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In this paper we show that if the Nemytskii operator maps the $$(\phi ,2,\alpha )$$ -bounded variation space into itself and satisfies some Lipschitz condition, then there are two functions… Click to show full abstract
In this paper we show that if the Nemytskii operator maps the $$(\phi ,2,\alpha )$$ -bounded variation space into itself and satisfies some Lipschitz condition, then there are two functions g and h belonging to the $$(\phi ,2,\alpha )$$ -bounded variation space such that $$f(t,y)=g(t)y+h(t)$$ for all $$t\in [a,b]$$ , $$y\in {\mathbb {R}}$$ .
Keywords:
bounded variation;
variation space;
alpha bounded;
phi alpha
Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2020
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Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!