic) Weil height, = deg $h_\gamma (\alpha )=(\deg \alpha )^\gamma h(\alpha $\gamma$ -weighted height of . Let f : Q ¯ → [ 0 ∞ $f:\overline{\mathbb {Q}}\rightarrow [0,\infty a function on numbers $\overline{\mathbb {Q}}$ S ⊂ $S\subset \overline{\mathbb The Northcott N $\mathcal {...

The undetermined coefficients method is presented for nonhomogeneous sequential fractional differential equations involving Caputo derivative of order n\alpha where n-1 n\alpha\le\ n and n\in\mathbb{N}. By employing proposed method, a particular solution the considered equation obtained. Some details about estimating required to apply this are explained. This shown be particularly effective whe...

&lt;p style='text-indent:20px;'&gt;We devote to studying the condition of a holomorphic function &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;\begin{document}$ g $\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt; in complex unit ball id="M2"&gt;\begin{document}$ \mathbb{B}_n so that Volterra operator id="M3"&gt;\begin{document}$ T_g:A_\alpha^2\to A_\alpha^2 belongs Schatten id="M4"&gt;\be...

This paper deals with the solution behavior and periodic nature of solutions difference equation $$ s_{n+1}=\alpha s_{n}+\dfrac{\beta s_{n}s_{n-4}}{\gamma s_{n-4}+\delta s_{n-5} },\;\;\;n=0,1,... {\Large \noindent }where initial conditions $s_{-5},\ s_{-4},\ s_{-3},\ s_{-2},\ s_{-1},\ s_{0}$ are arbitrary positive real numbers $\alpha ,\ \beta \gamma \delta \ $are constants. Also we obtain clos...

The time-inhomogeneous autoregressive model AR(1) is studied, which the process of form ${X_{n+1}}={\alpha _{n}}{X_{n}}+{\varepsilon _{n}}$, where ${\alpha _{n}}$ are constants, and ${\varepsilon independent random variables. Conditions on distributions established that guarantee geometric recurrence process. This result applied to estimate stability n-steps transition probabilities for two pro...