Results 241 to 250 of about 64,166 (264)

A Qualitative Study of Lobachevsky’s Complex Functional Equation

2000
The purpose of this paper is to solve Lobachevsky’s functional equation for the complex function in the complex domain and to establish the connections of this equation with some classical functional equations in the same case. Using only the boundednes property on the disk D(0;r), we deduce the continuity, differentiability property.
openaire   +1 more source

Factorization of Complex Analytic Functions Algebraically Dependent on Space Curves and Applications to Compatible Functional and Differential Equations

Mediterranean Journal of Mathematics, 2022
Elias Saleeby
exaly  

Functional equations, alternating expansions, and generalizations of the Salem functions

Aequationes Mathematicae, 2023
Serbenyuk Symon
exaly  

Results on entire and meromorphic solutions for several systems of quadratic trinomial functional equations with two complex variables

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
Hong Yan Xu, Xu Hong Yan
exaly  

Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations

Journal of Mathematical Analysis and Applications, 2007
Ivanka Stamova
exaly  

Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions

Fixed Point Theory and Applications, 2013
Yilmaz Simsek
exaly  

Solving iterative functional equations for a class of piecewise linearK∞-functions

Journal of Mathematical Analysis and Applications, 2014
Fabian Wirth
exaly  

STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES

Using fixed point technique, in the present paper , we wish to examine generalization of the Hyers-Ulam-Rassias stability theorem for the functional equations f 2 x + i y + f x + 2 i y = 4 f x + i y + f x + f y 0.1 and f 2 x + i y − f i x − 2 y = − 4 f i x − y + f x − f − y 0.2 in complex Banach spaces .
MONDAL, Pratap, SAMANTA, T. K.
openaire   +1 more source

Construction space harmonic functions in polynomial form and spherical functions by complex-functional

Applied Mathematics and Mechanics (English Edition), 1997
Qishen Wang
exaly  

A Differential-Functional Equation; The Complex Case

Mathematics Magazine, 1970
openaire   +1 more source