Results 21 to 30 of about 36,200 (257)
Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces
, 2023 In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method).
Jyotsana Jakhar +5 more
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Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances
, 2023 This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances.
Chengdan Wang +2 more
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On the convergence of the combination technique [PDF]
, 2013 Sparse tensor product spaces provide an efficient tool todiscretize higher dimensional operator equations. The direct Galerkin method in such ansatz spaces may employ hierarchical bases, interpolets, wavelets or multilevel frames. Besides, an alternative
Griebel, Michael +3 more
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, 2022 We aim to introduce the quadratic-additive functional equation (shortly, QA-functional equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam result with a view of the aforementioned functional equation by ...
Syed Abdul Mohiuddine +2 more
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Journal of Function Spaces, 2022 This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach spaces.
N. Uthirasamy +2 more
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, 2023 International audienceThis paper investigates necessary and sufficient Lyapunov conditions for Input-to-State Stability (ISS) of Linear Difference Equations with pointwise delays and an additive exogenous signal.
Auriol, Jean, Bresch-Pietri, Delphine
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Some representations of the general solution to a difference equation of additive type [PDF]
Advances in Difference Equations, 2019 AbstractThe general solution to the difference equation$$x_{n+1}=\frac {ax_{n}x_{n-1}x_{n-2}+bx_{n-1}x_{n-2}+cx_{n-2}+d}{x_{n}x_{n-1}x_{n-2}},\quad n\in\mathbb{N}_{0}, $$xn+1=axnxn−1xn−2+bxn−1xn−2+cxn−2+dxnxn−1xn−2,n∈N0,where$a, b, c\in\mathbb{C}$a,b,c∈C,$d\in\mathbb{C}\setminus\{0\}$d∈C∖{0}, is presented by using the coefficients, the initial values ...
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GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
, 2002 This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
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Additive difference scheme for two-dimensional fractional in time diffusion equation
Filomat, 2017 An additive finite-difference scheme for numerical approximation of initial-boundary value problem for two-dimensional fractional in time diffusion equation is proposed. Its stability is investigated and a convergence rate estimate is obtained.
Hodžić-Živanović, Sandra +1 more
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, 2019 In this paper, we establish Hyers–Ulam–Rassias stability results belonging to two different set valued functional equations in several variables, namely additive and cubic. The results are obtained in the contexts of Banach spaces.
Binayak S. Choudhury +4 more
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