Results 71 to 80 of about 8,236 (196)
A Fourth‐Order Ulm‐Type Method for Inverse Eigenvalue Problems
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we propose a fourth‐order Ulm‐type method for solving inverse eigenvalue problems based on a two‐step Ulm‐type iterative process and Cayley transform. Under some mild assumptions, our results indicate that our method is fourth‐order convergent. The numerical implementation proves the effectiveness of the proposed method.
Xin Li, Wei Ma, Zhaojie Zhou
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On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem
Journal of Function Spaces, 2020 An m-dimensional vectorial inverse nodal Sturm-Liouville problem with eigenparameter-dependent boundary conditions is studied. We show that if there exists an infinite sequence ynj,rx,λnj,r2j=1∞ of eigenfunctions which are all vectorial functions of type
Xiaoyun Liu
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An inverse spectral problem for Sturm-Liouvile operator with integral delay
Electronic Journal of Differential Equations, 2017 In this article, we study an inverse spectral problem for Sturm-Liouville operator with integral delay. We prove that the standard spectral asymptotic conditions are necessary and sufficient for unique solvability of the inverse problem.
Manaf Dzh. Manafov
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On Inverse Sturm-Liouville Problems With Symmetric Potentials
ITM Web of Conferences, 2017 In this paper an inverse problem − y ″ + p x y = λ y y ′ 0 − h y 0 = y ′ 1 + h y 1 = 0 where p are integrable on [0, 1] and satisfy the symmetry conditions p(x) = p(1 − x) almost everywhere in the interval 0 ≤ x ≤ 1.
Tuz Münevver
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Neumann series of Bessel functions for inverse coefficient problems
Mathematical Methods in the Applied Sciences, Volume 47, Issue 16, Page 12373-12387, 15 November 2024.Consider the Sturm–Liouville equation −y′′+q(x)y=ρ2y$$ -{y}^{\prime \prime }+q(x)y={\rho}^2y $$ with a real‐valued potential q∈L1(0,L),ρ∈ℂ,L>0$$ q\in {\mathcal{L}}_1\left(0,L\right),\rho \in \mathrm{\mathbb{C}},L>0 $$.
Fatma Ayça Çetinkaya +2 more
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Miskolc Mathematical NotesThis paper is concerned with an inverse scattering problem for Sturm-Liouville operator with polynomials of spectral parameter in boundary condition. We provide scattering data and present some spectral properties.
Aynur Çöl, Khanlar Mamedov
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Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo +3 more
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Electronic Journal of Differential Equations, 2015 In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given ...
Manaf Dzh. Manafov, Abdullah Kablan
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Abstract and Applied Analysis, 2013 The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval.
A. S. Ozkan, B. Keskin, Y. Cakmak
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Journal of Advances in Modeling Earth Systems, Volume 16, Issue 9, September 2024.Abstract Wind‐generated near‐inertial internal waves (NIWs) are characterized by dominant long‐range equatorward radiation due to the gradient of the planetary vorticity, known as the β‐refraction effect. In this study, we analyze the effects of horizontal model resolution on the long‐range equatorward radiation of NIWs.
Bingrong Sun +4 more
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