1. On nonoscillation of canonical or noncanonical disconjugate functional equations
- Creator:
- Singh, Bhagat
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- canonical, noncanonical, oscillatory, nonoscillatory, and principal system
- Language:
- English
- Description:
- Qualitative comparison of the nonoscillatory behavior of the equations \[ L_ny(t) + H(t,y(t)) = 0 \] and \[ L_ny(t) + H(t,y(g(t))) = 0 \] is sought by way of finding different nonoscillation criteria for the above equations. $L_n$ is a disconjugate operator of the form \[ L_n = \frac{1}{p_n(t)} \frac{\mathrm{d}{}}{\mathrm{d}t} \frac{1}{p_{n-1}(t)} \frac{\mathrm{d}{}}{\mathrm{d}t} \ldots \frac{\mathrm{d}{}}{\mathrm{d}t} \frac{\cdot }{p_0(t)}. \] Both canonical and noncanonical forms of $L_n$ have been studied.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public