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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Indefinite Sturm–Liouville Operators in Polar Form
Integral Equations and Operator Theory50 ...
Branko Ćurgus +2 more
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New Type of Sturm-Liouville Problems in Associated Hilbert Spaces
Journal of Function Spaces, 2014 We introduce a new type of discontinuous Sturm-Liouville problems, involving an abstract linear operator in equation. By suggesting own approaches we define some new Hilbert spaces to establish such properties as isomorphism, coerciveness, and maximal ...
O. Sh. Mukhtarov, K. Aydemir
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DeepGreen: deep learning of Green's functions for nonlinear boundary value problems. [PDF]
Sci Rep, 2021 Gin CR, Shea DE, Brunton SL, Kutz JN.
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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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Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems. [PDF]
MethodsX, 2023 Farzana H +3 more
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Spectral Analysis of -Sturm-Liouville Problem with the Spectral Parameter in the Boundary Condition
Journal of Function Spaces and Applications, 2012 This paper is concerned with -Sturm-Liouville boundary value problem in the Hilbert space with a spectral parameter in the boundary condition. We construct a self-adjoint dilation of the maximal dissipative -difference operator and its incoming and ...
Aytekin Eryılmaz
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Donoghue 𝑚-functions for Singular Sturm–Liouville operators
St. Petersburg Mathematical JournalLet A ˙ \dot {A} be a densely defined, closed, symmetric operator in the complex, separable Hilbert space H \mathcal {H} with equal deficiency indices and denote by N i = ker ( (
Gesztesy, F. +4 more
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Sturm-Liouville operator with general boundary conditions
Electronic Journal of Differential Equations, 2005 We classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space.
Ciprian G. Gal
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Data-driven discovery of Green's functions with human-understandable deep learning. [PDF]
Sci Rep, 2022 Boullé N, Earls CJ, Townsend A.
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