Vol. 44, No.2, L'viv 2001 

CONTENTS

Plachta L. P. 
The combinatorics of gradientlike
flows and foliations on closed surfaces: II. The problem
of realization and some estimates 

7 
Makhney À. V. 

Asymptotic behavior of eigenvalues
and eigenfunctions of singular differential operator on
a finite interval 

17 
Gavryliv O. S., Ostapovych
B. S., Chabanyuk Ya. M. 

Description of compressing subgroup
on Decart's product of abstract Wiener spaces 

26 
Yeleyko Ya. ²., Buhriy N. V.


Asymptotics of Laplace transform
of distribution in which a tail is regularly varying function
with exponent 1 

30 
Podlevs'kyj B. M. 

Numerical method for solution
of one class of nonlinear spectral problems 

34 
Zhydyk U. V. 

On generalized boundary meanings
of solution of 2 m order almost linear elliptic equation 

39 
G³s Î. Ì., Topolyuk Yu. P.


The mean square approximation
of nonnegative finite functions by the modulus of functions
with the finite spectrum (the case of vanishing solutions
of approximation on support the finite function) 

48 
Bulacyk Î. Î., Voitovich N.
N. 

Analytical presentation of solutions
of nonlinear integral equation of approximation problem
of compactly supported functions with free phase by functions
with bounded discrete spectrum 

55 
Revenko V. P. 

Determination of exact solution
of Gelfand  Levyitan  Marchenko integral equation for
Sturm  Liouville operator with steppotential 

64 
Maksymovych V. M., Solyar T.
Ya. 

Joint application of generalized
method of separation of variables and Laplace transform
to 3D problems of nonstationary heat conduction 


70 
Zhuravchak L. M. 

Solution of spatial nonlinear
problems of elasticity theory by combination of nearboundary
elements and nonclassical difference scheme 


76 
Maksymuk A. V., Shcherbyna
N. N. 

Solution of linear boundaryvalue
problems for thinwalled elements of constructions with
variable characteristics using numericalanalytical method 


85 
Kurpa L. V., Kurpa L. I., Shmatko
A. V. 

Computer simulation and solution
of problems of thin plates and shallow shells theory 


92 
Pyryev Yu. O. 

Investigation of peculiarities
of thermoelastic contact of two bodies with nonlinear dependence
of thermal resistance on loading taken into account 


100 
Lobanova L. S. 

Thermal disturbance of stressed
state of cylinder by suddenly applied surface forces on
its ends 


107 
Selezov I. T., Àvramenko
Î. V. 

Evolution of nonlinear wave
packages taking into account surface tension at the interface 


113 
Kostushko I. A., Kuzemko V.
A. 

Elasticîplastic plate
with crack of normal separation 


123 
Kryven V. A. 

Plasticity zones in the neighborhood
of two near parallel cracks under the longitudinal shear 


127 
Kushnir R. M., Pjanylo Ya.
D., Pjanylo À. Ya. 

Comparative analysis of operational
methods of solution of heterodiffusion problems 


135 
Onyshko O. Ye., Astashkin V.
I. 

Calculation of phase and stress
state of console element of temperature indicator under
force loading 


142 
Polishchuk N. ². 

Stressedstrained state optimization
of composite multilayer isotropic cylinders with residual
stresses 


146 
Berbjuk V. Ye. 

Synthesizing optimal semipassive
control for given law of motion of nonlinear mechanical
systems 


153 
Gachkevich A. R., Gachkevich
Ì. G., Kasperski Z.,
Trishch B. Ì. 

Optimal heating by external
media and thermal sources of glass compound shell system 


158 
Burak Ya. Yo., Kondrat V. F.


Nonlinear equations of state
of electrical conductive thermosensitive elastic bodies 


167 
Naumenko Yu. V. 

Numerical simulation
of rotating flows by "markerandcell" method 


171 