Results 151 to 160 of about 1,857 (182)

Deep neural networks and stochastic methods for cognitive modeling of rat behavioral dynamics in T -mazes. [PDF]

Cogn Neurodyn
Turab A, Nescolarde-Selva JA, Ullah F, Montoyo A, Alfiniyah C, Sintunavarat W, Rizk D, Zaidi SA.   +7 more
europepmc   +1 more source

Hyers-Ulam stability of monomial functional equations on a general domain. [PDF]

Proc Natl Acad Sci U S A, 1999
Gilányi A.
europepmc   +1 more source

Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators. [PDF]

Heliyon
Rasham T, Panda SK, Basendwah GA, Hussain A.   +3 more
europepmc   +1 more source

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The Hyers–Ulam–Rassias stability of the pexiderized equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Dal-Won, Lee, Yang-Hi
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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, Jurčević Peček, Nevena   +1 more
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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, Elhoucien Elqorachi, Khalil Sammad   +2 more
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Hyers–Ulam–Rassias Stability of Derivations in Proper JCQ*–triples

Mediterranean Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eskandani, Golamreza Zamani, Rassias, Themistocles M.   +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., Mohapatra, A. N., Valaulikar, Y. S.   +2 more
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On Hyers-Ulam-Rassias stability of functional equations

Acta Mathematica Sinica, English Series, 2008
Let \(G_1\) and \(G_2\) be two groups. We say that \(f, g, h, p, q :G_1\to G_2\) are the pseudo-additive mappings of the mixed quadratic and Pexider type in \(G_1\) if \[ f(x+y+z)+g(x+y)-h(x)-p(y)-q(z)=0 \] for all \(x, y, z \in G_1.\) In this paper the author investigates the Hyers-Ulam-Rassias stability of the functional equation above.
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