... ∞T, R imply that e−Λt, s is nondecreasing in s, hence e−Λ 1/e−Λt, s is nonincreasing in s see 4, Theorem 2.36.From4.15 andAdvances in Difference Equations 3Theorem A is the ... N, t0∈ T is the initial point, x0∈ R is the initial value, ϕ ∈ Crdt−1,t0T, R is theinitial function such that ϕ has a finite left-sided limit at the initial point provided that ... for all t ∈ t0, ∞T,Hindawi Publishing CorporationAdvances in Difference EquationsVolume 2010, Article ID 873459, 22 pagesdoi:10.1155/2010/873459 Research Article Nonoscillation of First-Order...