A Functional Equation with Biadditive Functions

A functional equation with two unknown functions

A Functional Equation of Aczél and Chung in Generalized Functions

Jae-Young Chung Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea Correspondence should be addressed to Jae-Young Chung, [email protected] Received 1 October 2008; Revised 22 December 2008; Accepted 25 December 2008 Recommended by Patricia J. Y. Wong We consider an n-dimensional version of the functional equations of Aczél and Chung in the spaces of generaliz...

Equation with residuated functions

The structure of solution-sets for the equation F (x) = G(y) is discussed, where F, G are given residuated functions mapping between partially-ordered sets. An algorithm is proposed which produces a solution in the event of finite termination: this solution is maximal relative to initial trial values of x, y. Properties are defined which are sufficient for finite termination. The particular cas...

Infinitely many solutions for a bi-nonlocal‎ ‎equation with sign-changing weight functions

In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.

Differential transformation method for solving a neutral functional-differential equation with proportional delays

In this article differential transformation method (DTMs) has been used to solve neutral functional-differential equations with proportional delays. The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. Exact solutions can also be obtained from the kno...