Convergence of solutions of certain non-homogeneous third order ordinary differential equations
Convergence of the Lagrange-Newton method for optimal control problems
Convergence results for two Lagrange-Newton-type methods of solving optimal control problems are presented. It is shown how the methods can be applied to a class of optimal control problems for nonlinear ODEs, subject to mixed control-state constraints. The first method reduces to an SQP algorithm. It does not require any information on the structure of the optimal solution. The other one is the shooting method, where information on the structure of the optimal solution is exploited. In each case,...
Convergence of the solutions for the equation .
Convergence properties of the finite difference method for solving variational inequalities
Convergence Properties of the Runge-Kutta-Chebyshev Method.
Convergence rate of the solutions of singularly perturbed time-optimal control problems
Convergence results for nonlinear evolution inclusions
In this paper we consider evolution inclusions of subdifferential type. First, we prove a convergence result and a continuous dependence proposition for abstract Cauchy problem of the form u' ∈ -∂⁻f(u) + G(u), u(0) = x₀, where ∂⁻f is the Fréchet subdifferential of a function f defined on an open subset Ω of a real separable Hilbert space H, taking its values in IR ∪ {+∞}, and G is a multifunction from C([0,T],Ω) into the nonempty subsets of L²([0,T],H). We obtain analogous results for the multivalued...
Convergence tests for one scalar differential equation with vanishing delay
Convergence to equilibria in a differential equation with small delay
Convergence to equilibria in a differential equation with small delay
Consider the delay differential equation where is a constant and is Lipschitzian. It is shown that if is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.
Converse theorem for practical stability of nonlinear impulsive systems and applications
The Lyapunov's second method is one of the most famous techniques for studying the stability properties of dynamic systems. This technique uses an auxiliary function, called Lyapunov function, which checks the stability properties of a specific system without the need to generate system solutions. An important question is about the reversibility or converse of Lyapunov's second method; i. e., given a specific stability property does there exist an appropriate Lyapunov function? The main result of...
Convex and nonconvex perturbations of evolution equations. (Perturbations convexes et non convexes des équations d'évolution.)
Convex solutions of systems arising from Monge-Ampère equations.
Convexity, boundedness, and almost periodicity for differential equations in Hilbert space.
Convexity of the orientor field and the solution set of a class of evolution inclusions
Convexity of the stability region of Hurwitz systems of differential equations.
Convoluted C-operator families and abstract Cauchy problems
Convolution algebras arising from Sturm-Liouville transforms and applications.
Convolution operators on spaces of holomorphic functions
A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
Convolution product of periodic distributions and the Dirichlet problem on the unit disc