Results 41 to 50 of about 2,534 (231)

Ulam type stability problems for alternative homomorphisms [PDF]

, 2014
We introduce an alternative homomorphism with respect to binary operations and investigate the Ulam type stability problem for such a mapping. The obtained results apply to Ulam type stability problems for several important functional equations ...
A Bahyrycz, A Gilányi, A Gilányi, A Simon, GH Kim, GH Kim, H-M Kim, Hiroyuki Takagi, J Brzdȩk, J Brzdȩk, J Brzdȩk, J Brzdȩk, K Ciepliński, Kotaro Tanahashi, M Piszczek, Makoto Tsukada, N Brillouët-Belluot, S-E Takahasi, S-M Jung, Sin-Ei Takahasi, Takeshi Miura, W Jarczyk, Z Gajda, Z Páles, Z Páles   +24 more
core   +2 more sources

Orthogonally Fixed Points and (m, m)-Hom-Derivation Equations

Journal of Mathematics, 2022
In this paper, we introduce the concept of m-Hom-m-derivation (briefly (m, m)-Hom-derivation) equations in orthogonally Banach algebras. We use the orthogonally fixed point to investigate the hyperstability of (m, m)-Hom-derivation equations.
Abdollah Dinmohammadi
doaj   +1 more source

Peptoid Residues Make Diverse, Hyperstable Collagen Triple Helices [PDF]

Journal of the American Chemical Society, 2020
The triple-helical structure of collagen, responsible for collagen’s remarkable biological and mechanical properties, has inspired both basic and applied research in synthetic peptide mimetics for decades. Since non-proline amino acids weaken the triple helix, the cyclic structure of proline has been considered necessary, and functional collagen ...
Julian L. Kessler, Grace Kang, Zhao Qin, Helen Kang, Frank G. Whitby, Thomas E. Cheatham, Christopher P. Hill, Yang Li, S. Michael Yu   +8 more
openaire   +2 more sources

Adaptive Control Design and Stability Analysis of Robotic Manipulators

Actuators, 2018
In this paper, the author presents the adaptive control design and stability analysis of robotic manipulators based on two main approaches, i.e., Lyapunov stability theory and hyperstability theory.
Bin Wei
doaj   +1 more source

Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability

Journal of Mathematics, 2022
In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional ...
Vahid Keshavarz, Sedigheh Jahedi
doaj   +1 more source

Approximate Cubic Lie Derivations

Abstract and Applied Analysis, 2013
We study the stability and hyperstability of cubic Lie derivations on normed algebras. At the end, we write some additional observations about our results.
Ajda Fošner, Maja Fošner
doaj   +1 more source

Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces

Demonstratio Mathematica, 2018
We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f (x + y + z) + f (x + y − z) + f (x − y + z) + f (−x + y + z) = 4[f (x) + f (y) + f (z)] in the class of functions from an abelian group G into a Banach ...
Kim Gwang Hui, El-Fassi Iz-iddine, Park Choonkil   +2 more
doaj   +1 more source

Hybrid Semi-Active Mass Dampers in Structures; Assessing and Optimising Their Damping Capacity [PDF]

, 2017
The paper discusses the “software”-optimisation of a novel, energy-, cost- efficient hybrid semi-active tuned mass damper configuration applicable to earthquake and wind structural vibration mitigation.
Amini, Chang, Collette, Demetriou, Demetriou, Demetriou Demetris, Guclu, Haertling, Ikeda, Nikitas Nikolaos, Ricciardelli, Scruggs, Yang, Zhang, Zhang   +14 more
core   +1 more source

About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma

Discrete Dynamics in Nature and Society, 2017
This paper formulates an “ad hoc” robust version under parametrical disturbances of the discrete version of the Kalman-Yakubovich-Popov Lemma for a class of positive hybrid dynamic linear systems which consist of a continuous-time system coupled with a ...
M. De la Sen
doaj   +1 more source

Stability of a Bi-Jensen Functional Equation on Restricted Unbounded Domains and Some Asymptotic Behaviors

Mathematics, 2022
In this paper, we give some properties of the bi-Jensen functional equation and investigate its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is not continuous.
Jae-Hyeong Bae, Mohammad Amin Tareeghee, Abbas Najati   +2 more
doaj   +1 more source