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Titlebook: Nonlinear Analysis; Stability, Approxima Panos M. Pardalos,Pando G. Georgiev,Hari M. Srivas Book 2012 Springer Science+Business Media, LLC

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On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in ,,-Ternary AlgebrasIn this paper, we prove the generalized Hyers–Ulam–Rassias stability of bi-quadratic bi-homomorphisms in ..-ternary algebras and quasi-Banach algebras. Moreover, we investigate stability of bi-quadratic bi-derivations on ..-ternary algebras and quasi-Banach algebras.
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Approximately Cubic ,-Derivations on Non-archimedean Banach Algebras,Let .>1 be an integer, let . be an algebra, and let . be an .-module. An additive map . is called an .-derivation if . for all .. We investigate the Hyers–Ulam–Rassias stability of cubic .-derivations from non-archimedean Banach algebras into non-archimedean Banach modules.
发表于 2025-3-25 21:33:52 | 显示全部楼层
Fuzzy Stability of a Quadratic-Additive Type Functional Equation,In this paper, we investigate a fuzzy version of stability for the functional equation . in the sense of M. Mirmostafaee and M.S. Moslehian.
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Rationality of the Moduli Space of Stable Pairs over a Complex Curve,a concept of stability for pairs depending on a real parameter ., giving rise to moduli spaces . of .-stable pairs of rank . and fixed determinant .. In this paper, we prove that the moduli spaces . are in many cases rational.
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On a Curious ,-Hypergeometric Identity,em is sensitive to small perturbations and the very existence of a limit, to say nothing of its precise form, is surprising. We determine it by showing that the task at hand is equivalent to the convergence of one set of orthogonal polynomials on the unit circle to another such set, Geronimus polynomials, as .→1.
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Springer Optimization and Its Applicationshttp://image.papertrans.cn/n/image/667316.jpg
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