[PDF] Top 20 Approximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions

... method. All exam- ples are computed in [] with the classical ...where eigenvalues cannot computed ...exact eigenvalues, which are square ... See full document

... the eigenparameter dependent Sturm-Liouville problems, ...the eigenparameter appears not only in the differential equation of the Sturm-Liouville problem but also in the ... See full document

... Without eigenparameter appearing in any of boundary conditions, in [] and [] Tharwat et ...the eigenvalues of the discontinuous Dirac sys- tem which is studied in the monographs of ... See full document

... of discontinuous Sturm–Liouville problems with boundary conditions rationally dependent on the ...for eigenvalues and eigenfunctions are ... See full document

... inverse problems for the family of Sturm-Liouville op- erators, generated by fixed potential q and the family of separated boundary ...of all these operators can be represented as a ... See full document

... approximate eigenvalues of second order Birkhoff-regular eigenvalue problems using sinc-Gaussian op- ...approximate eigenvalues of boundary value problems rather than the clas- sical ... See full document

... inverse Sturm-Liouville problems. The inverse Sturm- Liouville problems can be regarded as three aspects, ...These problems originated in the work of Ambarzumian(1929) ... See full document

... the eigenvalues by using the finite element method [1] and the finite difference method ...computing eigenvalues of the periodic Sturm–Liouville ... See full document

... of eigenvalues E, specifically we shall establish criteria for E to contain an interval, for E to be an interval, and for E to be an open finite or half-closed finite or infinite ...for Sturm-Liou- ville ... See full document

... real eigenvalues for the nonlocal indefinite Sturm–Liouville equation ...separated boundary conditions (see Theorem ...indefinite Sturm–Liouville problem through the Dirac ... See full document

... Regular Sturm-Liouville problems with eigenvalue parameter in the boundary conditions, ...of eigenvalues for regular Sturm-Liouville ... See full document

... Some boundary value problems with discontinuity conditions arise in heat and mass transfer problems, mechanics, electronics, geophysics and other natural sciences (see [] also ...instance, ... See full document

... the boundary conditions have increased in recent years (see [–] and correspond- ing ...Moreover, boundary conditions which depend linearly and nonlinearly on the spectral parameter are ... See full document

... an eigenparameter in the boundary conditions are few; see, ...with discontinuous eigenproblems are few; see ...contain eigenparameter in the boundary conditions and have ... See full document

... Inverse problems for integro-differential operators and the other classes of nonlocal op- erators are more difficult to investigate. The classical methods are often not applicable for such problems. In ... See full document

... The paper is organized as follows. In Section 2, some preliminaries are provided and Theorem 1 is proved. We obtain a special representation for the characteristic function (see Lemma 1), which allows us to derive ... See full document

... the Sturm-Liouville boundary value problems (for short BVPs) have received a lot of ...for Sturm-Liouville BVPs and verify the exis- tence of the critical points for the Euler ... See full document

... In this paper we deal with one kind of second order periodic-integrable boundary value problem. Using the lemma on bilinear form and Schauder’s fixed point theorem, we give the existence and uniqueness of solutions ... See full document

... using N = 22, for the first four eigenvalues of the prob- lem with the results of Abbasbandy [14], Syam and Siy- yam [11] and Attili and Lesnic [10]. It can be see from Table 2 that our results of Chebychev method ... See full document

... the eigenvalues as a function of one endpoint, and show that the eigenvalues of kth-order spectral problems depend not only continuously but also smoothly on ...self-adjoint boundary eigen- ... See full document