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Authors
Affiliations
1 Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Dist-Sambalpur, 768018, Orissa, IN
2 Department of Mathematics, Silicon Institute of Technology, Bhubaneswar, Orissa, IN
3 Department of Computer Science, K.I.S.T, Bhubaneswar, Orissa, IN
Source
The Journal of the Indian Mathematical Society, Vol 76, No 1-4 (2009), Pagination: 141-150
Abstract
In this paper sufficient conditions are obtained so that every bounded solution of
(y(t)-p(t)y(t-τ))' + Q(t)G(y(t-σ)) = f(t)
oscillates or tends to zero as t→1, where the coefficient functions Q(t), and f(t) are assumed to be oscillatory. It is known that such assumptions on coefficient functions are very rare in literature. Different ranges for p(t) are considered including the case when p(t) changes sign. The results hold for all types of the non-linear function G and also hold when f(t)≡0.
Keywords
Oscillatory Solution, Non Oscillatory Solution, Asymptotic Behaviour.
