Results 11 to 20 of about 5,416,832 (202)
Spectral theory of Sturm–Liouville difference operators [PDF]
Linear Algebra and its Applications, 2009 This paper deals with eigenvalue problems for the discrete Sturm-Liouville problem \[ -\Delta(f\Delta y)(n)+q(n)y(n)=\lambda w(n)y(n) \] for \(n=1,\dots,k\). The authors present several classes of explicit self-adjoint Sturm-Liouville difference operator with either a non-Hermitian leading coefficient function, or a non-Hermitian potential function, or
Shi, Guoliang, Wu, Hongyou
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On sampling theory and basic Sturm–Liouville systems [PDF]
Journal of Computational and Applied Mathematics, 2007 The authors consider the basic Sturm-Liouville problem involving the second order \(q\)-difference equation with \(q\)-Jackson difference operator. The main purpose of this paper is to derive some \(q\)-analogs of the results for the ``classical'' Sturm-Liouville problem, i.e., involving the differential equation.
Annaby, M. H. +2 more
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A counterexample in Sturm–Liouville completeness theory [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004 We give an example of an indefinite weight Sturm-Liouville problem whose eigenfunctions form a Riesz basis under Dirichlet boundary conditions but not under anti-periodic boundary conditions.
Binding, Paul, Ćurgus, Branko
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Direct and inverse spectral theory of Sturm-Liouville differential operators [PDF]
, 2009 Diese Arbeit beschäftigt sich mit inverser Spektraltheorie von selbstadjungierten Sturm-Liouville Differentialoperatoren, induziert durch den gewöhnlichen Differentialausdruck zweiter Ordnung $-\frac{d 2}{dx 2}+q(x)$, im Hilbertraum $L 2(a,b)$. Dabei ist
Eckhardt, Jonathan
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Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]
Adv Sci (Weinh)Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Na X +6 more
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The Liouville transformation in Sturm-Liouville theory [PDF]
, 2012 This thesis deals with Sturm-Liouville theory, the vast area of mathematical research based on the examination of second-order linear ordinary differential equations of the kind $-(py')'+qy=\lambda r y$ on $(a,b) \subseteq \R$ (SL equation).
Kleindeßner, Matthäus
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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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Müntz sturm-liouville problems: Theory and numerical experiments [PDF]
Fractional Calculus and Applied Analysis, 2021 This paper presents two new classes of Müntz functions which are called Jacobi-Müntz functions of the first and second types. These newly generated functions satisfy in two self-adjoint fractional Sturm-Liouville problems and thus they have some spectral properties such as: orthogonality, completeness, three-term recurrence relations and so on.
Hassan Khosravian-Arab +1 more
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The Regulator Problem to the Convection–Diffusion Equation
Mathematics, 2023 In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Langer, Matthias, Woracek, Harald
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