Conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems.
Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems
In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.
Differential-algebraic equations in the theory of invariant manifolds for singular equations.
Dynamique et formes normales d’équations différentielles implicites
Dans cet article on cherche à comprendre la dynamique locale d’équations différentielles implicites de la forme , où est un germe de fonction sur (où ou ), au voisinage d’un point singulier. Pour cela on utilise la relation intime entre les systèmes implicites et les champs liouvilliens. La classification par transformation de contact des équations implicites provient de la classification symplectique des champs liouvilliens. On utilise alors toute la théorie des formes normales pour les...
Eigenvalues and symmetric positive solutions for a three-point boundary-value problem.
Existence and nonexistence of entire solutions to the logistic differential equation.
Existence for implicit differential equations in Banach spaces
We prove two existence results on abstract differential equations of the type and we give some applications of them to partial differential equations.
Existence of quasilinear relaxation shock profiles in systems with characteristic velocities
We revisit the existence problem for shock profiles in quasilinear relaxation systems in the case that the velocity is a characteristic mode, implying that the profile ODE is degenerate. Our result states existence, with sharp rates of decay and distance from the Chapman–Enskog approximation, of small-amplitude quasilinear relaxation shocks. Our method of analysis follows the general approach used by Métivier and Zumbrun in the semilinear case, based on Chapman–Enskog expansion and the macro–micro...
Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side
Existence of solutions to first-order singular and nonsingular initial value problems.
Existence results for implicit differential equations
Exposé des méthodes en Mathématiques, d'après Wronski (suite)
Extensions of the HHT- method to differential-algebraic equations in mechanics.
Extremality results for singular functional diffusion equations
Functional differential inclusions with integral boundary conditions.
Higher-index differential-algebraic equations: analysis and numerical treatment
Higher-order linear matrix descriptor differential equations of Apostol-Kolodner type.
Implicit quasilinear differential systems: A geometrical approach.
Linear stochastic differential-algebraic equations with constant coefficients.
Local and global invariants of linear differential-algebraic equations and their relation.