Results 221 to 225 of about 6,391 (225)

On Hyers--Ulam stability of Wilson's functional equation

Aequationes Mathematicae, 2000
The paper investigates the stability problem for spherical functions in the Hyers-Ulam sense. Let \((G,+)\) be a topological abelian group and let \(K\) be a compact subgroup of automorphisms of G with the normalized Haar measure \(\mu\). Further, let the map \[ k\mapsto ky\in G,\qquad k\in K , \] where \(ky\) stands for the action of \(k\in K\) on \(y\
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Hyers–Ulam stability of impulsive integral equations

Bollettino dell'Unione Matematica Italiana, 2018
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Zada, Akbar, Riaz, Usman, Khan, Farhan Ullah   +2 more
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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 stability of isometries on Banach spaces

Aequationes Mathematicae, 1999
The paper is a brief survey on the stability of isometries on real Banach spaces. An \(\varepsilon\)-isometry between two Banach spaces \(X,Y\) is a map \( f:X\to Y \) satisfying \( |\|f(x)-f(y)\|- \|x-y\||\leq \varepsilon, \forall x,y\in X.\) For an isometry \(U:X\to Y \) let dist\((f,U)=\inf\{\|f(x)-U(x)\|:x\in X\}.\) The paper is concerned with the ...
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On Hyers-Ulam and Hyers-Ulam-Rassias stability of fractional systems with distributed delays

AIP Conference Proceedings
Ekaterina Madamlieva, Mirko Tarulli, George Venkov   +2 more
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