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31.396  Articles
1 of 3.141 pages  |  10  records  |  more records»
Using fixed point method, we prove the Hyers-Ulam stability of the following quadratic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + 2f(2y) - 8f(y) in fuzzy Banach spaces

In this paper, we investigate the stability problem in the spirit of Hyers-Ulam, Rassias and Gavruta for the quadratic functional equation: f(2x + y) + f(2x - y) = 2f(x + y) + 2f(x - y) + 4f(x) - 2f(y) in 2-Banach spaces. These results extend the generali... see more

In this paper, we prove the generalized Hyers-Ulam stability of a general k-quadratic Euler-Lagrange functional equation:for any fixed positive integer in intuitionistic fuzzy normed spaces using a fixed point method.

The present work is about the stability of a Pexiderised quadratic functional equation. The study is in the framework of intuitionistic fuzzy Banach spaces. The approach is through a fixed point method. The stability studied is Hyers-Ulam-Rassias stabilit... see more

The solutions of the Schrödinger equation are obtained with an inversely quadratic Yukawa potential using the Nikiforov-Uvarov-Functional-analysis method. The energy spectrum and wave function were obtained in closed form. The energy equation was used to ... see more

Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let s be an involutive automorphism of S. We express the solutions f : S ? H of the following variant of the quadratic functional equationf(xy) + f(s(y)x) = 2f(x) + 2f(y), ... see more

We determine the solutions f : S ? H of the generalized Jensen’s functional equationf (x + y) + f (x + f(y)) = 2f (x),    x,y ? S,and the solutions f : S ? H of the generalized quadratic functional equationf (x + y) + f (x + f(y)) = 2f (x) ... see more

We determine the Solutions f : S ? H of the generalized Jensen’s functional equationf( x + s(y)) + f( x + t(y)) = 2f(x), x , y? Sand the solutions f : S ? H of the generalized quadratic functional equationf ( x + s(y)) + f (x + t(y)) = 2f (x) + 2f (y), &n... see more

A GENERALIZATION OF D’ALEMBERT, JENSEN AND QUADRATIC FUNCTIONAL EQUATIONS ON SEMIGROUPS

1 of 3.141 pages  |  10  records  |  more records»