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Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation

Graef J. R., Tunc E., Grace S. R.

Opuscula Mathematica

2017

Vol. 37, no. 6

839--852

This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.

Musculoskeletal problems and quality of life of elementary school teachers

Karakaya I. C., Karakaya M. G., Tunc E., Kihtir M.

International Journal of Occupational Safety and Ergonomics

2015

Vol. 21, No. 3

344--350

Purpose: To investigate prevalence and anatomical distribution of musculoskeletal pain (MSP) and its impact on quality of life (QoL) in elementary school teachers working in Muğla town center. Methods: Physical, sociodemographic and occupational characteristics of 104 teachers were recorded. Onset, prevalence and consequences of MSP (Extended Nordic Musculoskeletal Questionnaire) and QoL (Short Form-36 Health Survey) of teachers with (n = 37) and without (n = 67) MSP during the last 12 months were compared. Results: The prevalence of MSP was 77% for the lifelong period and 36% for the last 12 months. Physical and sociodemographic characteristics, daily employment period and length of standing and sitting were similar between groups (p > 0.05). The most common painful regions were the neck (39%) and the lower back (38%). MSP of these regions was the common reason for seeking healthcare, prevention from activities and taking sick leave. MSP had negative impact, especially on the physical components of QoL (p < 0.05). Conclusions: The results reveal high prevalence of MSP among teachers, as well as its negative impacts on QoL. Especially neck and lower back seem to be the most frequently affected regions of the body. These findings draw attention toward the need for developing strategies to prevent MSP among teachers.