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61.
Mathematical Notes - 相似文献
62.
V. A. Yurko 《Mathematical Notes》2011,89(3-4):438-449
We study the inverse spectral problem for Sturm-Liouville differential operators on hedgehog-type graphs with a cycle and with standard matching conditions at interior vertices. We prove a uniqueness theorem and obtain a constructive solution for this class of inverse problems. 相似文献
63.
Vjacheslav Yurko 《Results in Mathematics》2002,42(1-2):177-191
Ordinary differential equations of an arbitrary order having a non-integrable singularity inside the interval are considered under additional matching conditions for solutions at the singular point. We construct special fundamental systems of solutions for this class of differential equations, study their asymptotical, analytical and structural properties and the behavior of the corresponding Stokes multipliers. These fundamental systems of solutions are used in spectral analysis of differential operators with singularities. 相似文献
64.
65.
The process of film formation on a solid substrate from polymer colloid dispersion during solvent evaporation has been investigated by means of the Monte Carlo simulation method. Colloid particles are modeled as hard spheres. Time evolution of the colloid density distribution and coverage of the solid substrate are studied. Both density and structure of colloid film is shown to depend strongly on the evaporation rate. At a low evaporation rate, the coexistence of hexagonal and tetragonal domains of dried colloid monolayer has been observed. The results of monolayer structure are in good agreement with the confocal scanning laser microscopy observations of Dullens et al. (2004). 相似文献
66.
Yuri Reyes-Mercado Flavio Vázquez Francisco J. Rodríguez-Gómez Yurko Duda 《Colloid and polymer science》2008,286(5):603-609
In this contribution, a theoretical modeling of the latex film formation is presented and compared to experimental results:
water vapor permeability and latex film capacitance are studied as a function of acrylic acid content in poly(styrene-co-butyl acrylate) latex films. It has been shown that both water uptake and water vapor permeability are mainly affected by
film morphology which in turn is defined by intercolloidal interaction and drying rate. 相似文献
67.
The problem of the synthesis of a stratified medium with specified amplitude and phase properties is investigated. The wave propagation in the medium is described by a system of differential equations. The synthesis problem considered in the paper relates to inverse problems of spectral analysis with incomplete spectral information. Using the contour integral method we study properties of spectral characteristics and obtain algorithms for the solution of the synthesis problem for differential equations with singularities. 相似文献
68.
V. A. Yurko 《Doklady Mathematics》2010,81(3):410-413
An inverse spectral problem is studied for Sturm-Liouville differential operators on arbitrary compact graphs (spatial networks).
A uniqueness theorem of recovering operators from their spectra is proved, and a constructive procedure for the solution of
the inverse problem is provided. 相似文献
69.
V. Yurko 《Results in Mathematics》2005,48(3-4):371-386
Inverse spectral problems are studied for non-selfadjoint systems of ordinary differential equations on a finite interval. We establish properties of the spectral characteristics, and provide a procedure for constructing the solution of the inverse problem of recovering the coefficients of differential systems from the given spectral characteristics. 相似文献
70.
We study Sturm–Liouville differential operators on noncompact graphs without cycles (i.e., on trees) with standard matching
conditions in internal vertices. First we establish properties of the spectral characteristics and then we investigate the
inverse problem of recovering the operator from the so-called Weyl vector. For this inverse problem we prove a uniqueness
theorem and propose a procedure for constructing the solution using the method of spectral mappings.
Received: February 13, 2007. 相似文献