On the Zeroes and the Critical Points of a Solution of a Second Order Half‐Linear Differential Equation | Zendy

Pedro Almenar | Zendy; L. Jódar | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Zeroes and the Critical Points of a Solution of a Second Order Half‐Linear Differential Equation

Author(s) -

Pedro Almenar,

L. Jódar

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/787920

Subject(s) - mathematics , order (exchange) , linear differential equation , mathematical analysis , differential equation , homogeneous differential equation , ordinary differential equation , differential algebraic equation , finance , economics

This paper presents two methods to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second-order half-linear differential equation (p(x)Φ(y'))'+q(x)Φ(y)=0, with p(x) and q(x) piecewise continuous and p(x)>0, Φ(t)=|t|r-2t and r being real such that r>1. It also compares between them in several examples. Lower bounds (i.e., Lyapunov inequalities) for such a distance are also provided and compared with other methods

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research