1 - 10 of 16 articles
We use the Matrosov comparison method to obtain sufficient conditions for the convergence phenomenon in a complex almost periodic system of differential equations.
We study the geometry of orbits of a family of Killing vector fields. We show that the orbits are integral submanifolds of the distribution generated by the smallest Lie algebra containing this family of Killing vector fields.
We prove the solvability of the three-dimensional stationary free convection problem with regard of radiative heat exchange. We show that the set of solutions is homeomorphic to a compact set in a finite-dimensional space. Sufficient conditions for the uniqueness of the solution are obtained.
For a certain class of vector-order degenerate parabolic systems of Kolmogorov equations, we prove the well-posed solvability of the Cauchy problem with generalized initial data like Gelfand-Shilov distributions.
We derive conditions on the complex parameter ensuring that the solution of the Tricomi problem for the Lavrent’ev-Bitsadze equation with two lines of type change is unique.
We suggest a method for constructing Frobenius canonical forms of linear time-varying systems of ordinary differential equations with scalar input. The method is based on the quasidifferentiability of the coefficients with respect to a specially constructed lower-triangular matrix. The use of...
We suggest a new method for solving the terminal control problem for dynamical systems by supplementing the original system with equations for derivatives of the control and by replacing the terminal problem by two coupled Cauchy problems. We show that, in the case of flat systems, the suggested...
We obtain second-order necessary optimality conditions for a discrete optimal control problem. These conditions are proved without the a priori assumption of the differentiability of the right-hand side of the control system with respect to the variable corresponding to the control parameter and...
For conflict problems with side interests of participants, we suggest additional notions of weak equilibria, which have individual-Pareto properties and a conflict stability and present a method for solving similar problems both in the static and dynamical statements.
We consider the terminal problem for affine systems in quasicanonical form that are not feedback linearizable but admit orbital linearization. We suggest a method for solving terminal problems for this class of systems. We present an example in which the solution of a terminal problem is...
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