Transition from circular to spiral waves and from Mexican hat to upside-down Mexican hat-solutions: The cases of local and nonlocal λ− ω reaction-diffusion …

RA El-Nabulsi - Chaos, Solitons & Fractals, 2024 - Elsevier
Nonlinear partial differential equations admitting traveling wave solutions play an important
role in the description and analysis of real-life physical processes and nonlinear …

[HTML][HTML] Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform

E Chandrasekaran, GE Chatzarakis, R Sakthivel… - Mathematics, 2024 - mdpi.com
This paper focuses on the oscillatory properties of the third-order semi-canonical nonlinear
delay differential equation. By using the new canonical transform method, we transformed …

[HTML][HTML] Third-Order Noncanonical Neutral Delay Differential Equations: Nonexistence of Kneser Solutions via Myshkis Type Criteria

G Nithyakala, GE Chatzarakis, G Ayyappan… - Mathematics, 2024 - mdpi.com
The purpose of this paper is to add some new asymptotic and oscillatory results for third-
order neutral delay differential equations with noncanonical operators. Without assuming …