Differential Equations and Control Theory

Inverse spectral problems for elliptic operators and fractal drums; on a difference equation with last conditions; the estimates of Eigenvalues for Laplace operator; on second order linear differential systems; periodic/quasiperiodic solutions of second order Duffing's equations; positive radial solutions to nonlinear boundary value problems for semilinear elliptic problems; on the uniqueness of solution of integral equations; the asymptotic expansion for spline-on-spline collocation of nonlinear two point boundary problem; stability of nonlinear measure differential large scale systems with impulsive effect; on the existence of symmetric periodic solutions of a differential difference equation; stochastic perturbations of dynamical systems; the measure properties of a class of general subordinators and the random re-orderings of the Cantor set; oscillation theorems for certain first-order nonlinear neutral differential equations; direction and stability of bifurcating periodic solutions in predator-prey systems with discrete delay; five-dimensional cooperative systems with every equilibrium stable; some problems of optimal control and estimation for stochastic hereditary systems; numerical analysis of some stochastic suboptimal controlled systems; bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations; generaic Hamiltonian systems with small perturbations; dimensions of measure supported on generalized MW construction; contributions to the theory of optimal stochastic controls; higher order abstract Cauchy problems in locally convex spaces; Ekeland's variational principle and maximum principle of time-delay system; stability problems of impulsive systems; temporal and spatial pattern formations; Pth moment exponential stability of large-scale stochastic delay systems in hierarchical form.

Biography

Z. Deng, Z. Liang, G. Lu, S. Ruan