The spectral structure of two parameter unbounded operator pencils of waveguide type is studied. Theorems on discreteness of the spectrum for a fixed parameter are proved. Variational principles for real eigenvalues in some parts of the root zones are established. In the case of n = 1 (quadratic pencils) domains containing the spectrum are described (see Fig. 1-3). Conditions in the definition of the pencils of waveguide type arise naturally from physical problems and each of them has a physical meaning. In particular a connection between the energetic stability condition and a perturbation problem for the coefficients is given. Mathematics Subject Classification (2000). Primary 47A75; Secondary 49R50, 34L15.
The aim of this research was to evaluate the relations among selective information processing about role models (SIP), motivation to lead (MTL), fear of leadership (FOL), role model evaluation and regulatory focus. It is obvious that the appropriate leadership are essential for safety at sea. In literature review, innotivation in academic and health domains by positive and negative role models depending on regulatory focus was investigated. This research study targets leader and leader candidate seafarers and uses randomsampling methods. Data were collected from 200 students of ITU Maritime Faculty and 40 master (leader) seafarers working in the Shipping companies. Data were gathered online through Qualtrics. 6 different types of questionnaires were applied. SIP, a hypothetical role model text describing the event of the leading seafarer was presented. Role model evaluation, participants were asked to rate how happyunhappy, successful-unsuccessful they thought the leader was and how positive-negative the leadership experience of the role model was and how much they aspired to be like this role model. MTL has three subscales: affective, noncalculative, social-normative. Regulatory focus is composed of two subscales assessing prevention and promotion focus. FOL has 16 items that comprised of a list of possible negative consequences of leadership. Finally, 7 demographic questions were asked and scales compared according to demographics. relationships between factors were assessed by correlation analysis Bivariate correlation analysis was used to determine relations between scales and multiple linear regression analysis was used to determine the factors affected the MTL and FOL. Backward variable selection used to determine the significant parameters. It is seen that, MTL is affecting promotion focus and FOL. FOL is affecting prevention focus and MTL.
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