Results 31 to 40 of about 3,995 (269)

On Approximate Solutions of Functional Equations in Vector Lattices

open access: yesAbstract and Applied Analysis, 2014
We provide a method of approximation of approximate solutions of functional equations in the class of functions acting into a Riesz space (algebra). The main aim of the paper is to provide a general theorem that can act as a tool applicable to a possibly
Bogdan Batko
doaj   +1 more source

A Novel Decomposition-Based Growth Model for Simulating Stress-Modulated Spinal Growth. [PDF]

open access: yesInt J Numer Method Biomed Eng
This study introduces the first decomposition‐based finite‐strain growth model for a simplified Functional Spinal Unit, where growth occurs simultaneously with mechanical loading. The approach eliminates the major physical inconsistency of sequential methods—growth in an artificial stress‐free configuration—while preventing mesh distortion and ...
Çakmak SO, Gürses E.
europepmc   +2 more sources

A class of abstract quasi-linear evolution equations of second order

open access: yes, 1999
In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
core   +1 more source

A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations

open access: yesJournal of Function Spaces, 2015
We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations.
Yang-Hi Lee, Soon-Mo Jung
doaj   +1 more source

Cauchy′s functional equation in restricted complex domains [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Using a method modified from that used by Pisot and Schoenberg in 1964‐1965, a Cauchy′s functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.
Watcharapon Pimsert   +2 more
openaire   +3 more sources

Stability of Functional Equations in Dislocated Quasi-Metric Spaces

open access: yesAnnales Mathematicae Silesianae, 2018
We present a result on the generalized Hyers-Ulam stability of a functional equation in a single variable for functions that have values in a complete dislocated quasi-metric space.
Hejmej Beata
doaj   +1 more source

Strain‐Programmable Luminescent Adhesive Patch With Tartrazine‐Mediated Optical Skin Clearing for Photochemical Tissue Bonding

open access: yesAdvanced Functional Materials, EarlyView.
We propose a suture‐complementary approach that integrates optical skin clearing with a strain‐programmable luminescent adhesive patch. Hyaluronic acid promotes transdermal delivery of tartrazine to improve optical clearing and stabilizes its interaction with a photosensitizer. Optical clearing increases the penetration depth of visible light into skin,
Seong‐Jong Kim   +6 more
wiley   +1 more source

On the Stability Problem in Fuzzy Banach Space

open access: yesAbstract and Applied Analysis, 2012
We investigate the generalized Ulam-Hyers stability of the Cauchy functional equation and pose two open problems in fuzzy Banach space.
G. Zamani Eskandani   +2 more
doaj   +1 more source

On the stability of a Cauchy type functional equation

open access: yesDemonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye   +3 more
doaj   +1 more source

Métodos de Maz'ia e Landweber para o problema de Cauchy elíptico [PDF]

open access: yes, 2015
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2015.Nesta dissertação foi trabalhado o clássico exemplo de problema mal ...
Souza, Mario Luiz Previatti de
core  

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