Asymptotic integration of second-order nonlinear delay differential equations

Date

2015-10-01

Author

Agarwal, Ravi P.
Ertem, Tuerker
Zafer, Ağacık

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We study the asymptotic integration problem for second-order nonlinear delay differential equations of the form (p(t)x' (t))' q(t)x(t) = f (t, x(g(t))). It is shown that if a and v are principal and nonprincipal solutions of equation (p(t)x')' q(t)x = 0, then there are solutions x(1)(t) and x(2) (t) of the above nonlinear equation such that x(1)(t) = au(t) o(u(t)), t -> infinity and x(2)(t) = bv(t) o(v(t)), t -> infinity.

Subject Keywords

Delay Differential Equations, Asymptotic Integration, Fixed Point Theory, Principal And Nonprincipal Solutions

URI

https://hdl.handle.net/11511/56593

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2015.03.016

Collections

Department of Mathematics, Article

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Citation Formats

R. P. Agarwal, T. Ertem, and A. Zafer, “Asymptotic integration of second-order nonlinear delay differential equations,” APPLIED MATHEMATICS LETTERS, pp. 128–134, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56593.