doi: 10.1007/BF02836875pmid: N/A
In this paper we study certain properties of partial sums, cesáro and de la valleé Poussin means of convex and starlike functions.
doi: 10.1007/BF02836873pmid: N/A
We consider certain natural (ℤ2)n actions on real Grassmann and flag manifolds andS 1 actions on complex Grassmann manifolds with finite stationary point sets and determine completely which of them bound equivariantly.
Das, P.; Misra, N.; Mishra, B.
doi: 10.1007/BF02836878pmid: N/A
A sufficient condition was obtained for oscillation of all solutions of theodd-order delay differential equation $$x^{(n)} (t) + \sum\limits_{i = 1}^m {p_i (t)} x(t - \sigma _{_i } ) = 0,$$ wherep i (t) are non-negative real valued continuous function in [T ∞] for someT≥0 and σi,∈(0, ∞)(i = 1,2,…,m). In particular, forp i (t) =p i ∈(0, ∞) andn > 1 the result reduces to $$\frac{1}{m}\left( {\sum\limits_{i = 1}^m {(p_i \sigma _i^m )^{1/2} } } \right)^2 > (n - 2)!\frac{{(n)^n }}{e},$$ implies that every solution of (*) oscillates. This result supplements forn > 1 to a similar result proved by Ladaset al [J. Diff. Equn.,42 (1982) 134–152] which was proved for the casen = 1.
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