Mixed type of additive and quintic functional equations
Journal Title: Annales Mathematicae Silesianae - Year 2015, Vol 29, Issue
Abstract
In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form $$f(3x + y) - 5f(2x + y) + f(2x - y) + 10f(x + y) - 5f(x - y) = 10f(y) + 4f(2x) - 8f(x)$$ in the set of real numbers.
Authors and Affiliations
Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi, Behrouz Shojaee
Mixed type of additive and quintic functional equations
In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form $$f(3x + y) - 5f(2x + y) + f(2x - y) + 10f(x + y) - 5f(x - y...
Mathematical challenges in the theory of chemotaxis
We consider the simplest parabolic-elliptic model of chemotaxisin the whole space and in several space dimensions. Criteria either for theexistence of radial global-in-time solutions or their blowup in terms of suitable...
Universally Kuratowski–Ulam spaces and open-open games
We examine the class of spaces in which the second player has a winning strategy in the open-open game. We show that this spaces are not universally Kuratowski–Ulam. We also show that the games $G$ and $G_7$ introduced b...
An infinite natural product
We study a countably infinite iteration of the natural product between ordinals. We present an “effective” way to compute this countable natural product; in the non trivial cases the result depends only on the natural su...
Some problems in the Calculus of Variations
We present some results and open problems in the Calculus of Variations.