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Goktas, Sertac,Kerimov, Nazim B.,Maris, Emir A. Korean Mathematical Society 2017 대한수학회지 Vol.54 No.4
The spectral problem $$-y^{{\prime}{\prime}}+q(x)y={\lambda}y,\;0 < x < 1, \atop y(0)cos{\beta}=y^{\prime}(0)sin{\beta},\;0{\leq}{\beta}<{\pi};\;{\frac{y^{\prime}(1)}{y(1)}}=h({\lambda})$$ is considered, where ${\lambda}$ is a spectral parameter, q(x) is real-valued continuous function on [0, 1] and $$h({\lambda})=a{\lambda}+b-\sum\limits_{k=1}^{N}{\frac{b_k}{{\lambda}-c_k}},$$ with the real coefficients and $a{\geq}0$, $b_k$ > 0, $c_1$ < $c_2$ < ${\cdots}$ < $c_N$, $N{\geq}0$. The sharpened asymptotic formulae for eigenvalues and eigenfunctions of above-mentioned spectral problem are obtained and the uniform convergence of the spectral expansions of the continuous functions in terms of eigenfunctions are presented.
Sertac Goktas,Nazim B. Kerimov,Emir A. Maris 대한수학회 2017 대한수학회지 Vol.54 No.4
The spectral problem \[\begin{matrix} -{y}''+q(x)y=\lambda y,{ }0<x<1, \\ y(0)\cos \beta ={y}'(0)\sin \beta ,{ }0\le \beta <\pi ;{ }\frac{{y}'(1)}{y(1)}=h(\lambda ), \\ \end{matrix}{ }\] is considered, where $\lambda $ is a spectral parameter, $q(x)$ is real-valued continuous function on $[0,1]$ and \[h(\lambda )=a\lambda +b-\sum_{k=1}^{N}{\frac{{{b}_{k}}}{\lambda -{{c}_{k}}}},\] with the real coefficients and $a\ge 0,{{b}_{k}}>0,{{c}_{1}}<{{c}_{2}}<\cdots<{{c}_{N}},N\ge 0.$ The sharpened asymptotic formulae for eigenvalues and eigenfunctions of above-mentioned spectral problem are obtained and the uniform convergence of the spectral expansions of the continuous functions in terms of eigenfunctions are presented.
Methods of counteraction from attacks carried out against users in a network the internet
The professor A.Kh. Nishanov,K.F. Kerimov 대한전자공학회 2008 ICEIC:International Conference on Electronics, Inf Vol.1 No.1
There is a lot of a scientific information on an opportunity of hacking on the party of a server, materials about protection of data of Web client are presented is incomplete and in a chaotic kind. The writing of this article pursues the purpose to structure the basic threats and to give practical recommendations of counteraction from the attacks against client. Recommendations are revealed by the analysis of vulnerabilities and comparisons of existing methods of counteraction. Is it possible to divide threats of safety on the party of the client into following types: breaking by means of active contents; Introduction scenes; Manipulation with Cookie files. How does hacking happen? When the user browses on the Internet, pressing on various icons, the client may not know that getting on the certain page, the client part programmes uploaded without his/her permission, that can be used by hacker for further penetration. The article provides some information security solutions for Internet users from network threats
Evren Süer,Ömer Gülpinar,Cihat Özcan,Çağatay Göğüş,Seymur Kerimov,Mut Şafak 대한비뇨의학회 2015 Investigative and Clinical Urology Vol.56 No.2
Purpose: To evaluate the outcomes of rigid ureterorenoscopy (URS) for renal pelvic stones (RPS) sized 1 to 2 cm and to determinethe predictive factors for the requirement for flexible URS (F-URS) when rigid URS fails. Materials and Methods: A total of 88 patients were included into the study. In 48 patients, the RPS were totally fragmented withrigid URS and F-URS was not required (group 1). In 40 patients, rigid URS was not able to access the renal pelvis or fragmentationof the stones was not completed owing to stone position or displacement and F-URS was utilized for retrograde intrarenal surgery(RIRS) (group 2). The predictive factors for F-URS requirement during RIRS for RPS were evaluated. Both groups were compared regardingage, height, sex, body mass index, stone size, stone opacity, hydronephrosis, and previous treatments. Results: The mean patient age was 48.6±16.5 years and the mean follow-period was 39±11.5 weeks. The overall stone-free rate inthe study population was 85% (75 patients). In groups 1 and 2, the overall stone-free rates were 83% (40 patients) and 87% (35 patients),respectively (p>0.05). The independent predictors of requirement for F-URS during RIRS were male gender, patient height,and higher degree of hydronephrosis. Conclusions: Rigid URS can be utilized in selected patients for the fragmentation of RPS sized 1 to 2 cm with outcomes similar tothat of F-URS. In case of failure of rigid URS, F-URS can be performed successfully in this group of patients.