Showing papers by "Prasanna K. Sahoo published in 2014"
TL;DR: In this paper, the general solutions of Wilson's generalizations of d'Alembert's functional equations on non-unital commutative semigroups and on more general domains were determined.
Abstract: Let S be a nonunital commutative semigroup, an involution, and the set of complex numbers. In this paper, first we determine the general solutions of Wilson’s generalizations of d’Alembert’s functional equations and on nonunital commutative semigroups, and then using the solutions of these equations we solve a number of other functional equations on more general domains.
6 citations
07 Sep 2014
TL;DR: In this article, the Hyers-Ulam stability of a simple Levi-Civita functional equation and its pexiderization on non-unital commutative semigroups was studied.
Abstract: In this paper, we study the Hyers–Ulam stability of a simple Levi–Civita functional equation f(x+y)=f(x)h(y)+f(y) and its pexiderization f(x+y)= g(x) h(y)+k(y) on non-unital commutative semigroups by investigating the functional inequalities |f(x+y)−f(x)h(y)−f(y)|≤𝜖 and |f(x+y)−g(x)h(y)−k(y)|≤𝜖, respectively. We also study the bounded solutions of the simple Levi–Civita functional inequality.
1 citations