Hyperbolic differential-operator equations on a whole axis.
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
Lagrangian stability of a class of second-order periodic systems.
Liapunov Functions and Error Bounds for Approximate Solutions of Ordinary Differential Equations.
Limit Circle Results for Second Order Equations.
Linear impulsive dynamic systems on time scales.
Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via Riccati equations.
Linearized stability results in continuous interpolation spaces
Local Bifurcations in a Nonlinear Model of a Bioreactor
This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008.We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations in the computer algebra...
Local method of nonlinear analysis
Lyapunov stability and stability at constantly acting disturbances of an abstract differential equation of the second order
Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Lyapunov stability theory for dynamic systems on time scales.