Results 31 to 40 of about 30,121 (246)

Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]

open access: yes, 2007
A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
Abrahams   +16 more
core   +1 more source

A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators

open access: yesNonlinear Analysis, 2023
The existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators is the topic of our paper.
Sivajiganesan Sivasankar   +2 more
doaj   +1 more source

r-FREDHOLM THEORY IN BANACH ALGEBRAS [PDF]

open access: yesGlasgow Mathematical Journal, 2018
AbstractHarte (1982, Math. Z. 179, 431–436) initiated the study of Fredholm theory relative to a unital homomorphism T: A → B between unital Banach algebras A and B based on the following notions: an element a ∈ A is called Fredholm if 0 is not in the spectrum of Ta, while a is Weyl (Browder) if there exist (commuting) elements b and c in A with a = b +
Benjamin, Ronalda   +2 more
openaire   +3 more sources

Counterexamples in Scale Calculus

open access: yes, 2019
We construct counterexamples to classical calculus facts such as the Inverse and Implicit Function Theorems in Scale Calculus -- a generalization of Multivariable Calculus to infinite dimensional vector spaces in which the reparameterization maps ...
Filippenko, Benjamin   +2 more
core   +1 more source

Statistical properties of general Markov dynamical sources: applications to information theory [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2004
In \textitDynamical sources in information theory: fundamental intervals and word prefixes, B. Vallée studies statistical properties of words generated by dynamical sources. This is done using generalized Ruelle operators.
Frédéric Chazal   +1 more
doaj   +3 more sources

Convergence Comparison of two Schemes for Common Fixed Points with an Application

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2019
      Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear ...
Salwa Salman Abed   +1 more
doaj   +1 more source

Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

open access: yesJournal of Function Spaces, 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami   +2 more
doaj   +1 more source

Ghost effect from Boltzmann theory

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito   +3 more
wiley   +1 more source

Bounded and unbounded Fredholm modules for quantum projective spaces [PDF]

open access: yes, 2010
We construct explicit generators of the K-theory and K-homology of the coordinate algebra of `functions' on quantum projective spaces. We also sketch a construction of unbounded Fredholm modules, that is to say Dirac-like operators and spectral triples ...
Cuntz   +3 more
core   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

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