Regularized trace formula for Sturm-Liouville problem with retarded argument and quadratically eigenparameter-dependent boundary condition

In this paper, a regularized trace formula for a discontinuous Sturm-Liouville equation with retarded argument is obtained for the case in which the spectral parameter occurs linearly in the equation and one of the boundary conditions and quadratically in the other one. The contour integration method is used to obtain that trace formula.Publisher's Versio

Evaluation of patients with fibrotic interstitial lung disease: Preliminary results from the Turk-UIP study

OBJECTIVE: Differential diagnosis of idiopathic pulmonary fibrosis (IPF) is important among fibrotic interstitial lung diseases (ILD). This study aimed to evaluate the rate of IPF in patients with fibrotic ILD and to determine the clinical-laboratory features of patients with and without IPF that would provide the differential diagnosis of IPF. MATERIAL AND METHODS: The study included the patients with the usual interstitial pneumonia (UIP) pattern or possible UIP pattern on thorax high-resolution computed tomography, and/or UIP pattern, probable UIP or possible UIP pattern at lung biopsy according to the 2011 ATS/ERSARS/ALAT guidelines. Demographics and clinical and radiological data of the patients were recorded. All data recorded by researchers was evaluated by radiology and the clinical decision board. RESULTS: A total of 336 patients (253 men, 83 women, age 65.8 +/- 9.0 years) were evaluated. Of the patients with sufficient data for diag-nosis (n=300), the diagnosis was IPF in 121 (40.3%), unclassified idiopathic interstitial pneumonia in 50 (16.7%), combined pulmonary fibrosis and emphysema (CPFE) in 40 (13.3%), and lung involvement of connective tissue disease (CTD) in 16 (5.3%). When 29 patients with definite IPF features were added to the patients with CPFE, the total number of IPF patients reached 150 (50%). Rate of male sex (p<0.001), smoking history (p<0.001), and the presence of clubbing (p=0.001) were significantly high in patients with IPE None of the women <50 years and none of the men <50 years of age without a smoking history were diagnosed with IPE Presence of at least 1 of the symptoms suggestive of CTD, erythrocyte sedimentation rate (ESR), and antinuclear antibody (FANA) positivity rates were significantly higher in the non-IPF group (p<0.001, p=0.029, p=0.009, respectively). CONCLUSION: The rate of IPF among patients with fibrotic ILD was 50%. In the differential diagnosis of IPF, sex, smoking habits, and the presence of clubbing are important. The presence of symptoms related to CTD, ESR elevation, and EANA positivity reduce the likelihood of IPF

Dirac System with Discontinuities at Two Points

We deal with a regular Dirac system which has discontinuities at two points and contains eigenparameter in a boundary condition and two transmission conditions. We investigate asymptotic behaviour of eigenvalues and corresponding eigenfunctions of this Dirac system and construct Green’s function

Birleştirilmiş Geçiş Şartlı Süreksiz Sınır Değer Probleminin Özdeğer Ve Özfonksiyonlarının Asimptotik Açılımları

Konferans Bildirisi -- Teorik ve Uygulamalı Mekanik Türk Milli Komitesi, 2010Conference Paper -- Theoretical and Applied Mechanical Turkish National Committee, 2010Bu çalışmada özdeğer param etre bulunduran sınır koşulları ve süreksizlik noktasındaki geçiş koşulları ile verilen süreksiz reguler Sturm Liouville problem i gö z önüne alındı.B u tipten süreksiz problem leri incelem ek için[3], [7], [10] ve [11] çalışm alarında kullanılan tekniklere uygun teknikler geliştirdikten sonra bu tekniklerden yararlanm akla özdeğer ve özfonksiyonlar için asim ptotik yaklaşım form ülleri elde ettik.In this study discontinuous regular Sturm Liouville problem s vvith eigenvalue param eter at the boundary conditions and vvith transm ission conditions at the point o f discontinuity are considered.For investigation o f such discontinuous problem s, vve m odify som e techniques o f [3], [7], [10] and [11] then by using these techniques vve obtain asym ptotic approxim ate form ulas o f eigenvalues and eigenfunctions