Computable error bounds with improved applicability conditions for collocation methods.
Computation of Green's matrices for boundary value problems associated with a pair of mixed linear regular ordinary differential operators.
Computation of topological degree in ordered Banach spaces with lattice structure and applications
Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.
Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Computing eigenvalues of regular Sturm-Liouville problems.
Computing generalized inverse systems using matrix pencil methods
We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil...
Computing the differential of an unfolded contact diffeomorphism
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of . Singularity classes containing bifurcation points with , are considered.
Computing the Galois group of a linear differential equation
Concave Solutions of Singular Non-linear Differential Equations.
Concerning Transcendentally Transcendental Functions
Concerning two methods of defining the center of a dynamical system, II
Concours d'admission à l'École normale supérieure
Condition nécessaire d'optimalité pour un système régi par des équations aux dérivés partielles non linéaires de type parabolique
Condition number estimates for elliptic difference problems with anisotropy
Conditional differential equations
We introduce and study conditional differential equations, a kind of random differential equations. We give necessary and sufficient conditions for the existence of a solution of such an equation. We apply our main result to a Malthus type model.
Conditional oscillation of half-linear differential equations with periodic coefficients
We show that the half-linear differential equation with -periodic positive functions is conditionally oscillatory, i.e., there exists a constant such that () with instead of is oscillatory for and nonoscillatory for .
Conditioning of three-point boundary value problems associated with first order matrix Lyapunov systems.
Conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems.
Conditions for existence and uniqueness of solutions to multipoint boundary value problems for systems of generalized ordinary differential equations.
Conditions for existence of a global strong solution to a class of nonlinear evolution equations in Hilbert space. II.