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Algorithmic derivation of functional renormalization group equations and Dyson–Schwinger equations
Computer Physics Communications, 2012 We present the Mathematica application DoFun which allows to derive Dyson-Schwinger equations and renormalization group flow equations for n-point functions in a simple manner.
Markus Q Huber
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Functional differential equations [PDF]
Functional class of differential-difference, retard differential, and difference ...
Hale, J. K.
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Mathematics, 2023 Cauchy problems are considered for families of, generally speaking, non-Volterra functional differential equations of the second order. For each family considered, in terms of the parameters of this family, necessary and sufficient conditions for the ...
Eugene Bravyi
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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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Full Hermite Interpolation and Approximation in Topological Fields
Mathematics, 2022 By using generalized divided differences, we study the simultaneous interpolation of an m times continuously differentiable function and its derivatives up to a fixed order in a topological field K.
Leonard Dăuş +2 more
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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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Фізико-математична освіта, 2023 Formulation of the problem. Analysis of the issue of including the topic "The simplest functional equations" in the model curricula for studying the subject "Algebra and the beginnings of analysis" for specialized classes with in-depth study of ...
Тетяна Бохонова +6 more
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Stability of Deeba and Drygas functional equations in non-Archimedean spaces [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we use new techniques to prove Hyers-Ulam and Hyers-Ulam-Rasiass stability of Deeba, Drygas and logarithmic functional equations in non-Archimedean normed spaces.
Davood Khatibi Aghda +1 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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Note on oscillation conditions for first-order delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider explicit conditions for all solutions to linear scalar differential equations with several variable delays to be oscillatory. The considered conditions have the form of inequalities bounding the upper limit of the sum of integrals of ...
Kirill Chudinov
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