Sturm-Liouville
On the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem
... fuzzy Sturm-Liouville equation is defined and the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem are examined by using Hukuhara ...the ...
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Solvability of Sturm-Liouville boundary value problems with impulses
... In this paper, we consider a kind of Sturm-Liouville boundary value problems with impulsive effects. By using the mountain pass theorem and Ekeland’s variational principle, the existence of two positive ...
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Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems
... In the present contribution, we show how the parity symmetry of the Sturm-Liouville operator can be conserved and exploited when converting the differential eigenvalue problem into a matrix eigen- value ...
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Eigenvalue Computation of Regular 4th Order Sturm Liouville Problems
... Remark 2.1 Currently the most reliable software package for eigenvalues and eigenfunctions of the 4th order Sturm-Liouville equation with regular endpoints is ACM Algorithm 775: SUBROUTINE SLEUTH, produced ...
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Asymptotics of Eigenvalues for Sturm-Liouville Problem with Eigenvalue in the Boundary Condition for Differentiable Potential
... 1. E.Başkaya, Regular Sturm-Liouville problems with eigenvalue parameter in the boundary conditions, PhD. Thesis, Karadeniz Technical University, The Graduate School of Natural and Applied Sciences Biology ...
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New results of positive solutions for the Sturm-Liouville problem
... In this paper, by establishing some inequalities (see, for example, Theorem . and Lemma .) we shall prove new existence results of positive solutions for the superlin- ear Sturm-Liouville problem ...
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Variational methods for fractional q-Sturm-Liouville problems
... regular Sturm-Liouville problems in [] and fractional Sturm-Liouville problems in ...integer Sturm-Liouville problem introduced by Annaby and Mansour in [, ...fractional ...
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An inverse three spectra problem for Sturm–Liouville operators
... Inverse spectral problems consist in recovering operators from their spectral characteris- tics. Such problems play an important role in mathematics and have many applications in natural sciences. Our research focuses ...
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Recovering Sturm-Liouville operators with a discontinuous weight function
... [20] S.G. Mamedov, Determination of a second order differential equation with re- spect to two spectra with a spectral parameter entering into the boundary condi- tions, Izv. Akad. Nauk Azerb. SSR, Ser. Fiz. Tekh. Mat. ...
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Computing Structured Singular Values for Sturm-Liouville Problems
... In this article we have presented numerical computation of pseudo-spectra and the bounds of struc- tured singular values (SSV) for a family of matrices obtained while considering the matrix representation of ...
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Eigenstructure of nonselfadjoint complex discrete vector Sturm Liouville problems
... vector Sturm-Liouville problems, where coeffi- cients of the difference equation are complex numbers and the strongly coupled bound- ary conditions are ...
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Convolution algebras arising from Sturm Liouville transforms and applications
... regular Sturm-Liouville transform, the existence and uniqueness of the solutions for these integral equations follows immediately from the algebraic properties of ...
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... Numerical methods often transform the inverse Sturm-Liouville problem into an inverse eigenvalue problem of a certain matrix 11. However, many of these discretizations into a ma- trix form have higher ...
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Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems
... The arrangement of this paper is as follows: Sect. 2 is devoted to the existence of non- real eigenvalues for the nonlocal indefinite Sturm–Liouville equation (1.1) associated with self-adjoint separated ...
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Eigenfunction expansion in the singular case for q-Sturm-Liouville operators
... It is clear that q − difference equations arise q − analogues of differential equations. In this paper, we consider q − analogue of the Sturm-Liouville equations. Recently, in [11], the Titchmarsh-Weyl theory ...
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On the domain of selfadjoint extension of the product of Sturm Liouville differential operators
... Our objective in this paper is to show that the characterization of the sin- gular selfadjoint boundary conditions is identical to that in the regular case provided that y and its quasiderivatives are replaced by ...
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A variational approach of Sturm-Liouville problems with the nonlinearity depending on the derivative
... In the present paper, we are concerned with a class of nonlinear Sturm-Liouville prob- lems and we establish some qualitative properties of the eigenvalues by using variational principles. A feature of our ...
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Systems of generalized Sturm Liouville and Langevin fractional differential equations
... The paper is organized as follows. In Section , we recall definitions from fractional calculus and present an auxiliary lemma. The main results for the coupled system of gen- eralized Sturm-Liouville and ...
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On Summability of Spectral Expansions Corresponding to the Sturm Liouville Operator
... the Sturm-Liouville operator with general boundary conditions,” Doklady Akademii Nauk, ...the Sturm-Liouville operator with general boundary conditions,” Functional Analysis and Its ...
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ON THE MULTIPLE SOLUTIONS OF A NONHOMOGENEOUS STURM-LIOUVILLE EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
... Abstract: In this work, we are concerned with a nonlocal boundary value problem of nonhomogeneous Sturm-Liouville equation. Then existence of at least one solution will be proved. The spectral properties of ...
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