New Conditions for Testing the Oscillation of Fourth-Order Differential Equations with Several Delays

Autor: Ali Muhib, Osama Moaaz, Clemente Cesarano, Sameh S. Askar

Publikováno v: Symmetry, Vol 14, Iss 5, p 1068 (2022)

In this paper, we establish oscillation theorems for all solutions to fourth-order neutral differential equations using the Riccati transformation approach and some inequalities. Some new criteria are established that can be used in cases where known

Externí odkaz: https://doaj.org/article/3dd3a3ad3dd5478e9b35149bce6d06ad

Some oscillation theorems for nonlinear second-order differential equations with an advanced argument

Autor: George E. Chatzarakis, Tao Li, Osama Moaaz, Belgees Qaraad

Publikováno v: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-17 (2020)

The objective in this work is to study oscillation criteria for second-order quasi-linear differential equations with an advanced argument. We establish new oscillation criteria using both the comparison technique with first-order advanced differenti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4f67cc3cc4e1b5a494a401bcbb6aa2a
http://link.springer.com/article/10.1186/s13662-020-02626-9

The Sign of Lommel's Function

Autor: Steinig, J.

Publikováno v: Transactions of the American Mathematical Society, 1972 Jan 01. 163, 123-129.

Externí odkaz: https://www.jstor.org/stable/1995711

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

On the first sign change of $\theta (x) -x$

Autor: Tim Trudgian, David J. Platt

Publikováno v: Platt, D J & Trudgian, T 2015, ' On the first sign change of θ(x)-x ', Mathematics of Computation, vol. 85, pp. 1539-1547 . https://doi.org/10.1090/mcom/3021

Let θ(x) = ∑p≤xlogp. We show that θ(x) < x for 2 < x < 1.39·1017. We also show that there is an x < exp(727.951332668) for which θ(x) > x.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b020f0f5b5c9fa31298319258cd690de
https://doi.org/10.1090/mcom/3021