Geodesic

Volume 9 (1973) no. 9

Sommaire

Sufficient conditions for the oscillatoriness of the solutions of nonlinear differential equations with deviating argument
p. 1555-1560
Certain questions of whether a linear optimal control problem with minimal pulse is well-posed. II.~Dependence of the optimal trajectory on the initial state, on the perturbations and on the parameters
p. 1561-1571
Movable singular points of a completely integrable first order total differential equation
p. 1572-1582
Existence, uniqueness and convergence of successive approximations for differential equations of neutral type with lag
p. 1583-1592
A general class of systems of two differential equations that have no solutions with movable essential singularities
p. 1593-1600
Nonselfadjoint abstract differential operators with discrete spectrum
p. 1601-1608
The averaging of the trajectories of slow dynamical systems
p. 1609-1617
The boundary of the set of controllability of plane holomorphic systems
p. 1618-1626
Representation of the solutions of linear differential-difference equations of neutral type
p. 1627-1645
Estimates of the fundamental potentials for parabolic equations of higher order.~II
p. 1646-1653
Asymptotic behavior of the solution of the equation $\mu^2\Delta u-k^2(x,y)u=f(x,y)$ in a rectangular domain
p. 1654-1660
A certain method for the solution of partial differential equations
p. 1661-1672
A uniqueness theorem for a certain inverse problem for a system of hyperbolic equations of order~$n$
p. 1673-1682
Diffraction of electromagnetic waves in a cylinder by a sphere
p. 1683-1692
Solution of a certain boundary value problem of the theory of the diffraction of waves for a region that is bounded by a plane and by the surface of an elliptic cylinder
p. 1693-1699
The smoothness of the eigenfunctions of a compressed plate near the corners
p. 1700-1706
Normal solvability in the sense of Hausdorff of a certain nonlinear problem
p. 1707-1717
Certain necessary conditions for the stability in the large of the zero solution of a certain system of $n$~nonlinear differential equations that satisfy generalized Routh--Hurwitz conditions
p. 1718-1720
Necessary conditions for the optimality of multidimensional singular controls
p. 1721-1724
The Goursat problem over Gevrey spaces
p. 1725-1727
The optimal control of a system with free initial and final states in Hilbert space
p. 1728-1729
Certain boundary value problems and their approximate solutions
p. 1730-1733
A study of the set of periodic solutions of a certain system of second order differential equations without dissipation
p. 1734-1737