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Youth Academic Annual Conference of Chinese Association of Automation, 2021
This paper mainly investigates the optimal control and stabilization problems for discrete-time Markov jump systems with multi-channel multiplicative noise. we use the diagonal matrixes to represent multi-channel multiplicative noise.
Songfu Zhang, Chunyan Han
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This paper mainly investigates the optimal control and stabilization problems for discrete-time Markov jump systems with multi-channel multiplicative noise. we use the diagonal matrixes to represent multi-channel multiplicative noise.
Songfu Zhang, Chunyan Han
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Fractional p ‐Laplacian problem with indefinite weight in RN : Eigenvalues and existence
Mathematical methods in the applied sciences, 2020In this paper, we first study the fractional p ‐Laplacian eigenvalue problem with indefinite weight (−Δp)su=λg(x)|u|p−2uinRN and prove that the problem exists a sequence of eigenvalues that converges to infinity and that the first eigenvalue is simple ...
Na Cui, Hong‐Rui Sun
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Sturm-Liouville operators with an indefinite weight function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977SynopsisSpectral properties of the singular Sturm-Liouville equation –(p−1y′)′ + qy = λry with an indefinite weight function r are studied in . The main tool is the theory of definitisable operators in spaces with an indefinite scalar product.
H. Langer, K. Daho
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Nonhomogeneous eigenvalue problem with indefinite weight
Complex Variables and Elliptic Equations, 2017This paper, following the theory of partial differential equations on the Orlicz–Sobolev spaces, is mainly concerned with the nonhomogeneous eigenvalue problem involving variable growth conditions ...
Chang Geng, Bin Ge
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Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2020
Let $\Omega \subset \mathbb {R}^N$ , $N\geq 2$ , be an open bounded connected set. We consider the fractional weighted eigenvalue problem $(-\Delta )^s u =\lambda \rho u$ in $\Omega $ with homogeneous Dirichlet boundary condition, where ...
C. Anedda, F. Cuccu, Silvia Frassu
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Let $\Omega \subset \mathbb {R}^N$ , $N\geq 2$ , be an open bounded connected set. We consider the fractional weighted eigenvalue problem $(-\Delta )^s u =\lambda \rho u$ in $\Omega $ with homogeneous Dirichlet boundary condition, where ...
C. Anedda, F. Cuccu, Silvia Frassu
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Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
Calculus of Variations and Partial Differential Equations, 2016In this paper, we are interested in the analysis of a well-known free boundary/shape optimization problem motivated by some issues arising in population dynamics.
Jimmy Lamboley +3 more
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Optimization of Robin Laplacian Eigenvalue With Indefinite Weight in Spherical Shell
Mathematical methods in the applied sciencesThis paper is concerned with an optimization problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimization problem thanks to the known bang–bang distribution of the optimal weight function.
Baruch Schneider +2 more
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An elliptic boundary problem involving an indefinite weight
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000The spectral theory for non-self-adjoint elliptic boundary problems involving an indefinite weight function has only been established for the case of higher-order operators under the assumption that the reciprocal of the weight function is essentially bounded.
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A linear eigenvalue problem with indefinite weight function
Archiv der Mathematik, 1993The author considers the linear eigenvalue problem \[ -\Delta u(x) = \lambda g(x) u(x) \text{ in } \mathbb{R}^ N,\;u(x) \to 0 \text{ as } | x | \to \infty, \tag{1} \] where \(N \geq 3\), \(\Delta\) denotes the Laplacian and \(g\) is a real-valued function which changes sign.
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Positive Solutions for Third-Order Boundary Value Problems with Indefinite Weight
Mediterranean Journal of Mathematics, 2023Zhonghua Bi, Sanyang Liu
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