Geodesic

Volume 25 (1989) no. 2

Sommaire

The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations. II
p. 187-192
Second-order kindred linear differential equations
p. 192-201
Nonnegativity of the Cauchy matrix and the stability of a system of linear differential equations with retarded argument
p. 201-208
Linear systems with nonregularity sets of full measure
p. 209-212
Investigation of the existence and convexity of limit cycles by the method of generalized Lyapunov functions
p. 212-216
An analogue of a theorem of Hartman
p. 216-222
Eigenvalues of boundary value problems. Transformations of boundary value problems to boundary value problems with small coefficients
p. 222-228
A priori estimation of the length of a closed trajectory on a plane
p. 229-233
On exponential dichotomy with maximal index and on uniform strong positivity of a family of automorphisms of a vector bundle
p. 234-240
Linearization of an autonomous system in a neighborhood of a saddle singular point
p. 240-246
A singularly perturbed differential equation with a Fredholm operator multiplying the derivative
p. 247-258
The third boundary value problem for degenerate linear elliptic equations
p. 259-262
Spatial singularities of high-mode bifurcations of two-component systems with small diffusion
p. 262-270
Boundary value problems for third-order parabolic-hyperbolic equations with a noncharacteristic line of change of type
p. 271-275
Local solvability of some multidimensional inverse problems for equations of hyperbolic type
p. 275-283
The homogeneous Keldysh--Sedov problem for multiply connected circular domains in the Muskhelishvili class $h_0$
p. 283-293
Connection formulas for spheroidal functions in different coordinate systems
p. 294-299
The generalized Hilbert operator
p. 300-306
Solvability in closed form of a class of complete singular integral equations
p. 307-311
Solutions of a class of nonlinear singular integro-differential equations with a shift
p. 311-320
Asymptotic estimates for the solutions of the renewal equation
p. 320-325
An integro-differential operator of potential theory
p. 325-329
Estimates of the solution of a half-space initial-boundary value problem for a system of equations of elliptic-parabolic type in $W_p^l$-classes
p. 330-331
Метод функций Ляпунова и обобщенная непрерывная зависимость решений от начальных данных
On the bifurcation of the separatrix connecting two equilibrium states
p. 332-335
Necessary conditions for stability of characteristic Lyapunov exponents of linear differential systems in case of exponentially decreasing perturbations
p. 335-336
On the connection between the Liouville equation and the superradiative cascade equation
A problem of Showalter
p. 338-339
Generalized solutions of integral equations of the first kind with weak singularities on closed surfaces
p. 340-341
Removable singularities of H\"older solutions of elliptic systems
p. 341-342
On analytic solutions of the Korteweg--de Vries equation represented by exponential series
A method for constructing a solution of the two-dimensional nonlinear Poisson equation
p. 343-345
Some integral operators in the theory of generalized analytic functions
p. 345-347
A nonlocal problem for an analytic function in a doubly connected domain
p. 348-350
Limit cycles of a quadratic system of differential equations in the presence of an integral line
p. 351-352
An algorithm for constructing a regularized asymptotic solution of a nonlinear singularly perturbed boundary value problem in the resonance case
p. 352-355
The unconditional basis property of root vectors of loaded operators
p. 355-357
Exponential stability of linear systems with delay
p. 357-359