Results 61 to 70 of about 235,185 (162)
Riemann Stieltjes Integration [PDF]
, 2011 Provided in this thesis is the definition of Riemann Stieltjes Integration and properties of this integral. The Riemann Stieltjes Integral is compared with the Riemann Integral.
McFadden, Colleen
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 7, July 2024.Abstract We consider a rate‐independent system with nonconvex energy under discontinuous external loading. The underlying space is finite‐dimensional and the loads are functions in BV([0,T];Rd)$BV([0,T];\mathbb {R}^d)$. We investigate the stability of various solution concepts w.r.t.
Merlin Andreia, Christian Meyer
wiley +1 more source
Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with multistrip Riemann–Stieltjes integral boundary conditions.
Tongling Lv, Huihui Pang, Limei Cao
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 5, Page 3582-3595, 30 March 2024.We propose an Adomian decomposition method to solve a class of nonlinear differential equations of fractional‐order with modified Caputo derivatives and integral boundary conditions. Our approach uses the integral boundary conditions to derive an equivalent nonlinear Volterra integral equation before establishing existence and uniqueness of solution ...
Om Kalthoum Wanassi +2 more
wiley +1 more source
Aturan Titik Tengah \textit{Double} untuk Mengaproksimasi Integral Riemann-Stieltjes
Jurnal Matematika Integratif, 2023 Aturan titik tengah double dimodifikasi untuk mengaproksimasi integral RiemannStieltjes. Koefisien dari metode ini didapat dengan menyelesaikannya sistem persamaan nonlinear yang didapat dari penerapan fungsi monomial sampai pangkat tertentu. Selanjutnya
Rike Marjulisa, Imran M
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Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]
, 2008 Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core
Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations
, 2011 Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
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Mathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
wiley +1 more source
Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions
Nonlinear Analysis, 2020 In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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Completion of the integrable coupling systems [PDF]
arXiv, 2017 In this paper, we proposed an procedure to construct the completion of the integrable system by adding a perturbation to the generalized matrix problem, which can be used to continuous integrable couplings, discrete integrable couplings and super integrable couplings.
arxiv