Results 1 to 10 of about 907 (263)

Analysis Of Korteweg-Type Compressible Fluid Model With Slip Boundary Conditions In 3-Dimensional Half-Space

Cauchy: Jurnal Matematika Murni dan Aplikasi
The Korteweg fluid model is typically used to describe the flow of two-phase fluids, where phase transitions occur at the interface, recognized by capillary effects.
Suma Inna, Muhammad Manaqib, Ilman Gifari   +2 more
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The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Annales Mathematicae Silesianae
In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P., Tuna Hüseyin, Isayev Hamlet A.   +2 more
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On the Growth of the Resolvent of a Toeplitz Operator

Zurnal matematiceskoj fiziki, analiza, geometrii
Summary: We study the growth of the resolvent of a Toeplitz operator \(T_b\), defined on the Hardy space, in terms of the distance to its spectrum \(\sigma(T_b)\). We are primarily interested in the case when the symbol \(b\) is a Laurent polynomial (i.e., the matrix \(T_b\) is banded).
Golinskii, Leonid, Kupin, Stanislas, Vishnyakova, Anna   +2 more
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On the resolvent of a dilation for polynomially bounded operators [PDF]

Integral Equations and Operator Theory, 1994
Let \(H\) be a separable complex Hilbert space and let \(T\) be in \(L(H)\). A subspace \(M\subset H\) is said to be semi-invariant for \(T\) if there exist invariant subspaces \(N_ 1\supset N_ 2\) for \(T\) such that \(M= N_ 1\ominus N_ 2\). The author proves that if \(T\) is polynomially bounded, then, for every \(\varepsilon> 0\), there exists a ...
openaire   +1 more source

Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation

Mathematics, 2019
In this paper, we consider a resolvent operator which depends on the composition of two mappings with ⊕ operation. We prove some of the properties of the resolvent operator, that is, that it is single-valued as well as Lipschitz-type-continuous. An
Rais Ahmad, Imran Ali, Saddam Husain, A. Latif, Ching-Feng Wen   +4 more
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On the bounded invertibility of a Schr¨odinger operator with a negative parameter in the space L2(Rn )

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The Schrödinger operator L = -∆ + q ( x ) , x ∈ Rn, is one of the main operators of modern quantum mechanics and theoretical physics. It is known that many fundamental results have been obtained for the Schrödinger operator L .
M.B. Muratbekov, M.M. Muratbekov
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Approximate controllability for a stochastic elastic system with structural damping and infinite delay

Open Mathematics, 2023
In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui, Gao Xiang, Su Yongbing, Kang Xiaodong   +3 more
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A comparison theorem for operators with compact resolvent [PDF]

Proceedings of the American Mathematical Society, 1971
The asymptotic behavior of the eigenvalue sequence of a semibounded operator with compact resolvent is stable under relatively bounded perturbations.
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Resolvent estimates for the magnetic Schrödinger operator [PDF]

Analysis & PDE, 2014
We prove optimal high-frequency resolvent estimates for perturbations by large magnetic and electric ...
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Investigation of the Spectral Properties of a Non-Self-Adjoint Elliptic Differential Operator

International Journal of Mathematics and Mathematical Sciences, 2021
Non-self-adjoint operators have many applications, including quantum and heat equations. On the other hand, the study of these types of operators is more difficult than that of self-adjoint operators.
Arezoo Ghaedrahmati, Ali Sameripour
doaj   +1 more source