Results 11 to 20 of about 151 (45)

Vibration of Clamped Visco‐Elastic Rectangular Plate with Parabolic Thickness Variations

Shock and Vibration, Volume 15, Issue 6, Page 713-723, 2008., 2008
Most of the machines and engineering structures experience vibration and their design generally requires consideration for their dynamic behavior. Due to this, the study of vibration, as it deals with the vibratory behavior of bodies, is acquiring increasingly importance in several engineering applications, nuclear reactor technology and aeronautical ...
A.K. Gupta, Anupam Khanna
wiley   +1 more source

Sums of an entire function in certain weighted L2-spaces [PDF]

, 2003
We consider the functional equation f(z+σ)−f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions.
Brive, Bruno
core   +2 more sources

Matrix method for solving linear complex vector functional equations

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 4, Page 217-238, 2002., 2002
We give a new matrix method for solving both homogeneous and nonhomogeneous linear complex vector functional equations with constant complex coefficients.
Ice B. Risteski
wiley   +1 more source

A New Class of Quasicyclic Complex Vector Functional Equations [PDF]

, 2008
For the first time in the literature a quasicyclic complex vector functional equation is introduced in the present paper. By a matrix method the general quasicyclic complex vector functional equation is solved, as well as its particular case for n = 3 ...
Risteski, Ice B.
core   +1 more source

The Beckman-Quarles theorem for continuous mappings from C^n to C^n

, 2006
Let varphi_n:C^n times C^n->C, varphi_n((x_1,...,x_n),(y_1,...,y_n))=sum_{i=1}^n (x_i-y_i)^2. We say that f:C^n->C^n preserves distance d>=0, if for each X,Y in C^n varphi_n(X,Y)=d^2 implies varphi_n(f(X),f(Y))=d^2. We prove: if n>=2 and a continuous f:C^
Tyszka, Apoloniusz
core   +1 more source

Existence of entire solutions of nonlinear difference equations [PDF]

, 2011
summary:In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different ...
Liu, Kai, Liu, Xinling, Yang, Lianzhong
core   +1 more source

Transcendental holomorphic maps between real algebraic manifolds in a complex space

, 2019
We give an example of a real algebraic manifold embedded in a complex space that does not satisfy the Nash-Artin approximation Property. This Nash-Artin approximation Property is closely related to the problem of determining when the biholomorphic ...
Rond, Guillaume
core   +2 more sources

New Characterization of Appell polynomials

, 2016
We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples.
Bayad, Abdelmejid, Komatsu, Takao
core   +1 more source

A Levi–Civita equation on monoids, two ways [PDF]

, 2022
We consider the Levi–Civita equationf(xy) = g1(x)h1(y) + g2(x)h2(y)for unknown functions f, g1, g2, h1, h2 : S→ℂ, where S is a monoid. This functional equation contains as special cases many familiar functional equations, including the sine and cosine ...
Ebanks, Bruce
core   +1 more source

The correlation between the convergence of subdivision processes and solvability of refinement equations. [PDF]

, 2001
We consider a univariate two-scale difference equation, which is studied in approximation theory, curve design and wavelets theory. This paper analysis the correlation between the existence of smooth compactly supported solutions of this equation and the
Protassov, V. (Vladimir)
core   +6 more sources