On oscillation of solutions of nth-order delay differential equations

AbstractOscillatory behavior of the solutions of the nth-order delay differential equation Lnx(t) + q(t)f(x[g(t)]) = 0 is discussed. The results obtained are extensions of some of the results by Kim (Proc. Amer. Math. Soc. 62 (1977), 77–82) for y(n) + py = 0

Asymptotic and oscillatory behavior of solutions of a class of second order differential equations with deviating arguments

AbstractThe asymptotic and oscillatory behavior of solutions of damped nonlinear second order differential equations with deviating arguments of the type (a(t) ψ(x(t)) ẋ(t)). + p(t)ẋ(t) + q(t) + q(t)f(x[g(t)]) = 0 (. = d/dt) is studied. Criteria for oscillation of all solutions when the damping coefficient “p” is of constant sign on [t0, ∞) are established. Results on the asymptotic and oscillatory behavior of solutions of the damped-forced equation (a(t)ψ(x(t))ẋ(t)). + p(t)ẋ(t) + q(t)f(x[g(t)]) = e(t), where q is allowed to change signs in [t0, ∞), are also presented. Some of the results of this paper extend, improve, and correlate a number of existing criteria

Oscillation theorems for second order nonlinear functional differential equations with damping

AbstractNew oscillation criteria are given for a second order nonlinear functional differential equation (α(t)χ(t))′ + δp(t)χ′[σ(t)] − q(t)|χ[g(t)]|λ sgnχ[g(t)] = 0, where δ = ±1 and λ > 0

Semipositone higher-order differential equations

AbstractKrasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone conjugate and (n, p) problems

Oscillation of certain fourth order functional differential equations

Some new criteria for the oscillation of fourth-order nonlinear functional differential equations of the special form are established.Встановлено деякі нові критерії коливання нелінійних функціональних диференціальних рівнянь спеціального вигляду

On the Oscillation of Certain Functional Differential Equations

AbstractIn the present paper we establish some new criteria for the oscillatory and asymptotic behavior of certain class of functional differential equations of the form x(n)(t) + p(t)x(n−1)(t − h) = H(t, x(g(t)))

Designing capacity-building in e-learning expertise: Challenges and strategies

This research study looks at how organizations in developing countries perceive the challenge of building capacity in e-learning expertise. Data was collected on six such organizations, and a range of perceived rationales and constraints were identified. The paper hypothesizes a four-part framework to define the e-learning capacity gaps that these circumstances appear to represent: the 'instructional design capacity gap', the 'production capacity gap', the 'tutorial capacity gap' and the 'community building gap'. The framework is used to re-examine the data to explore the ways in which the organizations' e-learning activities might constitute strategic responses to the hypothesized capacity gaps

Strangeness nuclear physics: a critical review on selected topics

Selected topics in strangeness nuclear physics are critically reviewed. This includes production, structure and weak decay of $\Lambda$--Hypernuclei, the $\bar K$ nuclear interaction and the possible existence of $\bar K$ bound states in nuclei. Perspectives for future studies on these issues are also outlined.Comment: 63 pages, 51 figures, accepted for publication on European Physical Journal