Results 21 to 30 of about 4,563,831 (252)
On Stability of the Cauchy Functional Equation in Groupoids [PDF]
Annales Mathematicae Silesianae, 2017 Abstract We give some stability results for the functional equation a(xy) = a(x) + a(y), where a: G → E, G being a groupoid and E a Banach space.
Toborg, Imke, Volkmann, Peter
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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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Cauchy–Jost function and hierarchy of integrable equations [PDF]
Theoretical and Mathematical Physics, 2015 Properties of the Cauchy--Jost (known also as Cauchy--Baker--Akhiezer) function of the KPII equation are described. By means of the $\bar\partial$-problem for this function it is shown that all equations of the KPII hierarchy are given in a compact and explicit form, including equations on the Cauchy--Jost function itself, time evolutions of the Jost ...
Boiti, M. +2 more
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Justification of the Cauchy-Born approximation of elastodynamics [PDF]
, 2013 We present sharp convergence results for the Cauchy-Born approximation of general classical atomistic interactions, for static problems with small data and for dynamic problems on a macroscopic time ...
Ortner, Christoph, Theil, Florian
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On Cauchy‐type functional equations
International Journal of Mathematics and Mathematical Sciences, 2004 Let G be a Hausdorff topological locally compact group. Let M(G) denote the Banach algebra of all complex and bounded measures on G. For all integers n ≥ 1 and all μ ∈ M(G), we consider the functional equations , x, y ∈ G, where the functions f, {gi}, {hi}: G → ℂ to be determined are bounded and continuous functions on G.
Elqorachi Elhoucien, Mohamed Akkouchi
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A uniqueness result for the continuity equation in two dimensions [PDF]
, 2014 We characterize the autonomous, divergence-free vector fields $b$ on the plane such that the Cauchy problem for the continuity equation $\partial_t u + div(bu) = 0$ admits a unique bounded solution (in the weak sense) for every bounded initial datum; the
Crippa, Gianluca +6 more
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Some Results Related to the Cauchy-Bunyakovsky-Schwarz Inequality [PDF]
, 2007 Some refinements and reverses of the Cauchy-Bunyakovsky-Schwarz inequality for the Lebesgue integral in measurable spaces are given.
Dragomir, Sever S, Barnett, Neil S
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On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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Hyperstability of Cauchy–Jensen functional equations
Indagationes Mathematicae, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EL-Fassi, Iz-iddine +2 more
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Stability of the Exponential Functional Equation in Riesz Algebras
Abstract and Applied Analysis, 2014 We deal with the stability of the exponential Cauchy functional equation F(x+y)=F(x)F(y) in the class of functions F:G→L mapping a group (G, +) into a Riesz algebra L. The main aim of this paper is to prove that the exponential Cauchy functional equation
Bogdan Batko
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