Results 11 to 20 of about 156 (59)
Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
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A class of functional equations associated with almost periodic functions [PDF]
, 2021 In this paper we will get a class of functional equations involving a countable set of terms, summed by the well known Bochner–Fejér summation procedure, which are closely associated with the set of almost periodic functions.
Sepulcre, Juan Matias, Vidal, Tomás
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Alienation of Drygas’ and Cauchy’s Functional Equations
Annales Mathematicae Silesianae, 2021 Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g ...
Aissi Youssef +2 more
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Meromorphic solutions of certain nonlinear difference equations
Open Mathematics, 2020 This paper focuses on finite-order meromorphic solutions of nonlinear difference equation fn(z)+q(z)eQ(z)Δcf(z)=p(z){f}^{n}(z)+q(z){e}^{Q(z)}{\text{Δ}}_{c}f(z)=p(z), where p,q,Qp,q,Q are polynomials, n≥2n\ge 2 is an integer, and Δcf{\text{Δ}
Liu Huifang, Mao Zhiqiang, Zheng Dan
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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
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On Cauchy‐type functional equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 16, Page 847-859, 2004., 2004 Let G be a Hausdorff topological locally compact group. Let M(G) denote the Banach algebra of all complex and bounded measures on G. For all integers n ≥ 1 and all μ ∈ M(G), we consider the functional equations ∫Gf(xty)dμ(t)=∑i=1ngi(x)hi(y), x, y ∈ G, where the functions f, {gi}, {hi}: G → ℂ to be determined are bounded and continuous functions on G ...
Elqorachi Elhoucien, Mohamed Akkouchi
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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
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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.
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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)
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