Stability analysis of a model of atherogenesis: an energy estimate approach. II.
Stability analysis of a model of atherogenesis: an energy estimate approach.
Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions
Stability criteria for a class of discrete reaction-diffusion equations.
Stability of fixed points for order-preserving discrete-time dynamical systems.
Stability of radially symmetric travelling waves in reaction–diffusion equations
Stability of stochastic reaction-diffusion recurrent neural networks with unbounded distributed delays.
Stability of traveling waves and a relation between the Evans function and the SLEP equation.
Stability of travelling waves in a model for conical flames in two space dimensions
Stability properties of non-negative solutions of semilinear symmetric cooperative systems.
Stabilization for a periodic predator-prey system.
Stabilization of solutions of a reaction-diffusion equation
Stable multiple-layer stationary solutions of a semilinear parabolic equation in two-dimensional domains.
Stable subharmonic solutions and asymptotic behavior in reaction-diffusion equations.
State trajectories analysis for a class of tubular reactor nonlinear nonautonomous models.
Steady states for a fragmentation equation with size diffusion
The existence of a one-parameter family of stationary solutions to a fragmentation equation with size diffusion is established. The proof combines a fixed point argument and compactness techniques.
Stochastic reaction diffusion equations and interacting particle systems
Symmetry and new solutions of the Black-Scholes equation.
Systems of reaction-diffusion equations with spatially distributed hysteresis
We study systems of reaction-diffusion equations with discontinuous spatially distributed hysteresis on the right-hand side. The input of the hysteresis is given by a vector-valued function of space and time. Such systems describe hysteretic interaction of non-diffusive (bacteria, cells, etc.) and diffusive (nutrient, proteins, etc.) substances leading to formation of spatial patterns. We provide sufficient conditions under which the problem is well posed in spite of the assumed discontinuity of...