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Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals | ||
| Computational Methods for Differential Equations | ||
| مقاله 7، دوره 8، شماره 2، تیر 2020، صفحه 294-304 اصل مقاله (342.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.28205.1384 | ||
| نویسندگان | ||
| Salah Ali Saleh Al-Joufi1؛ Karwan Hama Faraj Jwamer* 2 | ||
| 1Department of Mathematics, University of Ibb, Ibb, Yemen. | ||
| 2Mathematics, College of Science, University of Sulaimani, Sulaimani, Iraq | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Linear differential equations؛ Distribution of zeros for the solution؛ Boundary value problems؛ Semi-oscillatory interval؛ Semi-critical interval | ||
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