Results 41 to 50 of about 1,226,242 (181)
A new Green function concept for fourth-order differential equations
Electronic Journal of Differential Equations, 2005 A linear completely nonhomogeneous generally nonlocal multipoint problem is investigated for a fourth-order differential equation with generally nonsmooth coefficients satisfying some general conditions such as p-integrability and boundedness.
Kamil Orucoglu
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Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali +4 more
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Linear Operators That Preserve the Genus of a Graph
Mathematics, 2019 A graph has genus k if it can be embedded without edge crossings on a smooth orientable surface of genus k and not on one of genus k − 1 . A mapping of the set of graphs on n vertices to itself is called a linear operator if the image of a ...
LeRoy B. Beasley +2 more
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Equicontinuity, Expansivity, and Shadowing for Linear Operators
Axioms, 2018 We prove that a linear operator of a complex Banach space has a shadowable point if and only if it has the shadowing property. In addition, every equicontinuous linear operator does not have the shadowing property and its spectrum is contained in the ...
Keonhee Lee, C. A. Morales
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The Singular Value Expansion for Arbitrary Bounded Linear Operators
Mathematics, 2020 The singular value decomposition (SVD) is a basic tool for analyzing matrices. Regarding a general matrix as defining a linear operator and choosing appropriate orthonormal bases for the domain and co-domain allows the operator to be represented as ...
Daniel K. Crane, Mark S. Gockenbach
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Solutions of the system of operator equations $BXA=B=AXB$ via $*$-order
, 2017 In this paper, we establish some necessary and sufficient conditions for the existence of solutions to the system of operator equations $ BXA=B=AXB $ in the setting of bounded linear operators on a Hilbert space, where the unknown operator $X$ is called ...
Moslehian, Mohammad Sal, Vosough, Mehdi
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Mathematics, 2023 This paper introduces the concept of Kato chaos to linear dynamics and its induced dynamics. This paper investigates some properties of Kato chaos for a continuous linear operator T and its induced operators T¯.
Lixin Jiao, Lidong Wang, Heyong Wang
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Ablowitz-Ladik system with discrete potential. I. Extended resolvent
, 1999 Ablowitz-Ladik linear system with range of potential equal to {0,1} is considered. The extended resolvent operator of this system is constructed and the singularities of this operator are analyzed in detail.Comment: To be published in Theor.
A. Bobenko +22 more
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Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk
AxiomsThis work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali +3 more
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Some special characterisations of Fredholm operators in Banach space
Bibechana, 2014 A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
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