Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients
We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [y(t)+p(t)f(y(τ(t)))](n)+q(t)h(y(σ(t)))=0, t≥t0, t∈R, where p∈C([t0,∞),R), limt→∞p(t)=0, q∈C([t0,∞),R+), τ(t), σ(t)∈C([t0,∞)...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/158060 |
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| Summary: | We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type:
[y(t)+p(t)f(y(τ(t)))](n)+q(t)h(y(σ(t)))=0, t≥t0, t∈R, where
p∈C([t0,∞),R), limt→∞p(t)=0, q∈C([t0,∞),R+), τ(t), σ(t)∈C([t0,∞),R), τ(t), σ(t)<t, limt→∞τ(t), σ(t)=∞, and
f,h∈C(R,R). We obtain sufficient conditions for the oscillation of all solutions of this equation. |
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| ISSN: | 1110-757X 1687-0042 |