Results 231 to 240 of about 3,894 (258)
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ON THE HYPERSTABILITY OF THE DRYGAS FUNCTIONAL EQUATION ON A RESTRICTED DOMAIN
Bulletin of the Australian Mathematical Society, 2019We prove hyperstability results for the Drygas functional equation on a restricted domain (a certain subset of a normed space). Our results are more general than the ones proposed by Aiemsomboon and Sintunavarat [‘Two new generalised hyperstability results for the Drygas functional equation’, Bull. Aust. Math. Soc.95 (2017), 269–280] and our proof does
JEDSADA SENASUKH, SATIT SAEJUNG
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ON HYPERSTABILITY OF ADDITIVE MAPPINGS ONTO BANACH SPACES
Bulletin of the Australian Mathematical Society, 2014AbstractLet$(X,+)$be an Abelian group and$E$be a Banach space. Suppose that$f:X\rightarrow E$is a surjective map satisfying the inequality$$\begin{eqnarray}|\,\Vert f(x)-f(y)\Vert -\Vert f(x-y)\Vert \,|\leq {\it\varepsilon}\min \{\Vert f(x)-f(y)\Vert ^{p},\Vert f(x-y)\Vert ^{p}\}\end{eqnarray}$$for some${\it\varepsilon}>0$,$p>1$and for all$x,y\in
Dong, Yunbai, Zheng, Bentuo
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The Generalized Hyperstability of General Linear Equation in Quasi-2-Banach Space
Acta Mathematica Scientia, 2022Ravi Sharma, S. Chandok
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Hyperstability of cubic functional equation in banach space
Annali dell?Università di Ferrara, 2022Y. Aribou, H. Dimou, Mohamed Rossafi
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Hyperstability in variable structure systems
1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1980Reaching and existence conditions for variable structure systems are considered using hyperstability theory. A new sufficient condition for linear, time invariant systems is derived, and an example is given to illustrate how the condition is more relaxed than the sufficient condition presently used for such systems.
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Sections in functional equations: stability and hyperstability
Aequationes Mathematicae, 2022D. Dăianu
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On the hyperstability of a class of hybrid systems
International Journal of Systems Science, 1997Abstract Sufficient conditions of the hyperstability of a class of single-input single-output hybrid systems, composed of interconnected continuous and discrete subsystems, are given. Hyperstability is guaranteed by that of a discrete extended system which is built by incorporating samples of the continuous substrate.
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On the hyperstability of the generalized class of Drygas functional equations on semigroups
Aequationes Mathematicae, 2021M. Almahalebi +2 more
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Hyperstability of generalized multi-Drygas equation in complete b-metric Abelian group
Bulletin des Sciences MathématiquesIz-iddine El-Fassi
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