The authors consider the forced nonlinear neutral delay equation [y(t) + P(t)y(g(t)]' - Q(t)f(y(h(t)) = R(t) (E)where P,Q,R,g,h: [t0,∞)→R are continuous, g(t)≤t,h(t)≤t,g(t)→∞ and h(t)→ ∞ as t →∞, Q(t)≥0...The authors consider the forced nonlinear neutral delay equation [y(t) + P(t)y(g(t)]' - Q(t)f(y(h(t)) = R(t) (E)where P,Q,R,g,h: [t0,∞)→R are continuous, g(t)≤t,h(t)≤t,g(t)→∞ and h(t)→ ∞ as t →∞, Q(t)≥0, f:R →R is continuous, and uf(u) > 0 for u ≠0. Sufficient conditions are placed on P,Q,f, and R so that certain classes of solutions of (E) tend to zero as t →∞. Some suggestions for further research are also indicated.1991 Mathematics Subject Classification. Primary 34K40, 34K15; Secondary 34C11,34C15.展开更多
文摘The authors consider the forced nonlinear neutral delay equation [y(t) + P(t)y(g(t)]' - Q(t)f(y(h(t)) = R(t) (E)where P,Q,R,g,h: [t0,∞)→R are continuous, g(t)≤t,h(t)≤t,g(t)→∞ and h(t)→ ∞ as t →∞, Q(t)≥0, f:R →R is continuous, and uf(u) > 0 for u ≠0. Sufficient conditions are placed on P,Q,f, and R so that certain classes of solutions of (E) tend to zero as t →∞. Some suggestions for further research are also indicated.1991 Mathematics Subject Classification. Primary 34K40, 34K15; Secondary 34C11,34C15.
