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On eigenvalues of differential equations with singularities, discontinuity conditions and turning points
eigenvalues of differential equations singularities turning points
2010/9/20
We consider the Sturm-Liouville equation on the bounded interval with two singularities in end points. This equation contains one turning point together with discontinuity conditions, moreover the tur...
Asymptotic solutions and eigenvalues of second-order differential equations with poles and turning points
Eigenvalues singularity turning point
2010/9/13
Using of the asymptotic estimates provided in [2] for a special fundamental system of solutions of Sturm-Liouville equation, we study the asymptotic estimates for a special fundamental system of solut...
The negative Neumann eigenvalues of second order differential equation with two turning points
Turning point Sturm-Liouville problem
2010/9/10
In this work, we have studied the solution of the second order differential equation with two turning points case. It is well known that the solutions of the equation are obtained by the asymptotic so...
The negative Neumann eigenvalues of second order differential equation with two turning points
Turning point Sturm-Liouville problem
2010/9/10
In this work, we have studied the solution of the second order differential equation with two turning points case. It is well known that the solutions of the equation are obtained by the asymptotic so...
The model form and the \zeta-function for an elliptic differential operator of the second order on a manifold with turning points
model form turning manifold turning point
2010/9/10
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...