Oscillatory and asymptotic behavior of fourth order nonlinear neutral delay differential equations with positive and negative coefficients
2014
artykuł naukowy
angielski
- functional differential equations
- neutral
- nonlinear
- oscillation
- positive and negative coefficients
- asymptotic behavior
EN In this paper, Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral differential equations with positive and negative coefficients of the form (H) (r(t)(y(t) + p(t)y(t – τ))")" + q(t)G(y(t – α)) – h(t) H (y(t – β)) = 0 and (NH) (H) (r(t)(y(t) + p(t)y(t – τ))")" + q(t)G(y(t – α)) – h(t) H (y(t – β)) = f (t) are studied under the assumption ∫0∞ (t/r(t))dt = ∞ for various ranges of p(t). Using Schauder’s fixed point theorem, sufficient conditions are obtained for the existence of bounded positive solutions of (NH).
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