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- W2900617822 abstract "Given a set $$Tsubset (0, +infty )$$ , a function $$c:Trightarrow mathbb R$$ and a real number p we study continuous solutions $$varphi $$ of the simultaneous equations $$begin{aligned} varphi (tx)=varphi (x)+c(t)x^p, qquad t in T. end{aligned}$$ Here $$varphi $$ is defined on an interval $$Isubset (0, +infty )$$ , so the equations are postulated on a restricted domain: for any fixed $$t in T$$ we assume that $$x in I$$ is such that $$tx in I$$ . In the case when T is large in a sense, we determine the form of $$varphi $$ on a non-trivial subinterval of I. The research is a continuation of that of “non-restricted”, where $$I=(0,+infty )$$ , made in Jarczyk (Ann Univ Sci Budapest Sect Comp 40:353–362, 2013)." @default.
- W2900617822 created "2018-11-29" @default.
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- W2900617822 date "2018-11-17" @default.
- W2900617822 modified "2023-10-08" @default.
- W2900617822 title "Simultaneous difference equations on a restricted domain" @default.
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- W2900617822 doi "https://doi.org/10.1007/s00010-018-0616-x" @default.
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