Existence and regularity of integral solutions for nonlinear parabolic differential inclusions;

Filippov theorem for C~1-trajectories of Aubin's differential inclusions

Equivalence between control systems with complementar constraints and differential inclusions

Nonlinear Boundary Value Problems for Differential Inclusions;

Viability theory is an advanced field,in which differential inclusions are used to research the state evolutions on systems with uncertainties under constraints.

A viability theorem for the partial differential inclusions is proved and a topological property of the viability solution set for the partial differential inclusions is given.

Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equations are obtained.

By using a generalized Riccati transformation, some sufficient conditions are established for the oscillation of solutions of delay hyperbolic differential equations of the form ~2 t~2u(x,t) =a(t)Δu(x,t)+sk=1a_k(t)Δ u(x,t-ρ_k)-mj=1q_j(x,t)u(x,t-σ_j), where (x,t)∈Ω×[0,∞)≡G, Ω is a bounded domain in R~N with a piecewise smooth boundary Ω and Δ is the Laplacian in Euclidean N-space R~N.

In this paper,by using the characteristic equation,some forced oscillation of certain delay hyperbolic differential equations are obtained.

This paper deals with the Cauchy problem for a hyperbolic equation of second order by transforming the problem into a system of integral equations,thus proving that the problem has differentiable solution under some conditions by using the iteration method.

Deals with the Cauchy problem for a hyperbolic equation of second order v xx -h(x,y)k(y)v yy +a(x,y)v x+b(x,y)v y+c(x,y)v+f(x,y)=0.

Sufficient conditions are obtained for oscillation of solutions of a nonlinear delayed hyperbolic differential equations  2ut 2=a(t)Δu+si=1a i(t)Δu(x,t-ρ i(t))-f(x,t,u)-kj=1g j(x,t,u(x,t-σ j)),(x,t)∈Ω×(0,∞) with u=0,(x,t)∈Ω× 0,∞).