Results 21 to 30 of about 101 (82)
Perturbation Theory for Abstract Volterra Equations
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We consider additive perturbation theorems for subgenerators of (a, k)‐regularized C‐resolvent families. A major part of our research is devoted to the study of perturbation properties of abstract time‐fractional equations, primarily from their importance in modeling of various physical phenomena. We illustrate the results with several examples.
Marko Kostić, Irena Lasiecka
wiley +1 more source
Convergence in the space of Fourier hyperfunctions
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pilipović, Stevan, Stanković, Bogoljub
openaire +3 more sources
Evidence-Based Complementary and Alternative Medicine, Volume 2013, Issue 1, 2013., 2013 Jian‐Pi‐Zhi‐Dong Decoction (JPZDD) is dedicated to the treatment for Tourette syndrome (TS) with the guidance of the theories of Traditional Chinese Medicine (TCM). This study aims to investigate the expression of dopamine transporter (DAT) in the striatum and stereotyped behavior of TS mice model by intervention of JPZDD.
Dao-han Wang +5 more
wiley +1 more source
Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 5, Page 755-788, 2005., 2005 We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel′fand‐
Andreas U. Schmidt
wiley +1 more source
Fundamental Properties of Modified Fourier Hyperfunctions
Tokyo Journal of Mathematics, 1985 There are three types of (vector-valued) Fourier hyperfunctions: classical (1960, 1975), modified (1976) and of mixed type (1981). The sheaves of these three types of Fourier hyperfunctions are defined on \(D^ n\), the radial compactification of \(R^ n\), all three of them are flabby, and each space of global sections of sheaves is stable under Fourier
openaire +2 more sources
European Journal of Neuroscience, Volume 63, Issue 7, April 2026.During an auditory deviance detection task, naïve mice and mice injected with sub‐anesthetic ketamine show marked differences in spiking activity and mesoscale connectivity. Control mice exhibit a biphasic spiking response to deviant sounds, whereas the late spiking component is abolished by ketamine.
Maria Isabel Carreño‐Muñoz +4 more
wiley +1 more source
A uniqueness theorem for Boehmians of analytic type
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 501-504, 2000., 2000 The following uniqueness theorem is proven for a class of generalized functions. If F is a Boehmian of analytic type and F = 0 on some open arc Ω, then F ≡ 0.
Dennis Nemzer
wiley +1 more source
VIEW, Volume 7, Issue 1, February 2026.Notes: Their molecular characteristics—such as IDH genotype, P53 phenotype, and Ki‐67 labeling index—are critical determinants of treatment strategies and prognosis for patients of adult‐type diffuse gliomas. In this study, we employed 7‐tesla sodium magnetic resonance imaging (23Na MRI) and demonstrated that total sodium concentration (TSC) and ...
Letian Yuan +9 more
wiley +1 more source
International Journal of Stochastic Analysis, Volume 11, Issue 1, Page 43-58, 1998., 1997 In this paper, we propose a generalization of continuous‐time processed defined by , to the case of f being a distribution. We give a necessary and sufficient condition for f, such that the obtained process is a second order distribution process. We study the moments and the regularity of these processes. In addition, we investigate a generalization to
L. Bel +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 685-692, 1989., 1988 A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contain all Beurling distributions. An example of a hyperfunctlon that is not a Boehmian is given. Some growth conditions on the Fourier coefficients of a Boehmian are given.
Dennis Nemzer
wiley +1 more source