Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
نویسندگان
چکیده
The oscillation of a class fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject this research. We propose new explanation equation in terms similar well-studied second-order linear without damping. extended Riccati transformation, integral averaging approach, and comparison principles are used to provide some additional oscillatory criteria. An example demonstrates efficacy acquired
منابع مشابه
New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact s...
متن کاملOscillatory Solutions for Certain Delay-differential Equations
The existence of oscillatory solutions for a certain class of scalar first order delay-differential equations is proved. An application to a delay logistic equation arising in certain models for population variation of a single specie in a constant environment with limited resources for growth is considered. It is known (cf. [1, 2]) that all solutions of the delay logistic equations (1) N'(t) =...
متن کاملTopological soliton solutions of the some nonlinear partial differential equations
In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...
متن کاملGlobal Bifurcation of Oscillatory Periodic Solutions of Delay Differential Equations
where λ > 0 is a parameter. We will be interested in large values of this parameter. Note that, for every function y : R → R the “translates” yt : [−M, 0]→ R are defined by yt(θ) . = y(t + θ), where −M ≤ θ ≤ 0. Equation (Eλ) includes equations with constant delays (e.g. f(φ) = g(φ(−M)), φ ∈ C([−M, 0];R), for some g : R → R) or state dependent delays (e.g. f(φ) = g(φ(−r(φ(0)))), for some r : R →...
متن کاملOn Oscillatory Nonlinear Second Order Neutral Delay Differential Equations
In this work, we investigate the oscillation criteria for second order neutral delay differential equations of the form (r(t)[y(t)+ p(t)y(δ (t))]′)′ +q(t)G(y(τ(t))) = 0 and (r(t)[[y(t)+ p(t)y(δ (t))]′]α )′ +q(t)(yβ (τ(t))) = 0, where α and β are the ratio of odd positive integers. Mathematics subject classification (2010): 34C10, 34C15.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10060995