Geodesic

Volume 6 (1970) no. 6

Sommaire

The simultaneous stability of the characteristic exponents of mutually adjoint systems of linear differential equations
p. 943-947
The asymptotic representation of the solutions of nonlinear second order differential equations
p. 948-961
Similarity of the solutions of a perturbed and an unperturbed system with a divided-diagonal matrix
p. 962-974
Asymptotic integration of certain classes of nonautonomous systems of differential equations by means of differential invariants
p. 975-988
Integrals of a linear equation of order $m+n$ with a small parameter multiplying the derivatives
p. 989-999
Construction in finite form of the solutions of certain classes of nonautonomous systems of ordinary differential equations
p. 1000-1006
Synthesis of optimal control for a second order nonlinear system of special form
p. 1007-1016
A certain class of systems of two differential equations
p. 1017-1025
Certain iteration processes for the solution of differential equations in a Banach space
p. 1026-1033
On the question of constructing coordinate sequences
p. 1034-1047
A theory of the functional equations of Malju{\v z}inec. II. The theory of infinite Barnes products. General solutions of homogeneous functional equations of Malju{\v z}inec. Various representations of the fundamental solutions
p. 1048-1063
The behavior of the solution of a boundary value problem for a second order quasilinear parabolic equation as $t\rightarrow \infty $
p. 1064-1072
The behavior on the boundary of the solutions of a degenerate second order elliptic equation with discontinuous coefficients
p. 1073-1085
The equivalence of the $T_s(\alpha,\lambda_k)$ methods, $s>0$, the Ces\`aro and Riesz methods of arbitrary positive order, and Abel's method, for Fourier series in fundamental function systems of Laplace's operator
p. 1086-1098
A certain modification of Fourier's method for a certain class of polyharmonic equations of parabolic type with coefficients that are dependent on the time
p. 1099-1111
The asymptotic behavior of the solutions of a renewal equation
p. 1112-1114
A remark on the asymptotic behavior of the solutions of the equation $u''+a(t)u=0$
p. 1115-1117
Partial averaging in systems of ordinary differential equations
p. 1118-1120
A certain approximate method of solving an abstract parabolic equation
p. 1121-1124
Three variants of averaging in integro-differential equations
p. 1125-1126
A test for the existence of a periodic solution of the Li\'enard equation
p. 1127-1130
The asymptotic behavior of the solutions of nonlinear systems of differential equations
p. 1131-1132