/pdf/quantitative-conservation-biology-theory-and-practice-of-24cjklzybw.pdf

"Quantitative Conservation Biology: Theory and Practice of Population Viability Analysis" by W. F. Morris and D. F. Doak. 2002. [book review]

Empirical equity market microstructure research often requires knowledge about tradesides. It is important to recognize the side that initiates the transaction and to distinguish between the so called buyer- and seller-initiated trades. Unfortunately, most data sets do not identifythe trade direction. Therefore, researchers rely on indirect trade classification rules to infer trade sides. The aim of this paper is to implement and compare four trade classification algorithms on the Warsaw Stock Exchange (WSE). The high-frequency data for the selected WSE-listed companies covers the period from January 3, 2005 to June 30, 2015. To check the robustness of empirical results to the choice of sample, three adjacent sub-periods of equal size: the pre-crisis, crisis, and post-crisis period are analysed. The Global Financial Crisis on the WSE is formally established as the period June 2007-February 2009.

Comparison of selected trade classification algorithms on the warsaw stock exchange

Asymptotic behavior of solution of second order difference equations with summable coefficients

Approximative solutions to difference equations of neutral type

\noindent Using the techniques connected with the measure of noncompactness we investigate the neutral difference equation of the following form \begin{equation*} \Delta \left(r_{n}\left(\Delta \left(x_{n}+p_{n}x_{n-k}\right) \right) ^{\gamma}\right) +q_{n}x_{n}^{\alpha}+a_{n}f(x_{n})=0. \end{equation*}% where $x:{\mathbb{N}}_{0}\rightarrow {\mathbb{R}}$, $a,p,q:{\mathbb{N}}%_{0}\rightarrow {\mathbb{R}}$, $r:{\mathbb{N}}_{0}\rightarrow {\mathbb{R}}% \setminus \{0\}$, $f\colon {\mathbb{R}}\rightarrow {\mathbb{R}}$ is a continuous function, and $k$ is a given positive integer, $\gamma \leq 1$ is ratio of odd positive integers, $\alpha $ is a nonnegative constant. %$\sum a_{n}\left(t\right)$ converges uniformly on ${\mathbb{R}}$. %Here $\bN_0\colon =\left\{0,1,2, \dots \right\}$ and $\bN_k \colon = \left\{k, k+1, -k+2, \dots \right\}$ where $k$ is a given positive integer. Sufficient conditions for the existence of a bounded solution are obtained. Also a special type of stability and asymptotic stability are studied. Some earlier results are generalized. We note that the solution which we obtain does not directly correspond to a fixed point of a certain continuous operator since it is partially iterated. The method which we develop allows for considering through techniques connected with the measure of noncompactness also difference equations with memory. {\small \textbf{Keywords} Difference equation, measures of noncompactness, Darbo's fixed point theorem, boundedness, stability} {\small \textbf{AMS Subject classification} 39A10, 39A22, 39A30}

On the existence of bounded solutions for nonlinear second order neutral difference equations

A class of higher order nonlinear neutral difference equations with quasidifferences is studied. Sufficient conditions under which considered equation has a solution which converges to zero are presented.

Asymptotically zero solution of a class of higher nonlinear neutral difference equations with quasidifferences

Using the techniques connected with the measure of noncompactness we investigate the neutral difference equation of the following form

/pdf/on-the-existence-of-bounded-solutions-for-nonlinear-second-138oy3wod6.pdf

Using the Riccati transformation techniques, we will extend some almost oscillation criteria for the second‐order nonlinear neutral difference equation with quasidifferences

http://campus.mst.edu/ijde/contents/v9n1p8.pdf

Almost Oscillation Criteria for Second-Order Neutral Difference Equations with Quasidifferences

By means of Riccati technique, we establish some new oscillation criteria for difference equations of neutral type in terms of the coefficients. The results are illustrated by examples.

Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type

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Papers

On the existence of bounded solutions for nonlinear second order neutral difference equations

Asymptotically zero solution of a class of higher nonlinear neutral difference equations with quasidifferences

On the existence of bounded solutions for nonlinear second order neutral difference equations

Almost Oscillation Criteria for Second-Order Neutral Difference Equations with Quasidifferences

Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type