Titlebook: Current Trends in Analysis and Its Applications; Proceedings of the 9 Vladimir V. Mityushev,Michael V. Ruzhansky Conference proceedings 201

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https://doi.org/10.1007/978-3-658-03803-8In this article the general solution of the first order ordinary differential systems is found. The Cauchy problem is solved.

影響

Cursory

Creditee

Riemann Problems for Single-Periodic Polyanalytic Functions IIIn this article, we obtain the explicit expression of the solution and the conditions of solvability for the Riemann problem of single-periodic polyanalytic function.

savage

The Schottky–Klein Prime FunctionThis paper describes the Schottky–Klein prime function. The classical Schottky groups and the Poincaré .-series are used to construct the Schottky–Klein prime function for arbitrary multiply connected circular domains.

exceed

Green Function of the Dirichlet Problem for the Laplacian and Inhomogeneous Boundary Value Problems The aim of this work is to present a new definition of the Green function of the Dirichlet problem for the Laplace equation prompted by the theory of ordinary differential equations and investigate correctly solvable boundary value problems for the Poisson equation in a punctured domain.

掃興

糾纏,纏繞

Harmonic Dirichlet Problem in a Ring SectorIn this paper, we construct a harmonic Green function by reflection method in a general ring sector with angle . and ., then the related harmonic Dirichlet problem for the Poisson equation is discussed explicitly.

Aerate

linear

On Existence of the Resolvent and Discreteness of the Spectrum of a Class of Differential Operators The existence and compactness of the resolvent and discreteness of the spectrum of some hyperbolic differential operators are studied in this paper. One of the main results is the criterion of discreteness of the spectrum of a hyperbolic singular differential operator.