Results 21 to 30 of about 221 (156)
Stability of Trigonometric Functional Equations in Generalized Functions
Journal of Inequalities and Applications, 2010 We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.
Jeongwook Chang, Jaeyoung Chung
doaj +2 more sources
Stability of Quartic Functional Equations in the Spaces of Generalized Functions
Advances in Difference Equations, 2009 We consider the general solution of quartic functional equations and prove the Hyers-Ulam-Rassias stability. Moreover, using the pullbacks and the heat kernels we reformulate and prove the stability results of quartic functional equations in the spaces ...
Chung Soon-Yeong, Lee Young-Su
doaj +2 more sources
Generic Fibrational Induction [PDF]
Logical Methods in Computer Science, 2012 This paper provides an induction rule that can be used to prove properties of data structures whose types are inductive, i.e., are carriers of initial algebras of functors.
Neil Ghani +2 more
doaj +1 more source
A Characterization for Fourier Hyperfunctions
Publications of the Research Institute for Mathematical Sciences, 1994 The space of test functions for Fourier hyperfunctions is characterized by two conditions \sup |φ (x)| \exp k|x|<∞ and \sup|\hat φ(ξ) | \exp h|ξ|<∞ for some
Chung, Jaeyoung +2 more
openaire +3 more sources
Ulam Problem for the Cosine Addition Formula in Sato Hyperfunctions
Journal of Function Spaces, 2015 We prove the Ulam problem for the cosine addition formula in the spaces of Schwartz distributions and Sato hyperfunctions with respect to bounded distributions and bounded hyperfunctions.
Jaeyoung Chung, Soon-Yeong Chung
doaj +1 more source
Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
Journal of Inequalities and Applications, 2008 Making use of the pullbacks, we reformulate the following quadratic functional equation: in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam ...
Lee Young-Su
doaj +2 more sources
On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
Abstract and Applied Analysis, 2013 We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.
Jaeyoung Chung, Jeongwook Chang
doaj +1 more source
Regularization of Hyperfunctions
Zeitschrift für Analysis und ihre Anwendungen, 2006 We show that there are no continuous regularization procedures for the extension of hyperfunctions. We also show that there is a continuous projection operator from the space of hyperfunctions with support in a given compact set onto the subspace of hyperfunctions with support on a given \textsl{closed} subset if and only if the subset is a countable ...
openaire +2 more sources
ESC Heart Failure, Volume 12, Issue 2, Page 1194-1202, April 2025.Abstract Aims Cardiac decompensation in cardiorenal syndrome (CRS) results in systemic congestion usually treated with diuretics. When despite high doses of diuretics, response is poor, ultrafiltration (UF) appears to be a useful and safe technique.
Borja Guerrero Cervera +12 more
wiley +1 more source
Food Safety and Health, EarlyView.Fenugreek and stevia extracts protect against dexamethasone‐induced testicular damage in male rats by enhancing antioxidant defenses, improving sperm quality, and restoring hormonal balance, highlighting their potential as natural therapeutics for preventing corticosteroid‐induced reproductive toxicity.
Mosab Gad +3 more
wiley +1 more source