Generic bifurcations of vector fields with a singularity of codimension 3
Nonlinear singular integral inequalities for functions in two and independent variables.
Existence of global solutions for systems of second-order functional-differential equations with -Laplacian.
Large time behavior of solutions to second-order differential equations with -Laplacian.
Existence of global solutions for systems of second-order differential equations with -Laplacian.
Generic saddle-node bifurcation for cascade second order ODEs on manifolds
Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one. A generic saddle-node bifurcation theorem for 1-parameter families of cascade second order ODEs is proved.
On a differential game of evasion described by a class of nonlinear Volterra integrodifferential equations
Generic properties of parametrized vectorfields. I
The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3
Singular integral inequalities and stability of semilinear parabolic equations
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
On a class of nonlinear evasion games
On a codimension three bifurcation
Two-sided solutions of linear integrodifferential equations of Volterra type with delay
On a codimension 3 bifurcation of plane vector fields with symmetry
Special solutions of linear difference equations with infinite delay
For the difference equation ,where is a Banach space, is a parameter and is a linear, bounded operator. A sufficient condition for the existence of a unique special solution passing through the point is proved. This special solution converges to the solution of the equation (0) as .
Generic properties of parametrized vectorfields. II
On two-parametric systems of matrices and diffeomorphisms
On genericity of complete controllability in the space of linear parametrized control systems
On a problem of evasion
On a nonlinear differential game of evasion with constraints
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