Instability of solutions of certain nonlinear vector differential equations of third order.
Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities
We consider a reaction-diffusion system of activator-inhibitor type which is subject to Turing's diffusion-driven instability. It is shown that unilateral obstacles of various type for the inhibitor, modeled by variational inequalities, lead to instability of the trivial solution in a parameter domain where it would be stable otherwise. The result is based on a previous joint work with I.-S. Kim, but a refinement of the underlying theoretical tool is developed. Moreover, a different regime of parameters...
Instability results for certain third order nonlinear vector differential equations.
Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone.
Integral equations with contrasting kernels.
Invariant manifolds and almost automorphic solutions of second-order monotone equations
Investigation of stability on nonlinear oscilations with one degree of freedom