Results 21 to 30 of about 603 (164)
A boundary value problem for a random-order fractional differential equation
In this paper, we define a new Riemann–Liouville fractional integral with random order, from this Caputo and Riemann–Liouville fractional derivatives are straightforward obtained, where the fractional order of these operators is a simple random variable.
Omar U. Lopez-Cresencio +3 more
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Tauberian operators in p-adic analysis
In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p-adic Tauberian operators and operators having property N in terms of basic sequences.
Takemitsu Kiyosawa
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For Moisil–Theodoresco system with junior members a problem of new type, called Riemann–Hilbert problem with discontinuous coefficients, is considered. Under certain conditions this problem is proved to have Fredholm property for the mentioned system.
Rima Matiukaitė
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A degree theory for compact perturbations of proper C1 Fredholm mappings of index 0
We construct a degree for mappings of the form F+K between Banach spaces, where F is C1 Fredholm of index 0 and K is compact. This degree generalizes both the Leray-Schauder degree when F=I and the degree for C1 Fredholm mappings of index 0 when K=0.
Patrick J. Rabier, Mary F. Salter
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TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder
The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the ...
Garnik V. Abgaryan, Yury V. Shestopalov
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Elliptic operators on refined Sobolev scales on vector bundles
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
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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 Theory Relative to Any Algebra Homomorphisms
In 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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The boundary value problem for an ordinary linear half-order differential equation
This 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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The 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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