Results 91 to 100 of about 111 (111)

The Hyers–Ulam–Rassias stability of the pexiderized equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Park, Dal-Won, Lee, Yang-Hi
openaire   +2 more sources

HYERS–ULAM–RASSIAS STABILITY FOR NONAUTONOMOUS DYNAMICS

Rocky Mountain Journal of Mathematics
The authors study semilinear equations \begin{align*} x'&=A(t)x+f(t,x),\\ x_{n+1}&=A_nx_n+f_n(x_n) \end{align*} on the nonnegative half-line in a Banach space \(X\). Provided the linear part is uniformly exponentially stable, Hyers-Ulam-Rassias stability is established, if the (uniform) Lipschitz constant of the nonlinearity is small.
Dragičević, Davor   +1 more
openaire   +3 more sources

Hyers–Ulam–Rassias Stability on Amenable Groups

2016
In this chapter, we study the Ulam–Hyers–Rassias stability of the generalized cosine-sine functional equation: $$\displaystyle{\int _{K}\int _{G}f(xtk \cdot y)d\mu (t)dk = f(x)g(\,y) + h(\,y),\;x,y \in G,}$$ where f, g, and h are continuous complex valued functions on a locally compact group G, K is a compact subgroup of morphisms of G, dk is ...
Mohamed Akkouchi   +2 more
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Hyers–Ulam–Rassias Stability of Derivations in Proper JCQ*–triples

Mediterranean Journal of Mathematics, 2013
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Eskandani, Golamreza Zamani   +1 more
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HYERS-ULAM-RASSIAS STABILITY OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATION

jnanabha
In this paper, we prove the Hyers-Ulam-Rassias stability of the second order partial differential equation of the type r(x, t)utt(x, t) + p(x, t)uxt(x, t) + q(x, t)ut(x, t) + pt(x, t)ux(x, t) − px(x, t)ut(x, t) = g(x, t, u(x, t)).
Sonalkar, V. P.   +2 more
openaire   +1 more source

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