Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Analytic continuation with respect to a parameter in the neighbourhood of zero of Green's function of basic external boundary value problems for the Helmholtz equation. (Russian)
Authors: Suveica I. V.
Abstract
In many casses the contour of Mellin's integral representing the solution of the mixed problem for a nonstationary equation can be moved, accordingly to Cauchy theorem, to the left of the imaginary axis of the Laplace complex plane except of zero. In these cases the main term of asymptotic in time is determined by the analytic properties of Green's function for the limit problem corresponding to the Helmholtz equation in the neighborhood of zero.Institutul de Matematică Academia de Ştiinţe
str. Academiei 5, MD-2028 Chişinău, Moldova
str. Academiei 5, MD-2028 Chişinău, Moldova
Contents
- Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. (English)
- Lyapunov stability and attraction of rest points of dynamical systems. (Russian)
- Connectedness of the Levinson center of a compact dissipative dynamical system without uniqueness. (Russian)
- Analytic continuation with respect to a parameter in the neighbourhood of zero of Green's function of basic external boundary value problems for the Helmholtz equation. (Russian)
- On absence of eigenvalues of singular, not selfadjoint differential operators. (Russian)
- Affine-invariant conditions for determining the number and multiplicity of singular points of quadratic differential systems. (English)
- Analysis of the condition ${\germ A}(k)$ for four-dimensional systems of differential equations. (Russian)
- Existence of limiting boundary and initial values of weak solutions of parabolic equation. (Russian)
- $L\sb 2$-estimates of solutions of the singular hyperbolic equations. (English)
- Energetic type estimates for singular hyperbolic equations of high order. (English)
- On sufficient conditions of the center for a cubic system of differential equations. (Russian)
- Concordant solutions of multidimensional differential equations. (English)
- Linear particular integrals and the problem of the center. (Russian)
- On algebraic differential equations with an integrating factor of Darboux type. (Russian)
