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30.645  Articles
1 of 3.065 pages  |  10  records  |  more records»
In this article, we established new travelling wave solutions for the loaded Benjamin-Bona-Mahony and the loaded modified Benjamin-Bona-Mahony equation by the functional variable method. The performance of this method is reliable and effective and gives t... see more

Sufficient conditions for the existence of solutions of the periodic and anti-periodic boundary value problems for nonlinear functional difference equations are established, respectively.

Sucient conditions are obtained for the instability of the zero solutionof a certain sixth order nonlinear functional dierential equation by the Lyapunov-Krasovskii functional approach. DOI : http://dx.doi.org/10.22342/jims.17.2.7.123-128

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

In [13] H. Stetkær obtained the complex valued solutions of the functional equationf(xyz0)f(xy-1z0) = f(x)2 - f(y)2, x, y ? G,where G is a topological group and z0 ? Z(G) (the center of G). Our main goal is first to remove this restriction and second... see more

Let G be a locally compact Hausdorff group, let s be a continuous involutive automorphism on G, and let µ, ? be regular, compactly supported, complex-valued Borel measures on G. We find the continuous solutions f : G ? C of the functional equationin terms... see more

Let S be a monoid, C be the set of complex numbers, and let s,t ? Antihom(S,S) satisfy t ? t =s ? s= id. The aim of this paper is to describe the solution ?,g: S ? C of the functional equation?(xs(y)) + ?(t(y)x) = 2f(x)g(y), x, y ? S,in terms of multiplic... see more

In the present paper we characterize, in terms of characters, multi- plicative functions, the continuous solutions of some functional equa- tions for mappings de?ned on a monoid and taking their values in a complex Hilbert space with the Hadamard product.... see more

In this paper, we present the hyperstability results of cubic functional equations in ultrametric Banach spaces.

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