Прегледај по Аутор "Pavlović, Nataša"
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Опције сортирања
- СтавкаFirst Regularized Trace of the Limit Assignment of Sturm-Liouville Type with Two Constant Delays(University of Niš, Serbia, 2015) Pavlović, Nataša; Pikula, Milenko; Vojvodić, BiljanaWe observe spectral assignment D2y = y defined by y00(x) + q1(x)y(x 1) + q2(x)y(x 2) = y(x); = z2 (1) q1(x); q2(x) 2 L1[0; ]; 1; 2 2 (0; ) y(x 1) 0; x 2 (0; 1]; 1 = k0 2 (2) y( ) = 0 (3) In this paper, we construct a solution y(x; z) which satisfies (1) and (2), and then (3) is used to construct the characteristic function F(z); z 2 C. Then the asymptotics of eigenvalues of the operator D2 is constructed. Finally, the first regularized trace is calculated.