Results 11 to 20 of about 4,958,079 (306)
Functional tetrahedron equation [PDF]
Theoretical and Mathematical Physics, 1998 We describe a method for constructing classical integrable models in a (2 + 1)-dimensional discrete space-time based on the functional tetrahedron equation, an equation that makes the symmetries of a model obvious in a local form.
Korepanov, I. G. +2 more
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Asymptotic behaviour of the solution of a functional-differential equation [PDF]
, 1984 The asymptotic behaviour as t→∞ of the solution of the functional- differential equation y'(t) = -y(t/k), with y(0) = 1 and k > 1 , is derived from an integral representation by the method of steepest descents.
Tripp, CE
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On a General Functional Equation
SymmetryIn this paper, we deal with a general functional equation in several variables. We prove the hyperstability of this equation in (m + 1)-normed spaces and describe its general solution in some special cases.
Anna Bahyrycz
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On a Functional Integral Equation [PDF]
Symmetry, 2021 In this paper, we establish some results for a Volterra–Hammerstein integral equation with modified arguments: existence and uniqueness, integral inequalities, monotony and Ulam-Hyers-Rassias stability. We emphasize that many problems from the domain of symmetry are modeled by differential and integral equations and those are approached in the ...
Daniela Marian +2 more
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ON A FUNCTIONAL EQUATION [PDF]
The Quarterly Journal of Mathematics, 1958 We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2). The problem is to obtain the most general function f(x) which, for all positive integral values of m, n ...
Chaundy, T. W., McLeod, J. B.
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On a Functional Equation [PDF]
Canadian Mathematical Bulletin, 1979 Let P stand for a polynomial set (p.s.), i.e., a sequence {P0(x), P1(x), P2(x),...} such that for each n P0(x) is a polynomial in x of exact degree n and P0(x)≠0. We refer to Pn(x) as the nth component of P.
Al-Salam, Nadhla A., Al-Salam, Waleed A.
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On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]
, 2010 This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
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A Functional Equation with Biadditive Functions
Annales Mathematicae Silesianae, 2022 Abstract Let S , H , X be groups. For two given biadditive functions A : S 2 →
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On a “square” functional equation [PDF]
Pacific Journal of Mathematics, 1974 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Cauchy’s functional equation [PDF]
Proceedings of the American Mathematical Society, 1965 for real-valued functions of a real variable. P. Erdos [2] asked, after learning about a preliminary result of S. Hartman [3], whether one obtains all functions satisfying (C) for almost all pairs (x, y) by simply redefining the functions satisfying (C) for all (x, y) in an arbitrary manner on sets of measure zero.
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