Results 31 to 40 of about 19,956 (200)
Fredholm Theory Relative to Any Algebra Homomorphisms
MathematicsIn this paper, we give another definition of Ruston elements and almost Ruston elements, which is equivalent to the definitions given by Mouton and Raubenheimer in the case that the homomorphism has a closed range and Riesz property.
Yingying Kong, Yabo Wang, Jingen Yang
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Mathematics, 2021 In recent years, complex-valued fuzzy metric spaces (in short CVFMS) were introduced by Shukla et al. (Fixed Point Theory 32 (2018)). This setting is a valuable extension of fuzzy metric spaces with the complex grade of membership function.
Humaira +3 more
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Fredholm conditions on non-compact manifolds: theory and examples
, 2017 We give explicit Fredholm conditions for classes of pseudodifferential operators on suitable singular and non-compact spaces. In particular, we include a "user's guide" to Fredholm conditions on particular classes of manifolds including asymptotically ...
Carvalho, Catarina +2 more
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The boundary value problem for an ordinary linear half-order differential equation
Қарағанды университетінің хабаршысы. Математика сериясыThis study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients.
N. Aliyev, M. Rasulov, B. Sinsoysal
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Limit operators, collective compactness, and the spectral theory of infinite matrices [PDF]
, 2010 In the first half of this memoir we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch and Silbermann (2004) and Lindner (2006)) and the concepts and results of the ...
Chandler-Wilde, Simon N., Lindner, Marko
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MathematicsThe spectral property (ωπ) generalizes the a-Weyl theorem and characterizes the relationships between the spectrum and the upper semi-Fredholm spectrum.
Elvis Aponte, Ennis Rosas
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Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators
Abstract and Applied Analysis, 2011 The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.
N. Apreutesei, V. Volpert
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Современная математика: Фундаментальные направления, 2021 We consider the generalized Neumann problem for a 2lth-order elliptic equation with constant real higher-order coefficients in an infinite domain containing the exterior of some circle and bounded by a sufficiently smooth contour.
B. D. Koshanov, A. P. Soldatov
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, 2009 We study the parametrized Hamiltonian action functional for finite-dimensional families of Hamiltonians. We show that the linearized operator for the $L^2$-gradient lines is Fredholm and surjective, for a generic choice of Hamiltonian and almost complex ...
Bourgeois, Frédéric, Oancea, Alexandru
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Difference Equations in a Multidimensional Space
Mathematical Modelling and Analysis, 2016 One considers a general difference equation in a multidimensional space with continuous coefficients in the space of integrable functions. Necessary and sufficient conditions for a Fredholm property are obtained with a help of the Fourier transform and ...
Alexander V. Vasilyev +1 more
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