Results 31 to 40 of about 290 (180)
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this article we obtain the eigenfunction expansions of a quadratic pencil of Sturm-Liouville operators with periodic coefficients. The important point to note here is the given potential is a first order generalized function.
Manaf Manafov, Abdullah Kablan
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Boundary Value Problems, 2018 We give a new approach for the estimations of the eigenvalues of non-self-adjoint Sturm–Liouville operators with periodic and antiperiodic boundary conditions. Moreover, we give error estimations, and finally we present some numerical examples.
Cemile Nur
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Ramanujan’s master theorem for sturm liouville operator
Monatshefte für Mathematik, 2022 In this paper we prove an analogue of Ramanujan's master theorem in the setting of Sturm Liouville operator.
K. Jotsaroop, Sanjoy Pusti
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Moisture Decomposition With Normal Modes in Global Data: Balanced and Unbalanced Components
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 13, 16 July 2026.Abstract Decompositions with normal modes have been useful for numerous purposes, such as theoretical understanding of balanced and unbalanced circulations, and applications to data assimilation. However, normal mode decompositions have typically been formulated for dry dynamics without moisture.
Bradley Kumm +3 more
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Analytic investigation of rotating holographic superconductors
European Physical Journal C: Particles and Fields, 2019 In this paper we have investigated, in the probe limit, s-wave holographic superconductors in rotating $$AdS_{3+1}$$ AdS3+1 spacetime using the matching method as well as the Stürm–Liouville eigenvalue approach.
Ankur Srivastav, Sunandan Gangopadhyay
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Eigenvalue Ratios for Sturm-Liouville Operators
Journal of Differential Equations, 1993 This paper deals with estimates for eigenvalue ratios for regular Sturm-Liouville problems \(-[p(x)y']'+q(x)y=\lambda w(x)y\) on a finite interval with Dirichlet boundary conditions. In the general case \(q \geq 0\), the authors prove the upper estimate \(\lambda_ m/ \lambda_ l \leq K \{m/l\} ^ 2/k\) for \(m>l \geq 1\) where \(k\), \(K \geq 0\) are ...
Ashbaugh, Mark S. +1 more
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Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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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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