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Currently displaying 1 – 2 of 2

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On a class of fourth-order nonlinear difference equations.

Migda, Małgorzata; Musielak, Anna; Schmeidel, Ewa — 2004

Advances in Difference Equations [electronic only]

On Cauchy Conservative Families of Nonlinear Integral Operators

Anna Musielak — 2005

Commentationes Mathematicae

Let $T_{1}, T_{2}$ be nonlinear integral operators of the form (2). There is estimated the expression $ρ [α (T_{1} f - T_{2} g)]$ , where $ρ$ is a modular on the space $L^{0} (Ω)$ . This is applied in order to obtain a theorem concerning modular conservativity of a family $T = {(T_{w})}_{w \in W}$ of operators $T$ w of the form (2).

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