Evanescent solutions for linear ordinary differential equations.
Existence and multiplicity of heteroclinic solutions for a non-autonomous boundary eigenvalue problem.
Existence and multiplicity results for singular -Laplacian BVPs on the positive half-line.
Existence and uniqueness of positive solutions for a BVP with a -Laplacian on the half-line.
Existence and uniqueness of very singular solution of a degenerate parabolic equation with nonlinear convection.
Existence of multiple positive solutions for third-order boundary-value problem on the half-line with dependence on the first order derivative.
Existence of positive solution for second-order impulsive boundary value problems on infinity intervals.
Existence of positive solutions for boundary value problems of second-order nonlinear differential equations on the half line.
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 second-order differential equations and systems on infinite intervals.
Existence of solutions to second order ordinary differential equations having finite limits at infinity.
Existence of three positive solutions for -point discrete boundary value problems with -Laplacian.
Existence problems for homoclinic solutions.
Existence problems for -closed orbits.