We study the spectrum of a parameter dependent Sturm-Liouville problem by using the continued fractions, through which necessary and sufficient conditions for eigenvalues are obtained. From these conditions estimates for large eigenvalues depending on the parameter and an asymp-totic result for the lowest eigenvalue will follow. Furthermore, the use of the theory of orthogonal polynomials provides upper and lower bounds for the eigenvalues given in terms of the zeros of particular sequences of polynomials
Let L denote the non-selfadjoint difference operator of second order with boundary condition generate...
Let L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞)...
Abstract – We investigate the boundary-value problem generated by the Sturm-Liouville equation with ...
We study the spectrum of a parameter-dependent Sturm-Liouville problem. By using, as the main tool, ...
We study the spectrum of a parameter dependent Sturm-Liouville problem by using the continued fracti...
This work examines generalized Stieltjes Sturm-Liouville boundary value problems with particular con...
We consider the regular Sturm-Liouville problem y″−py+(λ+q/(u−λ)) y=0, which contains the eigenvalue...
We consider the regular Sturm-Liouville problem y″−py+(λ+q/(u−λ)) y=0, which contains the eigenvalue...
We consider the regular Sturm-Liouville problem y″−py+(λ+q/(u−λ)) y=0, which contains the eigenvalue...
Abstract. We prove a new asymptotic formula for the eigenvalues of Sturm-Liouville prob-lem, which i...
WOS:000349235300007In this paper, we consider the operator L generated in L-2(R+) by the Sturm-Liouv...
We give a survey over the efforts in the direction of solving the Sturm-Liouville eigenvalue problem...
We consider the discrete right denite Sturm-Liouville problems with nonlinear eigenparameter depende...
A technique based on the evaluation of the zeros of a polynomial is proposed to estimate the spectra...
The Sturm-Liouville problem (1.1), (1.2) is considered, which depends rationally on the eigenvalue p...
Let L denote the non-selfadjoint difference operator of second order with boundary condition generate...
Let L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞)...
Abstract – We investigate the boundary-value problem generated by the Sturm-Liouville equation with ...
We study the spectrum of a parameter-dependent Sturm-Liouville problem. By using, as the main tool, ...
We study the spectrum of a parameter dependent Sturm-Liouville problem by using the continued fracti...
This work examines generalized Stieltjes Sturm-Liouville boundary value problems with particular con...
We consider the regular Sturm-Liouville problem y″−py+(λ+q/(u−λ)) y=0, which contains the eigenvalue...
We consider the regular Sturm-Liouville problem y″−py+(λ+q/(u−λ)) y=0, which contains the eigenvalue...
We consider the regular Sturm-Liouville problem y″−py+(λ+q/(u−λ)) y=0, which contains the eigenvalue...
Abstract. We prove a new asymptotic formula for the eigenvalues of Sturm-Liouville prob-lem, which i...
WOS:000349235300007In this paper, we consider the operator L generated in L-2(R+) by the Sturm-Liouv...
We give a survey over the efforts in the direction of solving the Sturm-Liouville eigenvalue problem...
We consider the discrete right denite Sturm-Liouville problems with nonlinear eigenparameter depende...
A technique based on the evaluation of the zeros of a polynomial is proposed to estimate the spectra...
The Sturm-Liouville problem (1.1), (1.2) is considered, which depends rationally on the eigenvalue p...
Let L denote the non-selfadjoint difference operator of second order with boundary condition generate...
Let L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞)...
Abstract – We investigate the boundary-value problem generated by the Sturm-Liouville equation with ...