Results 221 to 230 of about 71,517 (254)

Satisfiability of Systems of Equations of Real Analytic Functions Is Quasi-decidable

2011
In this paper we consider the problem of checking whether a system of equations of real analytic functions is satisfiable, that is, whether it has a solution. We prove that there is an algorithm (possibly non-terminating) for this problem such that (1) whenever it terminates, it computes a correct answer, and (2) it always terminates when the input is ...
Franek, P. (Peter), Ratschan, S. (Stefan), Zgliczynski, P.   +2 more
openaire   +2 more sources

Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions

Ukrainian Mathematical Journal, 2019
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Abdullayev, F. G., Bushev, D. M., Kyzy, M. Imash, Kharkevych, Yu. I.   +3 more
openaire   +2 more sources

Integral Equations on Function Spaces and Dichotomy on the Real Line

Integral Equations and Operator Theory, 2006
The purpose of this paper is to give new and general characterizations for uniform dichotomy and uniform exponential dichotomy of evolution families on the real line. We consider two general classes denoted \( {\user1{\mathcal{T}}}({\user2{\mathbb{R}}}) \) and \( {\user1{\mathcal{H}}}({\user2{\mathbb{R}}}) \) and we prove that if V,W are Banach ...
openaire   +1 more source

Functional equations of real analytic Jacobi Eisenstein series

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2019
We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree m and matrix index T in case T is a kernel form.
openaire   +1 more source

Elliptic partial differential equationsfor real analytic functions

Mathematische Zeitschrift, 2000
The problem of existence of a continuous linear right inverse operator for a given partial differential operators is studied. Suppose \(K\subset\mathbb{R}^N\) is a compact convex set with nonempty interior, \(\partial K\) is the boundary of \(K,\) \(A(K)\) is the space of all real analytic functions on \(K\) and the partial differential operator \(P(D):
openaire   +1 more source

Real algebrogeometric solutions of the Landau-Lifshits equation in prym theta functions

Functional Analysis and Its Applications, 1985
The XYZ Landau-Lifshitz (L-L) equation \[ S_ t=S\times S_{xx}+S\times JS,\quad | S| =1,\quad J=diag(J_ 1,J_ 2,J_ 3) \] is a compatibility condition for the set of two linear equations \[ \psi_ x=U(u)\psi,\quad \psi_ t=V(u)\psi \to U_ t-V_ x+[U,V]=0, \] where the spectral parameter U is a point on an elliptic curve T, and U,V are the (2\(\times 2 ...
openaire   +2 more sources

Real wave equations for positive-frequency electromagnetic fields and their Green’s function solutions

Journal of Mathematical Physics, 1992
A method is provided whereby solutions of the inhomogeneous wave equations that describe the propagation of positive-frequency photons in the forward tube of complex Minkowski space may be formally expressed in terms of integrals involving the tensor product of appropriate Green’s functions.
openaire   +1 more source

Some applications of real differential equations in the theory of special classes of analytic functions

Ukrainian Mathematical Journal, 1988
Let P denote the class of functions p(z) that are analytic in the unit disk E and satisfy the conditions \(p(0)=1\) and Re p(z)\(>0\) for \(z\in E\). Let \[ S(w,\alpha)=w(z)+\alpha zw'(z)/w(z), \] where \(\alpha >0\) and w(z) is analytic in E with w(z)\(\neq 0\) and \(w(0)=1\).
openaire   +3 more sources

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

Aequationes Mathematicae, 2023
Serbenyuk Symon
exaly  

Systems of functional equations and generalizations of certain functions

Aequationes Mathematicae, 2021
Serbenyuk Symon
exaly