Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals
نویسندگان
1 Mathematics, College of Science, University of Sulaimani, Sulaimani, Iraq
2 Department of Mathematics, University of Ibb, Ibb, Yemen.
doi
10.22034/cmde.2020.28205.1384چکیده
In this paper, the issue of distribution of zeros of the solutions of linear homogenous differential equations (LHDE) have been investigated in terms of semi-critical intervals. We shall follow a geometric approach to state and prove some properties of LHDEs of the sixth order with (2, 3, 4, and 5 points) boundary conditions and with measurable coefficients. Moreover, the relations between semi-critical intervals of the LHDEs have been explored. Also, the obtained results have been generalized for the 5th order differential equations.
