Existence and Relaxation Results for Second Order Multivalued Systems

SOME RESULTS FOR SOLUTION AND FOCAL POINTS OF NONSELFADJOINT SECOND ORDER SYSTEMS

Consider y" (t) + A (t)y (t) + 0, y is a real n-dimensinal vector and A(t) is a real nxn matrix, continuous on some interval. Some positivity properties of solutions and conjugate points of y"(t) + A(t)y (t) = 0 appeared in literature. We prove similar results for focal points

Second Order Multivalued Boundary

In this paper we use the method of upper and lower solutions to study multivalued Sturm{Liouville and periodic boundary value problems , with Caratheodory orientor eld. We prove two existence theorems. One when the orientor eld F (t; x; y) is convex{valued and the other when F (t; x; y) is nonconvex valued. Finally we show that the \convex" problem has extremal solutions in the order interval d...

Existence Results for Delay Second Order Differential Inclusions

In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.

Existence Results for Second-order Impulsive Functional Differential Inclusions

respectively, where F : [0,T]×D→ (Rn) is amultivaluedmap,D = {ψ : [−r,0]→Rn; ψ is continuous everywhere except for a finite number of points t̃ at which ψ(t̃−) and ψ(t̃+) exist with ψ(t̃−)= ψ(t̃)}, φ ∈D, p : [0,T]→R+ is continuous, η ∈Rn, (Rn) is the family of all nonempty subsets of Rn, 0 < r < ∞, 0 = t0 < t1 < ··· < tm < tm+1 = T , Ik, Jk : Rn → Rnk = 1, . . . ,m are continuous functions. y(t− k )...

Recent Existence Results for Second-Order Singular Periodic Differential Equations