Existence of eigenvalues for second-order differential systems

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 and impulsive stability for second order retarded differential equations

One of the most important parts of the qualitative theory in differential equations is the stability of solutions. The problem of stabilizing the solutions by imposing proper impulse controls is very important to many areas of the sciences and engineering. It is important, for instance, in pharmacokinetics, biotechnology, economics, chemical technology and others. We consider certain second ord...

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

EXISTENCE OF GLOBAL SOLUTIONS FOR SYSTEMS OF SECOND-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations ` A(t)Φp(y ′) ́′ + B(t)g(y′, y′ t) + R(t)f(y, yt) = e(t), where Φp(u) = (|u1|p−1u1, . . . , |un|p−1un)T which is the multidimensional p-Laplacian.