Geodesic

Tome (1958) no. 4

Sommaire

Some general formulae for the solution of partial differential equations with constant coefficients
p. 3-20
The application of Fourier series for finding almost periodic solutions of equations with mean values
p. 21-27
The construction of generalized resolvents of a~symmetric finite-difference operator of second order with deficiency index (1,1)
p. 28-35
On the asymptotic integration of non-linear systems with many degrees of freedom
p. 36-40
On the theory of matrix operators in Orlicz spaces
p. 41-53
Properties of solutions of the differential equation $\dfrac{d^ny}{dx^n}+p(x)\cdot\dfrac{d^{n-1}y}{dx^{n-1}}+q(x)\dfrac{d^{n-2}y}{dx^{n-2}}+f(x)\cdot y=0$ and their derivatives for large values of the argument
p. 54-59
On reducibility of infinite groups of Cartan mappings
p. 60-66
Semisimple transitive imprimitive groups of four-dimensional complex space
p. 67-79
The approximation of functions by polynomials with integral coefficient
p. 80-88
Some properties of singular integrals
p. 89-95
The stability of the inverse problem of the logarithmic potential
p. 96-99
The representation of functions of several variables by means of plane waves and the solution of Cauchy's problem for hyperbolic syste
p. 100-112
The correctness of the formulation of a~problem in optimal regulation
p. 113-126
A~condition for the compactness of sets in partially ordered spaces
p. 127-130
Some properties of the solutions of nonlinear elliptic equations
p. 131-139
A~new method for solving linear and nonlinear total differential equations with variable coefficients. Determination of periodic solutions
p. 140-152
A~generalization of Galerkin's method
p. 153-160
Classification of nilpotent Lie algebras of sixth order
p. 161-171
On intrinsic geometry of the second kind on hypersurfaces of an affine space
p. 172-183
The distribution of zeros of eigenfunctions of a~self-adjoint elliptic operator of the second order
p. 184-190
On a~class of lattices with non-unique complements
p. 191-201
The numerical solution of the integral equations of the Stefan problem
p. 202-214
Formulae for the boundary values of a~class of functions of two complex variables prescribed on $(p,\,q)$-bicircular regions
p. 215-217
The uniqueness of the solution of the basic problem of free thermal convection in a~liquid
p. 218-221
Some properties of orthogonal polynomials
p. 222-235
Algebraic theory of coordinate structures and geometric objects
p. 236-247
On the shape of the region of attraction of the null solution of the differential equation $\ddot x=f(x,\,\dot x)$
p. 248-264
Conditions for the solvability of \v{C}aplygin's problem for linear difference equations
p. 265-269
Almost-periodic solutions of inhomogeneous linear differential equations with lag
p. 270-274
On the mode of convergence of the Euler algorithm for extraction of roots
p. 275-278