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Open AccessArticle

Improved Conditions for Oscillation of Functional Nonlinear Differential Equations

by Omar Bazighifan 1,2,† and Mihai Postolache 3,4,5,*,†
1
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
2
Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
3
Center for General Education, China Medical University, Taichung 40402, Taiwan
4
Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
5
Romanian Academy, Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(4), 552; https://doi.org/10.3390/math8040552
Received: 17 March 2020 / Revised: 1 April 2020 / Accepted: 3 April 2020 / Published: 9 April 2020
(This article belongs to the Special Issue Multivariate Approximation for solving ODE and PDE)
The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations. This new theorem complements and improves a number of results reported in the literature. Some examples are provided to illustrate the main results. View Full-Text
Keywords: oscillatory solutions; nonoscillatory solutions; fourth-order; delay differential equations; riccati transformation oscillatory solutions; nonoscillatory solutions; fourth-order; delay differential equations; riccati transformation
MDPI and ACS Style

Bazighifan, O.; Postolache, M. Improved Conditions for Oscillation of Functional Nonlinear Differential Equations. Mathematics 2020, 8, 552.

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