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Abstract: In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with boundary co...
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...
The Pseudo-Differential Operator (p.d.o.) hμ,a associated with the Bessel Operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequenc...
Аннотация. В статье изучается вопрос об асимптотике спектра граничной задачи (−1)n y(2n) − y = 0,y(k)(0) = y(k)(1) = 0, 0 6 k < n,в случае, когда порядок 2n уравнения удовлетворяет нерав...
New classes containing generalization of differential operator are introduced. Characterization and other properties of these classes are studied. Moreover, Fekete-Szeg¨o functional for these classes ...
In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and i...
This work represents the results of our research of the elliptic operator of the second order on a closed smooth manifold with the presence of turning points. The techniques, that were used in prevous...
In this paper, we investigate some properties for an integral operator defined by Al-Oboudi differential operator.
Hardy Type Inequalities For Integral Transforms Associated With A Singular Second Order Differential Operator.
A fractional differential operator of order α ∈ R+ is introduced and some of its properties are studied. This operator is a generalization of the operators of Riesz-Feller, of Riemann-Liouville, of th...
We investigate the spectrum of a di erential operator of fourth order with bounded operator coecients and nd a formula for the trace of this operator.
Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.

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