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The following pages link to Invertibility conditions for the nonlinear difference operator \((\mathcal{D}x)(n) = x(n + 1) - f(x(n))\) in the space \(\ell_{\infty}(\mathbb Z, \mathbb R)\) (Q1949366):
Displaying 8 items.
- Invertibility of the nonlinear operator \((\mathcal Lx)(t)=H\left(x(t),\frac{dx(t)}{dt}\right)\) in the space of functions bounded on the axis (Q386521) (← links)
- Necessary and sufficient conditions of reversibility of nonlinear difference operators in the space \(\ell_{\infty}(\mathbb Z, R)\) (Q1605557) (← links)
- Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator (Q1683308) (← links)
- Fixed-point theorems and difference equations with nonempty set of bounded solutions (Q2313738) (← links)
- Necessary and sufficient conditions for the invertibility of the nonlinear difference operator \(({\mathcal D}x)(t)= x(t+1)- f(x(t))\) in the space of bounded continuous functions on the real axis (Q2759310) (← links)
- Conditions for the invertibility of the nonlinear difference operator $ (\mathscr Rx)(n)=H(x(n),x(n+1))$, $ n\in\mathbb Z$, in the space of bounded number sequences (Q3630568) (← links)
- (Q4455700) (← links)
- Necessary and sufficient conditions for the Lipschitzian invertibility of nonlinear difference operators in the spaces \(\ell_p (\mathbb{Z},\mathbb{R})\) with \(1\leq p\leq\infty\) (Q5942001) (← links)