Results 71 to 80 of about 4,267,250 (176)
Stability of a Cauchy-Jensen Functional Equation in Quasi-Banach Spaces
Journal of Inequalities and Applications, 2010 We obtain the generalized Hyers-Ulam stability of the Cauchy-Jensen functional equation .
Park Won-Gil, Bae Jae-Hyeong
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A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation
, 2020 We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Won-Gil Park, Jae-Hyeong Bae
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Fixed Point Theory and Applications, 2011 We prove the generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation in non-Archimedean spaces.
Cho YeolJe, Najati Abbas
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On a functional equation related to the Cauchy equation [PDF]
Annales Polonici Mathematici, 1974 Kannappan, Pl., Kuczma, M.
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On the Hyers-Ulam-Rassias Stability of the Cauchy Linear Functional Equation
, 2015 [[abstract]]In this paper, we obtain the general solution and we provide a proof of the functional stability in the spirit of Hyers-Ulam, Th. M. Rassias and P. Gˇavruta for the Cauchy linear functional equation f(x + y + a) = f(x) + f(y), where f : E1 −!
Belaid, Bouikhalene +1 more
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Cauchy singular integral equation method for transient antiplane dynamic problems
, 1996 In this paper, by use of the boundary integral equation method and the techniques of Green basic solution and singularity analysis, the dynamic problem of antiplane is investigated. The problem is reduced to solving a Cauchy singular integral equation in
陈卫江, Tang RJ
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Stability of Cauchy additive functional equation in fuzzy Banach spaces [PDF]
, 2013 In this article, we prove the generalized Hyers-Ulam stability of the following Cauchy additive functional equation in fuzzy Banach spaces for any fixed nonzero integer n
Hark-Mahn Kim +2 more
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Cauchy Functions for Dynamic Equations on a Measure Chain
Journal of Mathematical Analysis and Applications, 2002 A time scale is any nonempty closed subset of \({\mathbb R}\). The time scales calculus unifies and extends the usual differential (\({\mathbb T}={\mathbb R}\)) and difference (\({\mathbb T}={\mathbb Z}\)) calculus. This paper studies the Cauchy function for an \(n\)th order linear dynamic equation on such a time scale.
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On the inhomogeneous Cauchy functional equation.
, 1981 In this note we solve the inhomogeneous Cauchy functional equation f(x+y) - f(x) - f(y) = d(x,y), x,y belonging to R, in the case where d is ...
Forti, Gian-Luigi, Fenyö, István
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Functional differential equations of the cauchy-kowalevsky type
Aequationes Mathematicae, 1985 Hintergrund dieser Untersuchungen sind z.B. partielle Differentialgleichungssysteme \[ u_ t(t,z)=c(t,z,u(t-h_ 1,z)...)+\sum^{n}_{i=1}B_ i(t,z,u(t-h^ i_ 1,z\quad),...)u_{z_ i}(t-h'\!_ i,z) \] mit Verschiebungen in t. Anfangswerte werden daher nicht nur längs \(t=0\), \(z\in \Omega c{\mathbb{C}}^ n\), sondern in \(G_ 0:=[-r,0]\times \Omega\) (r\(\geq 0)\)
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