Vol. 46, No.3, L'viv 2003
Dedicated to
the 75th birth anniversary of
Yaroslav
Stepanovych Pidstryhach
academician
of NASU 

CONTENTS

Polishchuk V. Ì.,
Ptashnyk B. Yo. 
Problem with
periodic in time variables conditions for weakly nonlinear
equations 

7 
Ivasyshen S. D.,
Medynsky I. P. 

Cauchy problem
for parabolic systems with degeneration on
initial hyperplane 

15 
Kalenyuk P. I.,
Kohut I. V., Nytrebych Z. M.


Differentialsymbol method of solving the nonlocal
boundaryvalue problem for a homogeneous system of partial
differential equations 

25 
Bodnar
D. I.


Multidimensional
generalizations of continued fractions 

32 
Kuchmins’ka Kh.
Yo., Vozna
S. M.


Multipoint
formula based on associated continued fraction 

40 
Kovalenko
L. G. 

On some
representation of negative order Cesaro means of double
orthogonal series 

48 
Lopushansky O.
V., Dmytryshyn M. I. 

Approximation
spaces between Banach space and exponential type vectors


54 
Prytula M. M.,
Vorobyova Î. V. 

Cartan’s
connection construction and associated nonlocal
finitedimensional reductions on integral jetsubmanifold
for inverse modified dynamic Korteveg – de Vries system 

61 
Popov G. Ya.


On one method for
obtaining integral transforms using in construction
precise solutions to mathematical physics boundaryvalue
problems 

74 
Rushchitsky J. J.


Features of
development of the theory of elastic nonlinear waves 

90 
Piddubniak
O. P. 

Sound radiation
by elastic circular cylinder rotating around its axis with
variable angular velocity 


106 
Danoyan Z. N.


Plane
magnetoelastic waves in anisotropic perfectly conducting
media 


116 
Bozhydarnyk V.
V., Halaziuk V. A., Laba V. V., Sulym G. T.


Nonclassical
model of planar deformation of solid with gap under
transverse displacement 


121 
Chekurin V. F.


Mathematical
problems of tensor fields tomography in solids with residual
stresses 


132 
Kiselev M. I. 

Role of phase and
phase methods in the theory and its applications 


149 
Savenko P. O.


Structure of
solution to microstrip antenna synthesis according to given
amplitude directivity pattern 


151 
Andriychuk M. I.


Linear antenna
array synthesis, consisting of waveguide radiators 


166 
NEW ITEAMS AND
INFORMATION 

Sulym G. T.,
Turchyn I. M.


The 5^{th}
UkrainianPolish science symposium "Current problems of the
mechanics of nonhomogeneous structures" 


174 