Existence of solutions for some classes of integro-differential equations via measure of noncompactness

In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$. As an application, we investigate the problem of the existence of solutions for some classes of the functional integral-differential equations which enables us to study the existence of solutions of nonlinear integro-differential equations. In our considerations we apply the technique of measures of noncompactness in conjunction with Darbo's fixed point theorem. Finally, we give some illustrative examples to verify the effectiveness and applicability of our results

A Broad Evaluation of the Tor English Content Ecosystem

Tor is among most well-known dark net in the world. It has noble uses, including as a platform for free speech and information dissemination under the guise of true anonymity, but may be culturally better known as a conduit for criminal activity and as a platform to market illicit goods and data. Past studies on the content of Tor support this notion, but were carried out by targeting popular domains likely to contain illicit content. A survey of past studies may thus not yield a complete evaluation of the content and use of Tor. This work addresses this gap by presenting a broad evaluation of the content of the English Tor ecosystem. We perform a comprehensive crawl of the Tor dark web and, through topic and network analysis, characterize the types of information and services hosted across a broad swath of Tor domains and their hyperlink relational structure. We recover nine domain types defined by the information or service they host and, among other findings, unveil how some types of domains intentionally silo themselves from the rest of Tor. We also present measurements that (regrettably) suggest how marketplaces of illegal drugs and services do emerge as the dominant type of Tor domain. Our study is the product of crawling over 1 million pages from 20,000 Tor seed addresses, yielding a collection of over 150,000 Tor pages. We make a dataset of the intend to make the domain structure publicly available as a dataset at https://github.com/wsu-wacs/TorEnglishContent.Comment: 11 page

An analytical study on ministerial organizations status in the historiography of Ravandi, Iran

The ministry organization as a symbol of Iranian sreaming is the important element in Iranian historiography. Reproduction of many of Iranshahri thoughts teachings in Seljuk\u27s period provided background for note historians to ministry organization. With the domination of Turks on Iran was established ministry s status until free rulers of the art of government benefit of ministry\u27s knowledge. Ravandi was one of the important historians in Seljuk\u27s period. However, he extracted his historical narratives from Saljuknameh, but with the completion of them with other sources and analyzing of dates. His book was changed to an important source with a different style. Ministry organization was High-Frequency concept in Ravandi historiography. His historiography has been set as useful epistle for express reasons. The ministry in his historiography was a symbol of foresight that was a cause of stable government. This article is going to enter a descriptive and analytical methodology to analyzed Ravandi\u27s approach to ministerial organization and answered to these questions what impact of ministry status on Seljuk\u27s period in Ravandi\u27s historiography? And this approach has been influenced by what factors shape

Existence of solutions of infinite systems of integral equations in the Fréchet spaces

In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fréchet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tychonoff fixed point theorem. Also, we present an example of nonlinear integral equations to show the efficiency of our results. Our results extend several comparable results obtained in the previous literature