Results 71 to 80 of about 567,385 (243)
Applications of the theory of generalized Fourier transforms to Tikhonov problems
Journal of Numerical Analysis and Approximation TheoryWe define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions.
Fethi Soltani, Akram Nemri
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Journal of Differential Equations, 2019 The non-real spectrum of a singular indefinite Sturm–Liouville operator A = 1 r ( − d d x p d d x + q ) with a sign changing weight function r consists (under suitable additional assumptions on the real coefficients 1 / p , q , r ∈ L loc 1 ( R ) ) of ...
J. Behrndt, Philipp Schmitz, C. Trunk
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Effect of Field Line Torsion on the Polarization of ULF Waves
Journal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
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Sturm-Liouville operators with distributional potentials
, 2003 Submitted to Proceedings of Moscow Mathematical ...
Savchuk, A. M., Shkalikov, A. A.
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Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
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在有限區間向量型Sturm-Liouville方程式的唯一性定理
, 2013 博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習，Yurko ( [24] , 2006)利用Weyl矩陣，提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文，首先；對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題，我們將証明ㄧ般的h1 , H1，亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性，我們主要工作是在向量微分方程式邊界值反問題上，探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係 ...
Shieh, Chung-Tsun +1 more
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Spectral bounds for singular indefinite Sturm-Liouville operators with $L^1$--potentials [PDF]
, 2017 The spectrum of the singular indefinite Sturm-Liouville operator $$A=\text{\rm sgn}(\cdot)\bigl(-\tfrac{d^2}{dx^2}+q\bigr)$$ with a real potential $q\in L^1(\mathbb R)$ covers the whole real line and, in addition, non-real eigenvalues may appear if the ...
J. Behrndt, Philipp Schmitz, C. Trunk
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The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
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Fractional singular Sturm-Liouville problems on the half-line
Advances in Difference Equations, 2017 In this paper, we consider two types of singular fractional Sturm-Liouville operators. One comprises the composition of left-sided Caputo and left-sided Riemann-Liouville derivatives of order α ∈ ( 0 , 1 ) $\alpha \in(0,1)$ .
Pisamai Kittipoom
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Boundary Value Problems, 2020 In this paper we consider singular Sturm–Liouville problems with eigenparameter dependent boundary conditions and two singular endpoints. The spectrum of such problems can be approximated by those of the inherited restriction operators constructed.
Maozhu Zhang, Kun Li, Hongxiang Song
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