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The aim of the research in this paper is to examine the direction and intensity of the influence of leadership in schools and the LMX relationship on the teaching process, and the personal and ethical development of pupils. The survey was conducted by means of a questionnaire, and the respondents were teachers in elementary schools in Serbia. A total of 406 valid questionnaires were collected. The average scores of leadership, LMX relationships, the teaching process and pupils' development are high. Transformational leadership is more pronounced than transactional leadership. All the dimensions of leadership, as well as all the aspects of the LMX relationship, have a statistically significant and positive influence on the teaching process, as well as the ethical and personal development of pupils. The strongest influence of leadership and the LMX relation on the dimensions of the teaching process occurs for those dimensions which include activities outside the classroom, while the weakest impact on the teaching process dimensions exists for those dimensions directly related to teaching activities over time. Principals should be more interested in the work of individual teachers and provide them with appropriate feedback. In general, principals should work continuously to improve leadership and LMX relationships.

Abstract. We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic problems, while some results for general elliptic equations were established by Zhikov, Kozlov, Oleinik and Ngoan (1979). We push forward an approach of Balenović (1999, 2000) by proving a number of properties of H-convergence for stationary plate equation.