Abstract This paper deals with certain classes of Cauchy's solutions of quasilinear second order differential equations in general form, Van der Pol's differential equation, which is used in the theory of electric circuits, and Lagerstorm's differential equations, which is used in asymptotic treatment of viscous flow past a solid at low Reynolds number. Behaviour of integral curves in the neighbourhoods of an arbitrary or integral curve is considered. Obtained results establish sufficient conditions for the existence and asymptotic behaviour of the observed equations. The obtained results contain the answer to the question on approximation of solutions whose existence is established. The errors of the approximation are defined by functions that can be sufficiently small. The qualitative analysis theory and topological retraction methods were used.

Bosnia and Herzegovina has always had a developed sheep production, at least from the aspect of the number of sheep per capita. Today, the ratio is 1 sheep per 4 persons, because the cattle production, globally looking, is decimated by war. Thanks to the geographic location of the country, the quality of mountain pastures and environment that is still healthy, we believe that with increased investments in sheep production we could increase the number of heads, which would have positive effects on production of meat and milk of exceptional quality. The study involving the uterus of Dubska pramenka during sexual season under nomadic conditions of holding, demonstrated that, in adequate zoo hygiene conditions (holding, feeding, treatment of animal), the sheep showed increased reproductive parameters as well as parameters manifested in meat and milk production. In our studies, microstructure of uterus of Dubska pramenka during sexual season shows extremely positive characteristics for nidation of the egg cell and normal development of the embryo. Epithelium of the uterus is in a form of high-prismatic cells, which points to significant cell activity; perfusion and development of myometrium are visible. The uterine glands are extremely well developed and their histological structure indicates increased secretion and preparation of the uterus for gravidity.

The testes of fish are paired organs, of a variable shape in different species of fish. Their structure in the salmonid species is lobular. With the histological assays, we established that the lobes were separated by the connective tissue septa, which, given the intensity of spermatogenesis in the studied groups of fish (Salmo trutta m. Fario; Oncorhynchus mykiss) sporadically disappear, in fact, they break. In the space between the lobes there are also cross-sections of blood vessels with visible erythrocytes. During the spermatogenesis, in the interstitium there are clearly observable interstitial endocrine (Leydig) cells that excrete steroid hormones. The intensity of the spermatogenesis in the studied fish varies, which is concluded on the basis of the presence of the spermatogenesis cells. In nature, the reproductive cycle in fish is mostly based on an annual cycle, and that is why different stages of reproduction take place at a different temperature and during a different photoperiod. Hence, regardless of the same time period, the spawning time in November, different types of breeding, and finally salmon farming, point to the very important factors that influence reproduction - diet and microclimatic conditions.

Because of skeletal muscle is the main contributor to body weight in most fish, it is probable that the species of the fish is limited by the growth of this tissue. Several aspects of both somatic size and skeletal muscle growth was investigated in this research work included a total of 20 brown trout (Salmo truta m. fario Lineus), 20 brook trout (Salvelinus alpinus) and 20 rainbow trout (Oncorynchus mykkis Walbaum), the average weight of 200 grams. Gathered data showed that rainbow trout has a faster increasing white muscles then other two fish species at same body weight. Main peak of diameter white muscles was 31-40 µm (30.55%) and 41-50 µm (22.15%) for rainbow trout. In mean time in the other two fish groups (brown trout and brook trout) was 21-30 µm (40.1% or 39.27%) and 31-40 µm (39.27% or 33.85%) of measured cross sectional areas. Distribution measured cross sectional areas of red muscles laniary goes down from the 71 µm.

The aim of this research was to  determine the success of transformational content volleyball game through teaching physical and health education,on  selected variables for assessing motor dimensions of the secondary school female students.Kinesiology activities are implemented through two-hour, double gym classes during one school year.The experimental group of the high school female students, through a planned program of 70 lessons,have learned and practiced the elements and techniques of volleball game with the use of different methodical organization of work through all parts of  each lesson.With the congruence method of initial and final measurement,intention was to determine wheter there has been a structural change in the observed motor area,under the influence of the content apllied.Although there was a total of eighteen (18) variables apllied, only five (5) were isolated in both measurement as those that could explain,in percentage,the area of the total variance of the system. From the aspect of creating and programming the structure and content to teaching physical and health education, the results can serve as a recommendation. They can also point out the shortcomings which are present in the implementation of the certain sports and kinesiological activities in teaching.

Climate change effects are most often presented with ongoing and expected temperature increase and sea level rise, but also stressed is the shift in rainfall patterns, often difficult to distinguish because there is much natural variability in precipitation. Statistical process control presents application of statistical methods and procedures for monitoring and control of the selected process. It aims to evaluate two potential sources of a process variation: natural (common) and assignable (special) causes. Statistical process control was recently used to evaluate climate change/variation, using previous referential period as a benchmark for addressing the present variations (e. g. in temperature or precipitation) as being triggered by natural or special causes. This means that either variation statistically should have been expected or the natural processes “capability” changed and variations are higher than one could expect. This paper analytically compares specific precipitation pattern changes in the three cities of Bosnia and Herzegovina with different annual participation. The comparison is based on the assessment of statistical behaviour of the precipitation data during the periods of 1961-1990 and after 1990. Such comparison allows preliminary conclusions on the studied geographical distribution of specific climate change/variation impacts. The presented results show that climate variations effect the precipitation patterns change, but do not confirm that they are as high as they could not be statistically expected, based on previous precipitation data.