Results 201 to 210 of about 567,385 (243)
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Transactions of the Moscow Mathematical Society, 2014
Summary: Let \( (a,b)\subset \mathbb{R}\) be a finite or infinite interval, let \( p_0(x)\), \( q_0(x)\), and \( p_1(x)\), \( x\in (a,b)\), be real-valued measurable functions such that \( p_0,p^{-1}_0\), \( p^2_1p^{-1}_0\), and \( q^2_0p^{-1}_0\) are locally Lebesgue integrable (i.e., lie in the space \( L^1_{\operatorname {loc}}(a,b)\)), and let~\( w(
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Summary: Let \( (a,b)\subset \mathbb{R}\) be a finite or infinite interval, let \( p_0(x)\), \( q_0(x)\), and \( p_1(x)\), \( x\in (a,b)\), be real-valued measurable functions such that \( p_0,p^{-1}_0\), \( p^2_1p^{-1}_0\), and \( q^2_0p^{-1}_0\) are locally Lebesgue integrable (i.e., lie in the space \( L^1_{\operatorname {loc}}(a,b)\)), and let~\( w(
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A novel and application-oriented inverse nodal problem for Sturm–Liouville operators
Mathematische AnnalenThis paper develops a methodological framework for addressing a novel and application-oriented inverse nodal problem in Sturm–Liouville operators, having significant applications in seismic wave analysis and submarine underwater radar (sonar) detection ...
Yu-Chao He +3 more
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Solvability of an inverse problem for discontinuous Sturm–Liouville operators
Mathematical methods in the applied sciences, 2020In this paper, we consider the Sturm–Liouville equation with the jump conditions inside the interval (0,π). The inverse problem is studied, which consists in recovering operator coefficients from two spectra, corresponding to different boundary ...
Ran Zhang, N. Bondarenko, Chuan-Fu Yang
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On the Sturm-Liouville operator
Differential Equations, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uncertainty Principles for Sturm?Liouville Operators
Constructive Approximation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhongkai, Liu, Limin
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Invariant transformations for the Sturm-Liouville operator
Journal of Mathematical Sciences, 2006The Sturm-Liouville operator is considered on a finite interval. For particular boundary conditions, a group of invariant transformations that preserve the operator spectrum is constructed. The influence of the group of transformations on the inverse problem is discussed.
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Separation of the Sturm–Liouville differential operator with an operator potential
Applied Mathematics and Computation, 2004The vector-valued Sturm-Liouville differential operator \[ Ay(x)=-\frac{d}{dx}(\mu(x)\frac{dy}{dx})+V(x)y(x), \] is considered, where \(V(x)=(v_{ij}(x))_{i,j=1}^\infty \) is a bounded operator and \(\mu(x)\) is a positive \(C^1\)-function in \(\mathbb R\).
A. S. Mohammed, H. A. Atia
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2012
Chapter 15 deals with the Hilbert space theory of Sturm–Louville operators \(-\frac{d^{2}}{dx^{2}}+ q(x)\) on intervals. First, we study the case of regular end points. Then we develop the fundamental results of H. Weyl’s classical limit point–limit circle theory. Some general limit point and limit circle criteria are proved.
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Chapter 15 deals with the Hilbert space theory of Sturm–Louville operators \(-\frac{d^{2}}{dx^{2}}+ q(x)\) on intervals. First, we study the case of regular end points. Then we develop the fundamental results of H. Weyl’s classical limit point–limit circle theory. Some general limit point and limit circle criteria are proved.
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On recovering Sturm—Liouville operators on graphs
Mathematical Notes, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Criteria of limit‐point case for conformable fractional Sturm‐Liouville operators
Mathematical methods in the applied sciences, 2019In this paper, the 2α‐order conformable fractional Sturm‐Liouville operator ℓα(y)=−TαpTαy+qy,x∈[a,∞),a>0 is considered. Two criteria of limit‐point case in the frame of conformable fractional derivatives are obtained.
Zhao-Wen Zheng +3 more
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