Oscillation of fourth-order neutral differential equations with p-Laplacian like operators
نویسندگان
چکیده
We study oscillatory behavior of a class of fourth-order neutral differential equations with a p-Laplacian like operator using the Riccati transformation and integral averaging technique. A Kamenev-type oscillation criterion is presented assuming that the noncanonical case is satisfied. This new theorem complements and improves a number of results reported in the literature. An illustrative example is provided. MSC: 34C10; 34K11
منابع مشابه
Nonlinear oscillation of certain third-order neutral differential equation with distributed delay
The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...
متن کاملExistence and uniqueness of solutions for p-laplacian fractional order boundary value problems
In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.
متن کاملOscillation of fourth-order nonlinear neutral delay dynamic equations
In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form (a(t)([x(t)− p(t)x(h(t))])) + q(t)x(g(t)) = 0, t ∈ [t0,∞)T, where α and β are quotients of positive odd integers with β ≤ α. 2000 AMS Classification: 34C10, 34C15.
متن کاملOscillation of third-order nonlinear neutral differential equations
With the development of modern society, research on properties of ordinary differential equation is becoming one of the hotspots in mathematical field. Neutral differential equation which is usually generated in natural science and engineering field is always extensively concerned by many scientific researchers for it can effectively describe multiple complex phenomena in natural world. In rece...
متن کاملOn the Bounded Oscillation of Certain Fourth Order Functional Differential Equations
Some new criteria for the bounded oscillation of a fourth order functional differential equation are established. Comparison results with first/second order equations as well as necessary and sufficient conditions are developed.
متن کامل