Geodesic

Volume 5 (1969) no. 5

Sommaire

A linear optimal control problem
p. 783-799
A necessary and sufficient criterion, and the precise asymptotics of stability in the first approximation
p. 800-813
The existence of a family of periodic solutions of a system of two second order differential equations
p. 814-823
On the question of the stability of quasiperiodic motions
p. 824-832
A generalization of Ljapunov's first theorem on stability to certain classes of differential equations in a Banach space
p. 833-847
The stability of the state of equilibrium of systems of differential equations
p. 848-855
On the question of stability under constantly acting perturbations
p. 856-861
Integral equations with a discontinuous operator
p. 862-873
The behavior of the integral surfaces of a homogeneous Pfaffian differential equation in the vicinity of singular rays
p. 874-879
The existence and uniqueness of the solutions of differential equations with a retardation which depends on the solution and its derivative
p. 880-889
A certain problem with a small parameter
p. 890-897
A partially characteristic mixed problem with Goursat initial conditions for linear equations with two-dimensional time
p. 898-910
Estimates of the $L_p$ norms of derivatives by a nonregular set of differential operators
p. 911-921
Some model equation systems of gas dynamics
p. 922-934
Certain plane problems of electrostatics which are connected with the conformal mapping of circular quadrangles
p. 935-944
The interdependence of harmonic functions of different dimensionality
p. 945-951
Necessary optimality conditions for a system of integral equations
p. 952-953
Certain criteria for the stability of the transformation of a locally integrable signal by a transmission system
p. 954-957
On a variant of the averaging method for systems of integro-differential equations
p. 958-961
A solution of a certain problem in control theory
p. 962-963
Isochronism in the case of a focus
p. 964-966
Asymptotic formulae for the eigenvalues and eigenfunctions of a Sturm--Liouville type problem
p. 967-970