On the solutions of a class of iterated generalized Bers-Vekua equations in Cliﬀord analysis P. Berglez Department of Mathematics, Graz University of Technology, A ... - read more

On Nonlinear Vekua Type Equations in the class of generalized analytic functions, i.e. those satisfying inhomogeneous differential equation Lw= ∂zw+A(z)w+B(z)w= F(z ... - read more

The Vekua equation generalizes the Cauchy-Riemann diﬀerential equations on the one hand and the concept of complex diﬀerentiability on the other. Moreover ... read more

Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis. A survey of recent results in the area is presented. ... read more

In this paper, we mainly study polynomial generalized Vekua-type equation $${p(\mathcal{D})w=0}$$ and polynomial generalized Bers–Vekua equation $${p(\mathcal ... ... read more

Complex Anal. Oper. Theory (2012) 6:407–424 DOI 10.1007/s11785-011-0131-8 Complex Analysis and Operator Theory Solutions to Polynomial Generalized Bers–Vekua ... ... read more

Keywords: Vekua equation, operational derivative, operational integral, generalized ... The classical Lagrange method for variation of constants in the general ... read more

Discrete Vekua equations with constant coefﬁcients in the complex and quaternionic case K. Gurleb¨ eck A. Hommel Abstract A discrete version of complex Vekua type ... ... read more

ON THE THEORY OF THE CARLEMAN-VEKUA EQUATION WITH A SINGULAR POINT View the table of contents for this issue, or go to the journal homepage for more ... read more

On continuous solutions of the Carleman–Vekua equation with a singular point N.K. Bliev 2014 Complex Variables and Elliptic Equations 1 ... read more

Finite Integrability of a System of Vekua’s Equations 25 where Q(z) is an arbitrary analytical function. Here J is an integral operator, inverse ... read more

Official Full-Text Publication: On Nonlinear Vekua Type Equations on ResearchGate, the professional network for scientists. ... read more

So the problem is equivalent to the problem of finite integrability of a single Vekua equation (see [1]). Second case: For B = 0, we have ... read more

On explicitly solvable Vekua equations and explicit solution of the stationary Schrödinger equation and of the equation div(σ∇u)=0 ... read more

monic equation which was treated by I. N. Vekua in one of his last papers published in 1976. For the polyanalytic operator the particular Schwarz problem is solved ... read more

Vekua theory for the Helmholtz operator A.Moiola,R.HiptmairandI.Perugia Abstract. Vekua1 operators map harmonic functions deﬁned on domain in R2 to solutions of ... ... read more

Selçuk J. Appl. Math. Selçuk Journal of Vol. 8. No.2. pp. - , 2007 Applied Mathematics A Boundary Value Problem for Nonhomogeneous Vekua Equation in ... read more

We consider functions with values in the Clifford algebra Cl(p,q) which are solutions of a certain class of the iterated generalized Bers-Vekua equation D(m)w = 0 ... ... read more

In this article uncoditional solvability of the Carleman-Vekua equation with a singular point is proved, the Riemann-Hilbert problem is solved integral ... ... read more

On the Solution of Discrete Vekua Equations on ResearchGate, ... We also factorize the solution of a homogeneous Vekua type equation in the quaternionic case. ... read more

Solutions to Polynomial Generalized Bers–Vekua Equations in Clifford Analysis on ResearchGate, the professional network for scientists. ... read more

The Dirac equation with a ﬁxed energy and the Vekua equation describing pseu-doanalytic (=generalizedanalytic) functions both are ﬁrst orderelliptic systems, 1. ... read more

A Survey of I. N. Vekua's Theory of Elliptic Partial Differential Equations With Analytic Coefficients By PETER ... The Di//erential Equation Considered ... read more

For the solutions of the iterated Bers–Vekua equation we give a representation theorem using the solutions of the equation . From this result several further ... ... read more

Vekua equation) in the same sense as the system of powers (z z 0)n is complete in the space of analytic functions. To construct the pseudoanalytic formal powers the ... ... read more

On the solutions of a class of iterated generalized Bers–Vekua equations in Clifford analysis. ... are solutions of the generalized Bers–Vekua equation Dv=0. ... read more

For the Carleman-Vekua equation with the polar singularities the situation is essentially different. It is ... read more

In [8] it was shown that the transplant operator transforms solutions of one Vekua equation into solutions of another Vekua equation, related to the first via a Schr\ ... read more

Abstract In this article uncoditional solvability of the Carleman-Vekua equation with a singular point is proved, the Riemann-Hilbert problem is solved integral ... ... read more

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