| Autor: |
Aimakhanova, Aizat Sh., Shalginbayeva, Saltanat Kh., Zhumanova, Lyazzat K. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2016, Vol. 1759 Issue 1, p1-5, 5p |
| Abstrakt: |
The paper is devoted to calculation of a first regularized trace of one integro-differential operator with the main part of the Sturm-Liouville type on a segment with punctured points at integral perturbation of "transmission" conditions. The Sturm-Liouville operator ... -y"(x)+q(x)y(x)+γ ƒ0π y(t)dt = λy(x) given on the segments ... is considered. Boundary conditions of the Dirichlet type: y(0) = 0, y(π) = 0 are given on the left-hand and right-hand ends of the segment [0;π]. The functions are continuous on [0;π], the first derivatives of which have jumps at the points x=π/n k, are solutions. The value of jumps is expressed by the formula y ... The basic result of the paper is the exact formula of the first regularized trace of the considered differential operator. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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