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Extensions of weak type multipliers

P. Mohanty; S. Madan — 2003

Studia Mathematica

We prove that if $Λ \in M_{p} (ℝ^{N})$ and has compact support then Λ is a weak summability kernel for 1 < p < ∞, where $M_{p} (ℝ^{N})$ is the space of multipliers of $L^{p} (ℝ^{N})$ .

Oscillatory behaviour of solutions of forced neutral differential equations

N. Parhi; P. K. Mohanty — 1996

Annales Polonici Mathematici

Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.

Oscillation of solutions of forced neutral differential equations of $n$ -th order

N. Parhi; P. K. Mohanty — 1995

Czechoslovak Mathematical Journal

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