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