Existence of positive solutions for singular eigenvalue problems.
Existence of positive solutions for singular four-point boundary value problem with a -Laplacian
In this paper we deal with the four-point singular boundary value problem where , , , , , , , and may be singular at . By using the well-known theory of the Leray-Schauder degree, sufficient conditions are given for the existence of positive solutions.
Existence of positive solutions for singular fractional differential equations.
Existence of positive solutions for singular second order boundary value problems.
Existence of positive solutions for the symmetry three-point boundary-value problem.
Existence of positive solutions for two nonlinear eigenvalue problems.
Existence of positive solutions in generalized boundary value problem for -Laplacian dynamic equations on time scales.
Existence of positive solutions of a discrete elastic beam equation.
Existence of positive solutions of a singular nonlinear boundary value problem.
Existence of positive solutions of fourth-order problems with integral boundary conditions.
Existence of positive solutions of -dimensional system of nonlinear differential equations entering into a singular point
Existence of positive solutions of nonlinear second-order periodic boundary value problems.
Existence of positive solutions of -Laplacian functional differential equations.
Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system.
Existence of positive solutions to singular -Laplacian general Dirichlet boundary value problems with sign changing nonlinearity.
Existence of positive solutions to some impulsive second-order integrodifferential equations.
Existence of positive solutions to vector boundary value problems. II.
Existence of positive solutions to vector boundary value problems. I.
Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution 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...