Results 11 to 20 of about 1,105,937 (292)
Non-symmetry and symmetry of syzygies of a system of Cauchy functional equations with a homomorphism
Mathematics Open, 2022 Two entirely different Cauchy functional equations have been investigated in the literature with a couple of unknown operators f and g mapping a unitary ring X into a domain of integrity Y satisfying the elimination law and keeping the operations of ...
Dongwen Zhang +3 more
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WDVV Equations as Functional Relations [PDF]
, 2002 We discuss the associativity or WDVV equations and demonstrate that they can be rewritten as certain functional relations between the {\it second} derivatives of a single function, similar to the dispersionless Hirota equations.
A. Marshakov +17 more
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On oscillation of solutions of differential equations with distributed delay
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We obtain sufficient conditions for oscillation of solutions to a linear differential equation with distributed delay. We construct examples showing that constants in the conditions are unimprovable.
Vera Malygina, Tatyana Sabatulina
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Professor Dan Petrovanu – Mathematician and Man of Culture – Seen through the Eyes of a Former Student [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2023 A discrete recall, 35 years after his too early passing away, on the complex personality of the reputed mathematician and eminescologist, Dan Petrovanu, professor at the Faculty of Mathematics, “Alexandru Ioan Cuza” University of Iași, seen through the ...
Theodor Havârneanu
doaj
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 → X, B : H 2 → X and for two unknown mappings T : S → H, g : S → S we will study the functional equation B(T (x), T (y)) = A(x, g(y)), x, y ∈ S, which is a ...
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 We present necessary and sufficient conditions for the nonoscillation of the fundamental solutions to a linear autonomous differential equation with distributed delay. The conditions are proposed in both the analytic and geometric forms.
Tatyana Sabatulina, Vera Malygina
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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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The Stability of Functional Equations with a New Direct Method
Mathematics, 2022 We investigate the Hyers–Ulam stability of an equation involving a single variable of the form ∥f(x)−αf(kn(x))−βf(kn+1(x))∥⩽u(x) where f is an unknown operator from a nonempty set X into a Banach space Y, and it preserves the addition operation, besides ...
Dongwen Zhang +3 more
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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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About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives
International Journal of Differential Equations, 2016 An existence and uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated ...
Kishin B. Sadarangani +1 more
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