Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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2001, Number 1  

Mathematics
Spectral properties of some two-dimensional boundary value problems
A. N. Bobrov 		3–6
Properties of orthorecursive expansions in nonorthogonal systems
T. P. Lukashenko 		6–10
Maxima of recurrent random sequences
A. V. Lebedev 		10–14
On the averaging of solutions of a second-order elliptic equation with nonperiodic rapidly changing boundary conditions
E. I. Doronina, G. A. Chechkin 		14–19
The Diophantine equation $x^3+y^3=pqz^3$
Kh. Hessami Pilehrood 		19–22
On the uniqueness of everywhere converging multiple Haar series
M. G. Plotnikov 		23–28

Mechanics
Solving the problem of differential diagnostics by the method of statistical tests
I. T. Borisenok, M. V. Shamolin 		29–31
An asymptotic solution to the tensile crack problem in an elastic medium with varying properties (the case of plane stress)
T. A. Beliakova 		31–36
A mechanism and critical conditions for the formation of natural diamonds
V. M. Gendugov 		36–41

Short notes
Homogenization of solutions of a Neumann problem for the Laplace operator in a domain with a perforated inner boundary
V. V. Yablokov 		42–46
Double extremum probability for Gaussian stationary process
A. N. Ladneva 		46–48
Multiplication on Fréchet spaces
Yu. N. Kuznetsova 		49–51
Orthogonal pairs. I
I. Yu. Zhdanovskii 		51–54
On the least quadratic nonresidue in an arithmetic sequence
S. N. Preobrazhenskii 		54–56
A criterion for the algebraic integrability of Hamiltonian systems with homogeneous potential of fourth degree
M. Yu. Ponomareva 		56–58
Short surface waves in anisotropic fluids
A. N. Golubyatnikov, A. G. Kalugin 		58–60
Influence of nonstationarity of fluid counterjets on cavities formed by them
S. L. Tolokonnikov 		60–64

Reserach seminar on gas and wave dynamics
E. I. Shemyakin 		65
Mikhail Konstantinovich Potapov (on his 70th birthday)
S. M. Nikol'skii, P. L. Ul'yanov 		66–67
On the 90th anniversary of the birth of Aleksei Antonovich Il'yushin (20.01.1911 – 31.05.1998)
I. A. Kiiko 		68–70
 
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